MULTIVARIABLE CALC!!! HELP PLEASE!!!?

Posted on 2016-03-03 18:51:00 in Math by MESSY

Can someone show me how to do this and what I should be getting? I really need help on this! D: 

Suppose f(x,y) = y² + 2x² - xy + 14x is a function that models the time (in minutes) it takes a tree to harvest a field that is X meters wide and y meters long. 

a.) If you need x+y ≤ 100 and x ≥ 50, y ≥ 20, draw the region R in the x, y plane that is this restricted domain: 

b.) From the previous problem, list any critical points that are on the interior (if any): ___________ 

c.) find all remaining critical points from the constraints. 

d.) Find the absolute max and minimum amount of time that it takes to harvest a field with these constraints.

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