TR= 100q- 3q2
MR= dTR/dq = 100-6q
TC= 200+10q
MC= dTC/dq = 10
At profit maximizing output level : MR=MC.
100-6q = 10
6q = 90
q =90/6
q = 15 units (Profit maximizing output level)
Profit = TR-TC
= [(100)(15)-(3)(15)2] - [(200+10(15)]
= (825- 350) = $475
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