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A company makes a profit of $65 per software program and $40 per video game,  The company can produce at most 250 software programs and at most 325 video games per week,  Total production cannot exceed 450 items per week  How many items of each kind should be produced each week in order to maximize the profit?

 

Use linear programming to solve.  SHOW ALL WORK.  Please include a graph.  You can graph in Desmos and insert or attach the screen shot.

 

Thank you so much

KennedyPape  Sep 11, 2018
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Let x  be the number  of software programs produced  and y be the number of video games produced

 

And we have these  inequalities

 

x <=250

y <=325

And 

x + y < = 450

 

And we wish to maximinze this objective proift function, P :

 

P  = 65x  + 40y

 

Here's  the graph : https://www.desmos.com/calculator/k7ivq8jnv2

 

The max profit will occur at the corner point  ( 250, 200)

 

So...produce 250 software programs and 200 video games 

 

 

cool cool cool

CPhill  Sep 11, 2018
edited by CPhill  Sep 11, 2018

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