Answer:
P(Q) = [tex]50Q^{3} +6Q^{2} +5[/tex]
Step-by-step explanation:
Marginal profit, P(Q), equals revenue, R(Q), minus costs, C(Q).
Marginal revenue, R(Q), equals the number of items sold, x, times the price, p, so R(Q) = p·Q.
As for that,
P(Q) = R(Q) - C(Q) = p·Q - C(Q) = ([tex]50Q^{2} +10Q+7[/tex])·Q - ([tex]4Q^{2} +7Q-5[/tex])=[tex]50Q^{3} +6Q^{2} +5[/tex].
https://www.dummies.com/article/business-careers-money/business/economics/how-to-determine-marginal-cost-marginal-revenue-and-marginal-profit-in-economics-192262/