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

#1**+2 **

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

CPhill
Sep 11, 2018