Asked by Jess
Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are given by
C = 70,000 + 20x
R = 300x - (x^2 / 20)
P = R - C
where production output in 1 week is x calculators. If production is increasing at a rate of 600 calculators per week when production output is 5,000 calculators. Find the rate of increase (decrease) in cost, revenue, and profit.
C = 70,000 + 20x
R = 300x - (x^2 / 20)
P = R - C
where production output in 1 week is x calculators. If production is increasing at a rate of 600 calculators per week when production output is 5,000 calculators. Find the rate of increase (decrease) in cost, revenue, and profit.
Answers
Answered by
Steve
just plug and chug:
dC/dt = 20 dx/dt = 20*600
dR/dt = 300 dx/dt - x/10 dx/dt = (300-500)(600)
dP/dt = dR/dt - dC/dt
dC/dt = 20 dx/dt = 20*600
dR/dt = 300 dx/dt - x/10 dx/dt = (300-500)(600)
dP/dt = dR/dt - dC/dt
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