Goya-goya can manufacture three types of candy bars. Each candy bar consists totally of sugar and chocolate. The compositions of each type of candy bar and the profit earned from each candy bar are shown below. Fifty ounces of sugar and 100 ounces of chocolate are available. Profit (pesos) Amount of sugar Amount of chocolate (ounces) 1 (ounces) 2 Barl Bar2 Bar3 3 1 3 7 1 1 5 i. Formulate the LP model. ii. Solve the optimal solution. Give the optimal tableau. You can use any available software to arrive at the optimal tableau for the LP problem. iii. Using the optimal tableau, answer the following questions: a. For what values of type 1 candy bar profit does the current basis remain optimal? If the profit for a type 1 candy bar were P7, what would be the optimal solution to Goya-goya's problem? b. For what values of type 2 candy bar profit does the current basis remain optimal? If the profit for a type 1 candy bar were P13, what would be the optimal solution to Goya-goya's problem? c. For what amount of available sugar would the current basis remain optimal? d. If 60 oz of sugar were available, what would be Goya-goya's profit? How many of each candy bar should they make? e. Suppose a type 1 candy bar used only 0.5 oz of sugar and 0.5 oz of chocolate. Should Goya-goya now make type i candy bars? What will be the optimal product mix solution? f. Goya-goya is considering making type 4 candy bars. A type 4 candy bar earns P17 profit and requires 3 oz of sugar and 4 oz of chocolate. Should Goya-goya manufacture any type 4 candy bars? What will be the optimal product mix?
Goya-goya can manufacture three types of candy bars. Each candy bar consists totally of sugar and chocolate. The compositions of each type of candy bar and the profit earned from each candy bar are shown below. Fifty ounces of sugar and 100 ounces of chocolate are available. Profit (pesos) Amount of sugar Amount of chocolate (ounces) 1 (ounces) 2 Barl Bar2 Bar3 3 1 3 7 1 1 5 i. Formulate the LP model. ii. Solve the optimal solution. Give the optimal tableau. You can use any available software to arrive at the optimal tableau for the LP problem. iii. Using the optimal tableau, answer the following questions: a. For what values of type 1 candy bar profit does the current basis remain optimal? If the profit for a type 1 candy bar were P7, what would be the optimal solution to Goya-goya's problem? b. For what values of type 2 candy bar profit does the current basis remain optimal? If the profit for a type 1 candy bar were P13, what would be the optimal solution to Goya-goya's problem? c. For what amount of available sugar would the current basis remain optimal? d. If 60 oz of sugar were available, what would be Goya-goya's profit? How many of each candy bar should they make? e. Suppose a type 1 candy bar used only 0.5 oz of sugar and 0.5 oz of chocolate. Should Goya-goya now make type i candy bars? What will be the optimal product mix solution? f. Goya-goya is considering making type 4 candy bars. A type 4 candy bar earns P17 profit and requires 3 oz of sugar and 4 oz of chocolate. Should Goya-goya manufacture any type 4 candy bars? What will be the optimal product mix?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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kindly answer items (iii) d, (iii) e, and (iii) f
Transcribed Image Text:Goya-goya can manufacture three types of candy bars. Each candy bar consists totally of sugar and
chocolate. The compositions of each type of candy bar and the profit earned from each candy bar are shown
below. Fifty ounces of sugar and 100 ounces of chocolate are available.
Amount of sugar Amount of chocolate
(ounces)
1
Profit
(ounces)
(pesos)
Barl
2
3
Bar2
1
3
7
Bar3
1
1
5
i. Formulate the LP model.
ii. Solve the optimal solution. Give the optimal tableau. You can use any available software to arrive at the optimal
tableau for the LP problem.
iii. Using the optimal tableau, answer the following questions:
a. For what values of type 1 candy bar profit does the current basis remain optimal? If the profit for a type
1 candy bar were P7, what would be the optimal solution to Goya-goya's problem?
b. For what values of type 2 candy bar profit does the current basis remain optimal? If the profit for a type
1 candy bar were pi3, what would be the optimal solution to Goya-goya's problem?
c. For what amount of available sugar would the current basis remain optimal?
d. If 60 oz of sugar were available, what would be Goya-goya's profit? How many of each candy bar
should they make?
e. Suppose a type 1 candy bar used only 0.5 oz of sugar and 0.5 oz of chocolate. Should Goya-goya now
make type i candy bars? What will be the optimal product mix solution?
f. Goya-goya is considering making type 4 candy bars. A type 4 candy bar earns P17 profit and requires
3 oz of sugar and 4 oz of chocolate. Should Goya-goya manufacture any type 4 candy bars? What will
be the optimal product mix?
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