Suppose that for a company manufacturing claculators, the cost, revenue %26amp; profit equations are given by C=90000+30x R=300x- (x²/30) %26amp; P=R-C where the production output in 1 week is x calculators. If production is increasing at a rate of 500 calculators per week, when production output is 6000 calculators, we have to try to find the rate of the cost, revenue and profit.
We have to find the rate of increase (decrease) in A)cost B)revenue C)profit?
To find rates of change you need to take the derivative with respect to x.
dC/dx = 30*dx = 30*500 = 15,000
dR/dx = 300dx - (2/30)xdx
= 300*500 - (2/30)*6000*500
= 150,000 - 400*500 = 150,000 - 200,000 = -50,000
dP/dx = dR/dx - dC/dx = -50,000 -15,000 = -65,000
house plants
Subscribe to:
Post Comments (Atom)
No comments:
Post a Comment