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 $2, and the profit for each model B grate is $1.50. 1000 lb of cast iron and 20 labor-hours are available for the production of grates each day. Because of an excess inventory of model B grates, management has decided to limit the production of model B grates to no more than 200grates per day.(a) If the contribution to the profit of a model A grate is changed to $1.25/grate, what will be the optimal profit?x at (x, y) = (20,3× ).The optimal profit is P = $0(b) If the contribution to the profit of a model A grate is changed to $2.25/grate, what will be the optimal profit?The optimal profit is P = $ 20x at (x, y) =× ).6,0

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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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