1. This problem is in reference to students who may or may not take advantage of

1. This problem is in reference to students who may or may
not take advantage of the opportunities
provided in QMB such as homework. Some of the students pass
the course, and some of them do not
pass. Research indicates that 40% of the students do the
assigned homework. Of the students who do
homework, there is an 80% chance they will pass the course.
The probability of not passing if the student
does not do the home work is 90%. What is the probability of
a student not doing homework or passing?
A. .32
B. .52
C. .94
D. .92
E. .38

2. Suppose that for a certain football game the probability
that the home team will be ahead at half time
is 0.60 and the probability that the home team will be ahead
at half time as well as at the final gun is 0.45.
What is the probability that the home team will win this
game given that it is ahead at the half?
A. .45
B. .75
C. .15
D. .27
E. None of the above

2. Suppose that for a certain football game the probability
that the home team will be ahead at half time
is 0.60 and the probability that the home team will be ahead
at half time as well as at the final gun is 0.45.
What is the probability that the home team will win this
game given that it is ahead at the half?
A. .45
B. .75
C. .15
D. .27

4. A quality control department finds that it accepted only
5% of all bad items and it rejected only 1% of
good items. A supplier has just delivered a shipment of a
certain item. Past records show that only
90% of the parts of that supplier are good. If the
department accepts an item, what is the probability that
the item is bad? Round your answer to five decimal places.
A. 0.05000
B. 0.00558
C. 0.35714
D. 0.09635
E. None of the above
E. None of the above

5. The probability that house sales will increase over the
next six months is estimated at 0.25. It is also
estimated that the probability is 0.74 that 30 year
fixed-loan mortgage rates will increase over this period.
Economists estimate that the probability is 0.89 that either
housing sales or interest rates will increase.
The probability that both house sales and interest rates
will increase is estimated at:
A. .100
B. .185
C. .705
D. .900
E. .50

6. Over the last 100 business days, Harry had 20 customers
on 30 of those days, 25 customers on 20 days,
35 customers on 30 days, 40 customers on 10 days, and 45
customers on 10 days. What is the variance of
the number of Harrys customers?
A. 30
B. 38
C. 59
D. 75
E. 83

7. What is the probability that exactly 1 out of 10 cars
experience a breakdown if the probability of a
breakdown is 30%?
A. .5121
B. .1211
C. .0282
D. .3828
E. .4276

8. An accounts receivable auditor is examining accounts for
a client. The accounts receivable balance can
be considered as a continuous random variable that exhibits
normal distribution characteristics. The
mean amount due per account is $5000. The standard deviation
is $1000. The auditor selects an account
at random.
The probability that the account selected by the Auditor has
a balance which is outside of the range
between $6500 and $7000 is:
A. .05
B. .10
C. 1.20
D. .96
E. .00

9. Suppose the length of time (in days) between sales for an
automobile salesperson is modeled as an
exponential distribution with a mean of 2 days. What is the
probability the salesperson goes more than 5
days without a sale?
A. .75
B. .92
C. .08
D. .40
E. None of the above

9. Suppose the length of time (in days) between sales for an
automobile salesperson is modeled as an
exponential distribution with a mean of 2 days. What is the
probability the salesperson goes more than 5
days without a sale?
A. .75
B. .92
C. .08
D. .40
E. None of the above

Use the following to answer questions 11-12
The new owner of a beauty shop is trying to decide whether
to hire one, two, or three beauticians. She estimates
that profits next year (in thousands of dollars) will vary
with demand for her services and has estimated demand
in three categories low, medium and high.
NUMBER
OF
BEAUTICIANS
DEMAND
LOW MEDIUM HIGH
One 50 75 100
Two 0 100 100
Three 100 70 300
11. If she uses the optimistic criterion, how many
beauticians will she decide to hire?
A. one
B. two
C. three
D. either one or two
E. either two or three

12. If she uses the minimax regret criterion, how many
beauticians will she decide to hire?
A. one
B. two
C. three
D. either one or two
E. either two or three

Use the following decision tree to respond to the next 5
questions:
13. What is the
expected value at node 4?
A. 47.50
B. 43.75
C. 70.00
D. 45.00
E. 71.25
14. What is the expected value of perfect information?
A. 45.00
B. 40.00
C. 10.00
D. 5.00
E. 49.25

15. What is the expected value at node 2?
A. 35.00
B. 7.50
C. 47.50
D. 49.50
E. 55.00
16. What is the best decision strategy for the manager?
A. Do not do the survey, select a large store
B. Do not do the survey, select a Small store
C. Do the survey. If the survey shows low demand then select
a small store;
If the survey shows high demand then select a large store.
D. Do the survey. If the survey shows low demand then select
a large store;
If the survey shows high demand then select a small store.
E. None of the above is correct
17. What is the expected value of sample information?
A. 45.00
B. 71.25
C. 49.50
D. 1.25
E. 4.50

17-2. What is the efficiency of the sample information?

18. A statistician working for a car manufacturer developed
a statistical model for predicting delivery
time (the number of days between ordering a car and actual
delivery) of a particular model for which
there is a range of factory-fitted options. Use the output
below to forecast the difference in delivery times
for cars with 6 options and 9 options, rounded to two
decimal places.
A. 4.38
B. 3.28
C. 6.58
D. 9.84
E. 29.73

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.92
R Square 0.85
Adjusted R Square 0.83
Standard Error 4.38
Observations 10
Analysis of Variance
df SS
Regression 1 890.19
Residual 8 153.41
Total 9 1043.59
Coefficients Standard Error
Intercept 29.73 Y-int 2.99
Factory-Fitted Options (Ind) 3.28 Slope 0.48

19. Given the table below what is the MAD and the MSE?
Period Actual Forecast
1 95 100
2 108 110
3 123 120
4 130 130

The Acme Computer Company has recorded sales of one of its
products for a six-week period:
Using the three-week simple moving-average method, forecast
sales for week 7.

21. Shown below are data that reflect the number of daily
traffic accidents at a dangerous city
intersection. The regression equation is: number of
accidents = 5.3 + 0.5 t
What is the forecasted number of accidents for day 6?
Day (t) number of
accidents
1 5
2 7
3 8
4 6
5 8
A. 8.0
B. 5.8
C. 8.3
D. 0.6
E. 9.0

22. The following table contains the number of consumer
complaints received in a Publix supermarket in
Florida. Use exponential smoothing with a constant of ? =
0.33 to forecast the number of complaints in
March, round to the nearest whole number of complaints.
Month Number of Complaints
January 36
February 45
March 81
April 90
May 108
June 144
A. 39
B. 42
C. 45
D. 53
E. 64

For the next 3 questions, consider the following summary
output from Microsoft Excel for a simple
regression of Halliburton (ticker symbol H

23. According to the regression model, the correlation
between Halliburtons stock price and the
S&P500 index value is:
A. Positive.
B. Negative.
C. Significant and either positive or negative.
D. Significant, but it cannot be determined whether the
correlation is positive or negative.
E. Not significant.

24. The regression model ABOVE is:
A. Not significant, because the standard error of the
intercept is high compared to the
standard error of the independent variable.
B. Significant at the 0.01 level, because the coefficient of
determination is less than 0.05.
C. Significant at the 0.05 level, because the p-value is
less than 0.05.
D. Not significant, because the coefficient of determination
is larger than 1.0.
E. Significant at the 0.01 level, because the t-statistic is
negative.

25a. According to the regression model ABOVE, when the
S&P 500 index value is 1,000, the forecasted
Halliburton stock price is:
A. $29.75/share.
B. $0.35/share.
C. $122/share.
D. $121.65/share.
E. Cannot be determined from the tabulated data

25b. The S&P index value must be $1,200 for the
Halliburton stock to be priced at $24.75

. Corporate AAA bond interest rates for 12 consecutive
months are 9.5%, 9.3%, 9.4%, 9.6%, 9.8%,
9.7%, 9.8%, 10.5%, 9.9%, 9.7%, 9.6% and 9.6%. The
three-month weighted moving average
forecast (with weights 0.2, 0.4 and 0.4 – from oldest to most
recent respectively) for the next month,
rounded to two decimal places, is:
A. 9.60% Month Rates (%)
Forecast Weights
B. 9.65% 1 9.5 – Oldest 0.2
C. 9.70% 2 9.3 – Middle 0.4
D. 9.62% 3 9.4 – Recent 0.4
E. None of the above

Questions 27 & 28 apply to this information: Quill
Manufacturing Business makes two models of
marking pens. An unlabeled graph for this problem and the
requirements for each lot of pens in the three
manufacturing departments are given below. All three
departments are necessary in the production of
both types of pens. The profit for either kind of pen is
$1000 per lot. An unlabeled graph for this
problem is given below. The dotted line represents the
objective function line.
Fliptop Model Tiptop Model Available production hrs.
Ink Assembly 3 4 36
Molding Time 5 4 40
Plastic 5 2 30

27. What is the optimal production quantity of the Fliptop
model?
A. 5 lots
B. 4 lots
C. 2 lots
D. 7 lots
E. 6 lots
28. If all the constraint inequalities in the original
problem were ?, then the following is true:
A. The value of the objective function at the optimum
solution is zero
B. There will be multiple optimal solutions
C. The problem will become unbounded
D. The problem has a unique solution
E. None of the above is true

29. Let M be the number of units to make and B be the number
of units to buy of a certain product. If it
costs $2 to make a unit and $3 to buy a unit and 4000 units
are needed, the objective function of the LP
model to minimize the cost of production would be,
A. Min 4000 (M + B)
B. Max 8000M + 12000B
C. Min 2M + 3B
D. Max 2M + 3B
E. Min 4000U -2M-3B

30. The Quiet Meadow Studio sells photographs and prints. It
cost $20 to purchase each photograph and
it takes 2 hours to frame it. It costs $25 to purchase each
print and it takes 5 hours to frame it. The store
has at most $400 to spend and at most 60 hours to frame.
It makes $30 profit on each photograph and $50 profit on
each print. Determine the maximum profit.
A. 360
B. 600
C. 700
D. 740
E. 800

Questions 31 & 32 apply to this information: Quality
Bike Maps has produced four map designs for the local
area. A limited amount of time (in minutes) is allocated to
the printing, cutting and folding of each map.
Additionally, at least one thousand of map designs A, B, and
C must be printed. The profit per map is $1 for A
and B and $2 for C and D. The Excel output is provided
below.
Max Profit = A + B + 2 C + 2 D
s.t. 1A + 2 B + 3 C + 3 D < 15000 Print
2 A + 4 B + C + 3 D
< 20000 Cut
3 A + 2 B + 5 C + 3 D
1000 Print A
B > 1000 Print B
C > 1000 Print C
Microsoft Excel Sensitivity Report
Objective Function Value $10,166.67

31. Answer the following question using the Excel output
above. Which constraint(s) are binding?
A. Print and Fold
B. Cut and Print A
C. Print B and Print C
D. Print and Cut
E. Print, Fold, Print B and Print C

32. Answer the following question using the Excel output
above. Keeping within the confines of the
problem, the profit on Map A has increased by one dollar.
Determine the new objective function value.
A. 1,500
B. 11,166.67
C. 11,500.67
D. 11,666.67
E. 12,566.67

33. Quentin Magic Brown manufactures sports shoes and wants
to maximize the company’s profits. The
company makes two types of sport shoe, Airwalkers and Bouncy
Basketball shoes. The company earns
$10 profit on each pair of Airwalkers and $18 profit on each
pair of Bouncy Basketball shoes.
The manufacturing process includes cutting the materials on
a machine and having workers assemble the
pieces. Each pair of Airwalkers requires 3 minutes of
cutting time and the Bouncy Basketball shoes
require 2 minutes. The machines that cut the material can
run at most 1200 minutes a week.
Each worker takes 7 hours to assemble a pair of Airwalkers
and 8 hours to assemble a pair of Bouncy
Basketball shoes; the maximum number of hours available is
3500 per week.
Determine the maximum profit for this problem?
A. $3200
B. $4000
C. $4280
D. $6295
E. $7875

Questions 34-37 apply to the Excel output for the Quantum
Mo-Botics model is below. The company
makes three types of machines and has limitations with
regards to the amount of skilled and unskilled
labor hours available and time on the assembly line.
MAX Profit = 800SemiAuto+1000Robotic + 500Manual
s.t.
30SemiAuto + 100Robotic + 45Manual < 4500 Skilled Labor
100SemiAuto + 70Robotic + 90Manual < 9000 Unskilled Labor
15SemiAuto + 20Robotic + 10Manual >> Graphing
points (0, 600) (150, 0)
28C + 32S >>> Graphing
points (0, 437.5) (500, 0)
a.
What is the optimal solution? (
b. Now add a constraint: demand for Strawberry is always
less than 200 cases and determine the optimal
solution.

c. Add another constraint: demand for Chocolate is always
less than 400 cases and determine the optimal
solution.

39. Using the decision table below
0.2 0.7 0.1
S1 S2 S3
D1 500 300 -400
D2 600 200 200
D3 -100 -300 900
a.
Determine the expected value for the best
decision?
b.
Determine the most you would pay for a highly
reliable forecast.? $140
b.

40. In a survey about soft drinks it was found that 5% of
the respondents like diet soft drinks.
12% of them liked the brand Coke. Of all the Diet soda
drinkers 40% liked Coke.

a.
What is the probability that a respondent like
Coke and Diet drinks? P(Coke & Diet) =? 0.02
a.

b.
What is the probability that the respondent like
Diet or not Coke? P(Diet or Not Coke) = ? 0.90
b.

c. Of the people who did not like diet drinks, what is the
probability that that liked Coke?
1. This problem is in reference to students who may or may
not take advantage of the opportunities provided in QMB such as homework. Some of the students pass
the course, and some of them do not pass. Research indicates that 40% of the students do the
assigned homework. Of the students who do homework, there is an 80% chance they will pass the course.
The probability of not passing if the student does not do the home work is 90%. What is the probability of
a student not doing homework or passing? A. .32B. .52C. .94D. .92E. .382. Suppose that for a certain football game the probability
that the home team will be ahead at half timeis 0.60 and the probability that the home team will be ahead
at half time as well as at the final gun is 0.45. What is the probability that the home team will win this
game given that it is ahead at the half? A. .45B. .75C. .15D. .27E. None of the above2. Suppose that for a certain football game the probability
that the home team will be ahead at half timeis 0.60 and the probability that the home team will be ahead
at half time as well as at the final gun is 0.45. What is the probability that the home team will win this
game given that it is ahead at the half? A. .45B. .75C. .15D. .274. A quality control department finds that it accepted only
5% of all bad items and it rejected only 1% of good items. A supplier has just delivered a shipment of a
certain item. Past records show that only 90% of the parts of that supplier are good. If the
department accepts an item, what is the probability that the item is bad? Round your answer to five decimal places. A. 0.05000 B. 0.00558C. 0.35714 D. 0.09635 E. None of the aboveE. None of the above5. The probability that house sales will increase over the
next six months is estimated at 0.25. It is also estimated that the probability is 0.74 that 30 year
fixed-loan mortgage rates will increase over this period. Economists estimate that the probability is 0.89 that either
housing sales or interest rates will increase.The probability that both house sales and interest rates
will increase is estimated at: A. .100 B. .185 C. .705 D. .900E. .506. Over the last 100 business days, Harry had 20 customers
on 30 of those days, 25 customers on 20 days, 35 customers on 30 days, 40 customers on 10 days, and 45
customers on 10 days. What is the variance of the number of Harrys customers? A. 30 B. 38 C. 59 D. 75E. 837. What is the probability that exactly 1 out of 10 cars
experience a breakdown if the probability of a breakdown is 30%?A. .5121B. .1211C. .0282D. .3828E. .42768. An accounts receivable auditor is examining accounts for
a client. The accounts receivable balance can be considered as a continuous random variable that exhibits
normal distribution characteristics. The mean amount due per account is $5000. The standard deviation
is $1000. The auditor selects an account at random. The probability that the account selected by the Auditor has
a balance which is outside of the range between $6500 and $7000 is: A. .05B. .10C. 1.20D. .96E. .009. Suppose the length of time (in days) between sales for an
automobile salesperson is modeled as an exponential distribution with a mean of 2 days. What is the
probability the salesperson goes more than 5 days without a sale? A. .75B. .92C. .08D. .40E. None of the above9. Suppose the length of time (in days) between sales for an
automobile salesperson is modeled as an exponential distribution with a mean of 2 days. What is the
probability the salesperson goes more than 5 days without a sale? A. .75B. .92C. .08D. .40E. None of the aboveUse the following to answer questions 11-12The new owner of a beauty shop is trying to decide whether
to hire one, two, or three beauticians. She estimates that profits next year (in thousands of dollars) will vary
with demand for her services and has estimated demand in three categories low, medium and high.NUMBEROFBEAUTICIANSDEMANDLOW MEDIUM HIGHOne 50 75 100Two 0 100 100Three 100 70 30011. If she uses the optimistic criterion, how many
beauticians will she decide to hire? A. one B. two C. threeD. either one or two E. either two or three12. If she uses the minimax regret criterion, how many
beauticians will she decide to hire? A. one B. two C. threeD. either one or two E. either two or threeUse the following decision tree to respond to the next 5
questions: 13. What is the
expected value at node 4?A. 47.50B. 43.75C. 70.00D. 45.00E. 71.2514. What is the expected value of perfect information?A. 45.00B. 40.00C. 10.00D. 5.00E. 49.2515. What is the expected value at node 2?A. 35.00B. 7.50C. 47.50D. 49.50E. 55.0016. What is the best decision strategy for the manager?A. Do not do the survey, select a large storeB. Do not do the survey, select a Small storeC. Do the survey. If the survey shows low demand then select
a small store;If the survey shows high demand then select a large store.D. Do the survey. If the survey shows low demand then select
a large store;If the survey shows high demand then select a small store.E. None of the above is correct17. What is the expected value of sample information?A. 45.00B. 71.25C. 49.50D. 1.25E. 4.5017-2. What is the efficiency of the sample information?18. A statistician working for a car manufacturer developed
a statistical model for predicting delivery time (the number of days between ordering a car and actual
delivery) of a particular model for which there is a range of factory-fitted options. Use the output
below to forecast the difference in delivery times for cars with 6 options and 9 options, rounded to two
decimal places. A. 4.38B. 3.28C. 6.58D. 9.84E. 29.73SUMMARY OUTPUTRegression StatisticsMultiple R 0.92R Square 0.85Adjusted R Square 0.83Standard Error 4.38Observations 10Analysis of Variancedf SSRegression 1 890.19Residual 8 153.41Total 9 1043.59Coefficients Standard ErrorIntercept 29.73 Y-int 2.99Factory-Fitted Options (Ind) 3.28 Slope 0.4819. Given the table below what is the MAD and the MSE?Period Actual Forecast1 95 1002 108 1103 123 1204 130 130The Acme Computer Company has recorded sales of one of its
products for a six-week period: Using the three-week simple moving-average method, forecast
sales for week 7.21. Shown below are data that reflect the number of daily
traffic accidents at a dangerous city intersection. The regression equation is: number of
accidents = 5.3 + 0.5 tWhat is the forecasted number of accidents for day 6? Day (t) number of
accidents 1 5 2 7 3 8 4 6 5 8A. 8.0B. 5.8C. 8.3D. 0.6 E. 9.022. The following table contains the number of consumer
complaints received in a Publix supermarket in Florida. Use exponential smoothing with a constant of ? =
0.33 to forecast the number of complaints in March, round to the nearest whole number of complaints.Month Number of ComplaintsJanuary 36 February 45March 81April 90 May 108June 144A. 39B. 42C. 45D. 53E. 64For the next 3 questions, consider the following summary
output from Microsoft Excel for a simple regression of Halliburton (ticker symbol H23. According to the regression model, the correlation
between Halliburtons stock price and the S&P500 index value is:A. Positive.B. Negative.C. Significant and either positive or negative.D. Significant, but it cannot be determined whether the
correlation is positive or negative.E. Not significant.24. The regression model ABOVE is:A. Not significant, because the standard error of the
intercept is high compared to thestandard error of the independent variable.B. Significant at the 0.01 level, because the coefficient of
determination is less than 0.05.C. Significant at the 0.05 level, because the p-value is
less than 0.05.D. Not significant, because the coefficient of determination
is larger than 1.0.E. Significant at the 0.01 level, because the t-statistic is
negative.25a. According to the regression model ABOVE, when the
S&P 500 index value is 1,000, the forecasted Halliburton stock price is:A. $29.75/share.B. $0.35/share.C. $122/share.D. $121.65/share.E. Cannot be determined from the tabulated data25b. The S&P index value must be $1,200 for the
Halliburton stock to be priced at $24.75. Corporate AAA bond interest rates for 12 consecutive
months are 9.5%, 9.3%, 9.4%, 9.6%, 9.8%, 9.7%, 9.8%, 10.5%, 9.9%, 9.7%, 9.6% and 9.6%. The
three-month weighted moving average forecast (with weights 0.2, 0.4 and 0.4 – from oldest to most
recent respectively) for the next month, rounded to two decimal places, is:A. 9.60% Month Rates (%)
Forecast WeightsB. 9.65% 1 9.5 – Oldest 0.2C. 9.70% 2 9.3 – Middle 0.4D. 9.62% 3 9.4 – Recent 0.4E. None of the aboveQuestions 27 & 28 apply to this information: Quill
Manufacturing Business makes two models of marking pens. An unlabeled graph for this problem and the
requirements for each lot of pens in the three manufacturing departments are given below. All three
departments are necessary in the production of both types of pens. The profit for either kind of pen is
$1000 per lot. An unlabeled graph for this problem is given below. The dotted line represents the
objective function line.Fliptop Model Tiptop Model Available production hrs.Ink Assembly 3 4 36Molding Time 5 4 40Plastic 5 2 3027. What is the optimal production quantity of the Fliptop
model?A. 5 lotsB. 4 lotsC. 2 lotsD. 7 lotsE. 6 lots28. If all the constraint inequalities in the original
problem were ?, then the following is true: A. The value of the objective function at the optimum
solution is zeroB. There will be multiple optimal solutionsC. The problem will become unboundedD. The problem has a unique solutionE. None of the above is true29. Let M be the number of units to make and B be the number
of units to buy of a certain product. If it costs $2 to make a unit and $3 to buy a unit and 4000 units
are needed, the objective function of the LP model to minimize the cost of production would be,A. Min 4000 (M + B)B. Max 8000M + 12000BC. Min 2M + 3BD. Max 2M + 3BE. Min 4000U -2M-3B30. The Quiet Meadow Studio sells photographs and prints. It
cost $20 to purchase each photograph and it takes 2 hours to frame it. It costs $25 to purchase each
print and it takes 5 hours to frame it. The store has at most $400 to spend and at most 60 hours to frame.It makes $30 profit on each photograph and $50 profit on
each print. Determine the maximum profit.A. 360B. 600C. 700D. 740E. 800Questions 31 & 32 apply to this information: Quality
Bike Maps has produced four map designs for the local area. A limited amount of time (in minutes) is allocated to
the printing, cutting and folding of each map.Additionally, at least one thousand of map designs A, B, and
C must be printed. The profit per map is $1 for A and B and $2 for C and D. The Excel output is provided
below. Max Profit = A + B + 2 C + 2 Ds.t. 1A + 2 B + 3 C + 3 D < 15000 Print 2 A + 4 B + C + 3 D
1000 Print B C > 1000 Print CMicrosoft Excel Sensitivity Report Objective Function Value $10,166.6731. Answer the following question using the Excel output
above. Which constraint(s) are binding?A. Print and FoldB. Cut and Print AC. Print B and Print CD. Print and CutE. Print, Fold, Print B and Print C32. Answer the following question using the Excel output
above. Keeping within the confines of the problem, the profit on Map A has increased by one dollar.
Determine the new objective function value.A. 1,500B. 11,166.67C. 11,500.67D. 11,666.67E. 12,566.6733. Quentin Magic Brown manufactures sports shoes and wants
to maximize the company’s profits. The company makes two types of sport shoe, Airwalkers and Bouncy
Basketball shoes. The company earns $10 profit on each pair of Airwalkers and $18 profit on each
pair of Bouncy Basketball shoes. The manufacturing process includes cutting the materials on
a machine and having workers assemble the pieces. Each pair of Airwalkers requires 3 minutes of
cutting time and the Bouncy Basketball shoes require 2 minutes. The machines that cut the material can
run at most 1200 minutes a week. Each worker takes 7 hours to assemble a pair of Airwalkers
and 8 hours to assemble a pair of Bouncy Basketball shoes; the maximum number of hours available is
3500 per week. Determine the maximum profit for this problem? A. $3200B. $4000C. $4280D. $6295E. $7875Questions 34-37 apply to the Excel output for the Quantum
Mo-Botics model is below. The company makes three types of machines and has limitations with
regards to the amount of skilled and unskilled labor hours available and time on the assembly line.MAX Profit = 800SemiAuto+1000Robotic + 500Manuals.t.30SemiAuto + 100Robotic + 45Manual < 4500 Skilled Labor100SemiAuto + 70Robotic + 90Manual < 9000 Unskilled Labor15SemiAuto + 20Robotic + 10Manual >> Graphing
points (0, 600) (150, 0)28C + 32S >>> Graphing
points (0, 437.5) (500, 0)a.
What is the optimal solution? (b. Now add a constraint: demand for Strawberry is always
less than 200 cases and determine the optimal solution.c. Add another constraint: demand for Chocolate is always
less than 400 cases and determine the optimal solution.39. Using the decision table below0.2 0.7 0.1S1 S2 S3D1 500 300 -400D2 600 200 200D3 -100 -300 900a.
Determine the expected value for the best
decision?b.
Determine the most you would pay for a highly
reliable forecast.? $140b.40. In a survey about soft drinks it was found that 5% of
the respondents like diet soft drinks. 12% of them liked the brand Coke. Of all the Diet soda
drinkers 40% liked Coke.a.
What is the probability that a respondent like
Coke and Diet drinks? P(Coke & Diet) =? 0.02a.b.
What is the probability that the respondent like
Diet or not Coke? P(Diet or Not Coke) = ? 0.90b.c. Of the people who did not like diet drinks, what is the
probability that that liked Coke?

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