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4. ( and deluxe. The estimated unit price on the standard, professional and deluxe model is $40, $60, and $80, respectively. The production processing time for each model and the total labor available (in terms of the number of hours) for each process can be summarized as follows: ) Suppose Apple makes three different models of tablets: standard, professional, Standard (# hrs) Professional (# hrs) Deluxe (# hrs) | labor available (# hrs) Wiring Assembly Decoration 12 2 1 1 3 16 (a) Formulate a linear program that will maximize the total revenue. Clearly write down the decision variables, the objective, and the constraints. ( (b) Convert the linear program into the standard form. I Page 7 - ... ... (c) Solve the standard form linear program in (b) by the simplex algorithm. Show your step-by-step work.

4. ( and deluxe. The estimated unit price on the standard, professional and deluxe model is $40, $60, and $80, respectively. The production processing time for each model and the total labor available (in terms of the number of hours) for each process can be summarized as follows: ) Suppose Apple makes three different models of tablets: standard, professional, Standard (# hrs) Professional (# hrs) Deluxe (# hrs) | labor available (# hrs) Wiring Assembly Decoration 12 2 1 1 3 16 (a) Formulate a linear program that will maximize the total revenue. Clearly write down the decision variables, the objective, and the constraints. ( (b) Convert the linear program into the standard form. I Page 7 - ... ... (c) Solve the standard form linear program in (b) by the simplex algorithm. Show your step-by-step work.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter8: Evolutionary Solver: An Alternative Optimization Procedure
Section: Chapter Questions
Problem 33P
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Please show all your work. Please answer all if you can. Please answer all parts if you can please. Thank you
(d) How much should I be willing to pay for an extra hour of labor for wiring? (e) Dr. Song is willing to do 100 hours of wiring for $300 to supplement to his poor salary. Should Apple consider this offer from Dr. Song for an additional 100 hours of wiring? Why? ( (f) Apple is thinking of investing in a new product, tablet SE, which requires 1 hour of wiring, 4 hours of assembly, and 2 hours of decoration. Suppose that tablet SE can sell for $40 per unit. Will producing tablet SE increase Apple's total profit? Justify your answer. ( (g) Suppose that there are only 10 hours of labor for wiring available instead of 12. Com- pute a bound on the new optimal objective value z*. (Your answer should have a form like the following: 2* ~ XXX, where should be one of <, 2, and =, and XXX should be a number.) (h) What is the range of values for the price of the deluxe model so that the optimal solution does not change? (
Transcribed Image Text:(d) How much should I be willing to pay for an extra hour of labor for wiring? (e) Dr. Song is willing to do 100 hours of wiring for $300 to supplement to his poor salary. Should Apple consider this offer from Dr. Song for an additional 100 hours of wiring? Why? ( (f) Apple is thinking of investing in a new product, tablet SE, which requires 1 hour of wiring, 4 hours of assembly, and 2 hours of decoration. Suppose that tablet SE can sell for $40 per unit. Will producing tablet SE increase Apple's total profit? Justify your answer. ( (g) Suppose that there are only 10 hours of labor for wiring available instead of 12. Com- pute a bound on the new optimal objective value z*. (Your answer should have a form like the following: 2* ~ XXX, where should be one of <, 2, and =, and XXX should be a number.) (h) What is the range of values for the price of the deluxe model so that the optimal solution does not change? (
-) Suppose Apple makes three different models of tablets: standard, professional, 4. ( and deluxe. The estimated unit price on the standard, professional and deluxe model is $40, $60, and $80, respectively. The production processing time for each model and the total labor available (in terms of the number of hours) for each process can be summarized as follows: Standard (# hrs) Professional (# hrs) Deluxe (# hrs) labor available (# hrs) Wiring Assembly Decoration 2 2 12 2 3 9 1 3 16 (a) Formulate a linear program that will maximize t the decision variables, the objective, and the constraints. ( total revenue. Clearly write down (b) Convert the linear program into the standard form. Page 7 ------... (c) Solve the standard form linear program in (b) by the simplex algorithm. Show your step-by-step work.
Transcribed Image Text:-) Suppose Apple makes three different models of tablets: standard, professional, 4. ( and deluxe. The estimated unit price on the standard, professional and deluxe model is $40, $60, and $80, respectively. The production processing time for each model and the total labor available (in terms of the number of hours) for each process can be summarized as follows: Standard (# hrs) Professional (# hrs) Deluxe (# hrs) labor available (# hrs) Wiring Assembly Decoration 2 2 12 2 3 9 1 3 16 (a) Formulate a linear program that will maximize t the decision variables, the objective, and the constraints. ( total revenue. Clearly write down (b) Convert the linear program into the standard form. Page 7 ------... (c) Solve the standard form linear program in (b) by the simplex algorithm. Show your step-by-step work.
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
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