Question 902359
A merchant plans to sell two models of compact disc players at costs of $250 and $400. 
The $250 models (x) yields a profit of $45, and the $400 model(y) yields a profit of $50. 
The merchant estimates that the total monthly demand will not exceed 250 units. The merchant does not want to invest more than $70,000 in inventory for these products. Find the number of units of each model that should be stocked in order to maximize profit.
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How do I make this "The $250 models yields a profit of $45, and the $400 model yields a profit of $50" into an equation? 
Objective function:: Profit =  45x + 50y
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 So far I have the constraints
 Cost = 250x+400y <= 70,000
 x+y<=250
 x=>0
 y=>0 
 Please show all your work
Solve constraints for "y" and graph them::
y <= (-5/8)x + 175
y <= -x + 250
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Find the intersection of these two constraints::
(-5/8)x+175 = -x+250
(3/8)x = 75
x = 75/(3/8) = 200
Then y = -200+250 = 50
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Comment:: Evaluate the objective function with each of
the coordinate pairs of the corners of the inclosed area.
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Choose the (x,y) values that maximize the Profit.
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Cheers,
Stan H.
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y