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Beths Lawn Mowing Service acts as a monopoly. The prevailing market price equation is given by P = 20 - 0.2q where q represents one

Beth’s Lawn Mowing Service acts as a monopoly.  The prevailing market price equation is given by P = 20 - 0.2q where q represents one acre of lawn. Cost equations are as follows: 

Total Cost = 0.1q2 + 10q + 50

Marginal Cost = 0.2q + 10

a)      How many acres should Beth choose to mow in order to maximize profits?
b)      Calculate Beth’s maximum weekly profits/losses.

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