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A company makes a profit of $50 per software program and $35 per video game. The company can produce at most 200 software programs and at most 300 video games per week. Total production cannot exceed 425 items per week. How many items of each kind should be produced per week in order to maximize the profit?

Use linear programming to solve. Show all your work.

oscar.a1551  Sep 27, 2018
 #1
avatar+89729 
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Let x be the number of  software programs to be produced and y  be the number of  video games to be produced

 

We have this system of constraints

 

x ≤ 200

y≤ 300

x + y ≤ 425

 

And we wish to maximize this objective function

 

50x  + 35y

 

Look at the graph of the constraints, here : https://www.desmos.com/calculator/bbbhypnku7

 

The possible values  of (x , y)  occur at the corner points of the feasible  region , namely at (125, 300)  or ( 200, 225)

 

Plugging these into the objective function, we get

 

50(125) + 35(300)  =   $16,750

50(200) + 35(225)  =  $17,875

 

Then....200 software programs should be produced and  225 video games should be produced

 

 

cool cool cool

CPhill  Sep 27, 2018
edited by CPhill  Sep 27, 2018
 #2
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HI DEADPOOL!!!!1

mccartyaiden06  Sep 28, 2018

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