Suppose that for a company manufacturing calculators, the cost, and revenue equations are given by
C=90000+30x,R=300x−x240,
where the production output in one week is x calculators. If the production output is increasing at a rate of 200 calculators per hour when the production output is 7000 calculators, find each of the following:
Rate of change in cost with respect to time
Rate of change in revenue with respect to time
Rate of change in profit with respect to time

Question

Suppose that for a company manufacturing calculators, the cost, and revenue equations are given by
C=90000+30x,R=300x−x240,
where the production output in one week is x calculators. If the production output is increasing at a rate of 200 calculators per hour when the production output is 7000 calculators, find each of the following:
Rate of change in cost with respect to time 
Rate of change in revenue with respect to time
Rate of change in profit with respect to time