Cost, Revenue, Profit A company that manufactures pet toys calculates that its costs and revenue can be modeled by the equations
C = 75,000 + 1.05x and R = 500x-x^2/25
where x is the number of toys produced in 1 week. If
production in one particular week is 5000 toys and is increasing at a rate of 250 toys per week, find:
(a) the rate at which the cost is changing.
(b) the rate at which revenue is changing.
(c) the rate at which profit is changing.