A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will result in a profit of $1, and each Type B souvenir will result in a profit of $1.20. To manufacture a Type A souvenir requires 2 minutes on Machine I and 1 minute on Machine II. A Type B souvenir requires 1 minute on Machine I and 3 minutes on Machine II. There are 3 hours available on Machine I and 5 hours available on Machine II. (a) The optimal solution holds if the contribution to the profit of a Type B souvenir lies between $ x and $ x . (Enter your answers from smallest to largest.) (b) Find the contribution to the profit of a Type A souvenir (with the contribution to the profit of a Type B souvenir held at $1.20), given that the optimal profit of the company will be $160.80. (c) What will be the optimal profit of the company if the contribution to the profit of a Type B souvenir is $2.50 (with the contribution to the profit of a Type A souvenir held at $1.00)?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 54P
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A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will result in a profit of $1, and each Type B souvenir will result in a profit of $1.20. To manufacture a
Type A souvenir requires 2 minutes on Machine I and 1 minute on Machine II. A Type B souvenir requires 1 minute on Machine I and
minutes on Machine II. There are 3 hours available on Machine I
and 5 hours available on Machine II.
(a) The optimal solution holds if the contribution to the profit of a Type B souvenir lies between $
X and $
X : (Enter your answers from smallest to largest.)
(b) Find the contribution to the profit of a Type A souvenir (with the contribution to the profit of a Type B souvenir held at $1.20), given that the optimal profit of the company will be $160.80.
$
(c) What will be the optimal profit of the company if the contribution to the profit of a Type B souvenir is $2.50 (with the contribution to the profit of a Type A souvenir held at $1.00)?
$
Transcribed Image Text:A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will result in a profit of $1, and each Type B souvenir will result in a profit of $1.20. To manufacture a Type A souvenir requires 2 minutes on Machine I and 1 minute on Machine II. A Type B souvenir requires 1 minute on Machine I and minutes on Machine II. There are 3 hours available on Machine I and 5 hours available on Machine II. (a) The optimal solution holds if the contribution to the profit of a Type B souvenir lies between $ X and $ X : (Enter your answers from smallest to largest.) (b) Find the contribution to the profit of a Type A souvenir (with the contribution to the profit of a Type B souvenir held at $1.20), given that the optimal profit of the company will be $160.80. $ (c) What will be the optimal profit of the company if the contribution to the profit of a Type B souvenir is $2.50 (with the contribution to the profit of a Type A souvenir held at $1.00)? $
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ISBN:
9781337406659
Author:
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Publisher:
Cengage,