5 W Problem 2 I'm tired of being a professor. My latest scheme to get rich quickly is to produce a variety of cookies for consumption 5. My business plan calls for the production of three types of cookies - Primal Biscotti, Dual Shortbread, and Simplex Cracker. I know that each box of Primal Biscotti produced will yield $60 profit, each box of Dual Shortbread yields $40 profit, and each box of Simplex Cracker produced gives $80 profit. In order to produce cookies, three raw materials are required: Sugar, Flour, and Butter. I have a limited supply of each of these materials: Materials Amount (lbs) Sugar Flour Butter Cookie Primal Biscotti In order to produce a box, each type of the cookies requires a certain amount of each of the three raw materials: Dual Shortbread 2 12 2 9 Sugar Flour Butter Simplex Cracker 2 16 3 1 2 3 (a) Formulate a linear program that will maximize the net profit. Clearly write down the decision variables, the objective, and the constraints. (b) Convert the linear program into the standard form. (c) Solve the standard form linear program in (b) by the simplex algorithm. Show your step-by- step work.
5 W Problem 2 I'm tired of being a professor. My latest scheme to get rich quickly is to produce a variety of cookies for consumption 5. My business plan calls for the production of three types of cookies - Primal Biscotti, Dual Shortbread, and Simplex Cracker. I know that each box of Primal Biscotti produced will yield $60 profit, each box of Dual Shortbread yields $40 profit, and each box of Simplex Cracker produced gives $80 profit. In order to produce cookies, three raw materials are required: Sugar, Flour, and Butter. I have a limited supply of each of these materials: Materials Amount (lbs) Sugar Flour Butter Cookie Primal Biscotti In order to produce a box, each type of the cookies requires a certain amount of each of the three raw materials: Dual Shortbread 2 12 2 9 Sugar Flour Butter Simplex Cracker 2 16 3 1 2 3 (a) Formulate a linear program that will maximize the net profit. Clearly write down the decision variables, the objective, and the constraints. (b) Convert the linear program into the standard form. (c) Solve the standard form linear program in (b) by the simplex algorithm. Show your step-by- step work.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Problem 2 I'm tired of being a professor. My latest scheme to get rich quickly is to produce a
variety of cookies for consumption
5. My business plan
calls for the production of three types of cookies - Primal Biscotti, Dual Shortbread, and Simplex
Cracker. I know that each box of Primal Biscotti produced will yield $60 profit, each box of Dual
Shortbread yields $40 profit, and each box of Simplex Cracker produced gives $80 profit. In order
to produce cookies, three raw materials are required: Sugar, Flour, and Butter. I have a limited
supply of each of these materials:
Materials Amount (lbs)
Sugar
Flour
Butter
Cookie
Primal Biscotti
In order to produce a box, each type of the cookies requires a certain amount of each of the
three raw materials:
Dual Shortbread
2
12
2
9
Sugar Flour Butter
Simplex Cracker 2
16
3
1
2
3
(a) Formulate a linear program that will maximize the net profit. Clearly write down the decision
variables, the objective, and the constraints.
(b) Convert the linear program into the standard form.
(c) Solve the standard form linear program in (b) by the simplex algorithm. Show your step-by-
step work.
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