Optimal Profit The costs to a store for two models of Global Positioning System (GPS) receivers are...

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  1. Optimal Profit

The costs to a store for two models ofGlobal Positioning System (GPS) receivers are $80 and $100. The $80model yields a profit of $25 and the $100 model yields a profit of$30.

Market tests and available resourcesdetermined the constraints below.

(a) The merchant estimates that thetotal monthly demand will not exceed 200 units.

(b) The merchant does not want toinvest more than $18,000 in GPS receiver inventory.

What is the optimal inventory levelfor each model? What is the optimal profit?

  1. Optimal Profit

A fruit grower has 150 acres of landfor raising crops A and B. The profit is $185 per acre for crop Aand $245 per acre for crop B.

Research and available resourcesdetermined the constraints below.

(a) It takes 1 day to trim an acre ofcrop A and 2 days to trim an acre of crop B, and there are 240 daysper year available for trimming.

(b) It takes 0.3 day to pick an acreof crop A and 0.1 day to pick an acre of crop B, and there are 30days per year available for picking.

What is the optimal acreage for eachfruit?  What is the optimal profit?

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