Suppose that for a company manufacturing calculators, the cost, and revenue equations are given by
C = 80000 + 20x
R = 400 - (x^2)/40
A) What is the rate of change in cost?
B) What is the rate of change in revenue?
C) What is the rate of change in profit?
Hey are you sure the question is complete? I think there are some parts missing.
To find rates of change you need to take the derivative with respect to x. dC/dx = 20*dx = 20*dx dR/dx = - (1/20)xdx
dP/dx = dR/dx - dC/dx = --0.05xdx-20dx
so sorry...I did forget an important piece...thank you...here is the rest of the information:
where the production output in one week is x calculators. If the production rate is increasing at a rate of 500 calculators when the production output is 6000 calculators, find each of the following:
dC/dx = 20*dx = 20*500=10000dR/dx = - (1/20)xdx = -0.05*500*6000= -150000
dP/dx = dR/dx - dC/dx = -150000-10000=-160000
P.S: Are you sure R = 400 - (x^2)/40? Is the equation correct?
yes i just checked the answers...everything is correct...thank you so much!
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