Author Question: A supply function for a certain product is given by,where S(p) is the number of items produced when ... (Read 32 times)

ishan · **on:** Jun 16, 2021

Question 1

Given the total-revenue function
R(x) = 7600x,
and the total-cost function
C(x) = x³ - 2x² + 5x + 100,
if P(x) is the total profit function, find ΔP and P'(x) when x = 50 and Δx = 1.
◦ ΔP = $146; P'(50) = $295
◦ ΔP = $149; P'(50) = $141
◦ ΔP = $146; P'(50) = $290
◦ ΔP = $141; P'(50) = $295

Question 2

A supply function for a certain product is given by

,
where S(p) is the number of items produced when the price is p dollars. Use S'(p) to estimate how many more units a producer will supply when the price changes from

per unit to $14.50 per unit.
◦ 4
◦ 24
◦ 55
◦ 48

morrie123456 · **Reply #1 on:** Jun 16, 2021

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