Because of a backlog of orders for model A grates, Kane's manager had decided to produce at least 150 of these grates a day. Operating under this additional constraint, how many grates of each model should Kane produce to maximize profit?   (x,y)= What is the optimal profit?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 70P
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Kane Manufacturing has a division that produces two models of fireplace grates, x units of model A and y units of model B. To produce each model A grate requires 3 lb of cast iron and 6 min of labor. To produce each model B grate requires 4 lb of cast iron and 3 min of labor. The profit for each model A grate is $4.00, and the profit for each model B grate is $3.50. Also, 1000 lb of cast iron and 20 labor-hours are available for the production of fireplace grates per day.

Because of a backlog of orders for model A grates, Kane's manager had decided to produce at least 150 of these grates a day. Operating under this additional constraint, how many grates of each model should Kane produce to maximize profit?

 

(x,y)=

What is the optimal profit? 

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Hi, the answer is incorreect for the x,y nd optimal profit. Any help appriciated immediately as this is due. Thanks so much

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