In a grocery store, shelf space is limited and must be used effectively to increase profit. Two cereal items, FL and KC, compete for total shelf space of 60 square feet. A box of FL occupies 0.2 ft2 and a box of KC needs 0.4 ft2. The maximum daily demands of FL and KC are 200 and 120 boxes, respectively. A box of FL nets PhP 10 in profit and a box of KC PhP 13.50. The owner of the grocery thinks that because the unit profit of KC is 35% higher than that of FL, KC should also be allocated 35% more space than FL, which amounts to allocating about 57% to KC and 43% to FL. What do you think?   questions: -Find the feasible region -Find the corner points -Find the optimal value

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 76P
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In a grocery store, shelf space is limited and must be used effectively to increase profit. Two cereal items, FL and KC, compete for total shelf space of 60 square feet. A box of FL occupies 0.2 ft2 and a box of KC needs 0.4 ft2. The maximum daily demands of FL and KC are 200 and 120 boxes, respectively. A box of FL nets PhP 10 in profit and a box of KC PhP 13.50. The owner of the grocery thinks that because the unit profit of KC is 35% higher than that of FL, KC should also be allocated 35% more space than FL, which amounts to allocating about 57% to KC and 43% to FL. What do you think?

 

questions:

-Find the feasible region

-Find the corner points

-Find the optimal value

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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,