Here is the link to the problem

http://i.imgur.com/3MDmG.jpg

I really appreciate any help on this problem.

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- Dec 8th 2012, 11:06 AMTharplessReally difficult linear optimization problem from my book
Here is the link to the problem

http://i.imgur.com/3MDmG.jpg

I really appreciate any help on this problem. - Dec 8th 2012, 01:03 PMTharplessRe: Really difficult linear optimization problem from my book
Nevermind, I figured it out.

10hrs (max possible) of tutoring at $15/hr = $150

10hrs of delivery at $8/hr = $80

for a total of $230.

I would set up a function to be maximized, and then read through the constraints and list them:

let y= pizza hours

let x = tutor hours

then we want max of 15x + 13y, where x+y <= 20 and x <= 10. (x , y > 0).

Graph the equations, find vertices, plug vertex coordinates in to 15x +13y, find max altered vertex value.

Should leave you with 230$ possible max profit.