1.66 points TanFin10 3.2.004. 0 Used Formulate but do not solve the following ex

Question

1.66 points TanFin10 3.2.004. 0 Used Formulate but do not solve the following exercise as a linear programming problem Kane Manufacturing has a division that produces two models of fireplace grates, x units of model A and y units model B. To produce each model A requires 3 ib of cast Iron and 8 min of labor. To produce each model B grate requires 5 lb of cast iron and 3 min of labor. The profit for each model A grate is $2.50, and the pront for each model B grate ls $2.00. 1300 lb of cast iron and 1500 min of labor are available for the production of grates per day. Because of a backlog of orders on model A grates, the manager of Kane Manufacturing has 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 P in doilars? MaximizeP subject to the constraints cast iron labor model A

Explanation / Answer

Hi,
Given, iron for A- 3lb, time - 8 min
iron for B- 5lb, time- 3 min
given profit for A- 2.5, B- 2.00
therefore total profit is P= 2.5A+2B // this equation we have to maximize,
subject to
3A+5B<=1300 // for cast iron
8A+3B<=1500 //labour time
also given backlog of a
A>=150
Thumbs up if this was helpful, otherwise let me know in comments

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