NotSoSmart  Oct 12, 2017
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2+0 Answers


These are always a little difficult, NSS....

Note that we make a $22 profit on the Type A printer and a $19 profit on the Type  B printer

And we can order no more than 120 total in one one month

Let x  be the number of Type A printers and y be the number of Type B printers


So.....we have these constraints


22x+ 19y ≥  2400  and

x + y  ≤ 120


And we wish to minimize the cost function given by


237x +  122y


Here's a graph of the constraints : https://www.desmos.com/calculator/qz01ip2whh


Note that the minimum cost occurs at the corner point corner point (40,80)  


And that cost is    237(40) + 122(80)  = $19240


So.....we should order 40 Type A printers and 80 Type B printers



cool cool cool

CPhill  Oct 12, 2017

Here's the second one :


"y can exceed x by no more than 200 units"......this is a fancy way of saying that


y - x  ≤ 200   


and  we know that


x + 2y ≤ 1600


And we wish to maximize this


14x + 22y - 900


Here's a graph of the constraints : https://www.desmos.com/calculator/dgtafe0gd7


Note that the max profit is found at the corner point (400, 600) ....this will always be true.....the max - or min - will always occur at a corner point....!!!!!!



cool cool cool 

CPhill  Oct 12, 2017

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