Monday, March 12, 2012

Linear programming problem?

I need some verification on my answer



A baker wants to make a minimum of 80 gourmet cupcakes and decides to make chocolate and vanilla cupcakes. However to make chocolate cupcakes she needs 2oz of cocoa powder which cost 1$ an oz and can only spend 80$ on powder. She also has a vanilla cupcake oven that can hold a maximum of 90 cupcakes. She can sell chocolate cupcakes for 8$ and vanilla for 6$ how many should she make to maximize revenue.



I got the constraints X+Y =%26gt; 80 , 2x,%26lt;=80 , and y%26lt;=90

with a final maximum of (40,90) 860$



Can anyone else do it to see if i got it right?Linear programming problem?
Hello



area is between

(0, 80), (0, 90) (40, 40), (40, 90)

(40, 90 is maximum revenue, You are right, except, that you should probably subtract the costs for the cocoa from the revenue.

Rev. is then x*8 + y*6 - 2x = 780 as the maximum.



Regards
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