Suppose that a farm manager seeks to maximize its total profit function a s given by the  equation, profit =80x-2x^2-xy-3y^2+100y. let x=cabbages and y= onions. but the manager  faces a constrain that the sum of the cabbages and onions must be equal to 12. a. Calculate the level of output at which the farm maximizes profit b. Calculate the farms profit. c. Comment on the farms performance.

Microeconomics
13th Edition
ISBN:9781337617406
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter9: Perfect Competition
Section9.2: Perfect Competition In The Short Run
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Suppose that a farm manager seeks to maximize its total profit function a s given by the 
equation, profit =80x-2x^2-xy-3y^2+100y. let x=cabbages and y= onions. but the manager 
faces a constrain that the sum of the cabbages and onions must be equal to 12.
a. Calculate the level of output at which the farm maximizes profit
b. Calculate the farms profit.
c. Comment on the farms performance. 

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