Kane Manufacturing has a division that produces x model A grates and y model B grates. 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 Ib of cast iron and 3 min of labor. The profit for each model A grate $2.50, and the profit for each model B grate is $3.50. Available for grate production each day are 1000 Ib of cast iron and 20 labor-hours. Because of a backlog of orders for model B grates, Kane's manager has decided to produce at least 180 model B grates per day. How man grates of each model should Kane produce to maximize its profits? (x, y) = What is the optimal profit? %24

Kane Manufacturing has a division that produces x model A grates and y model B grates. 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 Ib of cast iron and 3 min of labor. The profit for each model A grate $2.50, and the profit for each model B grate is $3.50. Available for grate production each day are 1000 Ib of cast iron and 20 labor-hours. Because of a backlog of orders for model B grates, Kane's manager has decided to produce at least 180 model B grates per day. How man grates of each model should Kane produce to maximize its profits? (x, y) = What is the optimal profit? %24

Name: Kane Manufacturing has a division that produces x model A grates and
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Description: Kane Manufacturing has a division that produces x model A grates and y model B grates. 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 Ib of cast iron and 3 min of labor. The prof

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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Question

Kane Manufacturing has a division that produces x model A grates and y model B grates. 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 Ib of cast iron and 3 min of labor. The profit for each model A grate is
$2.50, and the profit for each model B grate is $3.50. Available for grate production each day are 1000 lb of cast iron and 20 labor-hours. Because of a backlog of orders for model B grates, Kane's manager has decided to produce at least 180 model B grates per day. How many
grates of each model should Kane produce to maximize its profits?
(х, у)
What is the optimal profit?
$

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