Math  /  Calculus

QuestionCalculate the producers' surplus for the supply equation at the indicated unit price pˉ\bar{p}. HINT [See Example 2.] (Round your answer to the nearest cent.) p=110+e0.01q;pˉ=150$10842.89×\begin{array}{l} \quad p=110+e^{0.01 q} ; \bar{p}=150 \\ \$ 10842.89 \times \end{array}

Studdy Solution
Calculate the producers' surplus:
Producers' Surplus = Total Revenue - Integral of the supply curve
Total Revenue = pˉ×q=150×368.89 \bar{p} \times q = 150 \times 368.89
=55333.5 = 55333.5
Producers' Surplus:
=55333.544477.9 = 55333.5 - 44477.9
=10855.6 = 10855.6
Round to the nearest cent:
10855.60 \boxed{10855.60}

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