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Finding optimal production level

Suppose that a firm comes to you with the following
information:

P=1.5

TC=(1/70)q^2-(25/35)q+100

MC=(1/35)q-(25/35)

i.What is the total profit/loss if the firm stays in
business?

ii.What is the total profit/loss if the firm shuts down?

iii.Would you recommend that the firm stay in business or
shutdown? Why?

iv.Please graph (i) including the numbers.

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