Rev/Cost/Profit - Given the revenue and cost functions R=50x-0.4x^2 and C=5x+15 (in dollars), where x is the daily production (and sales). find the following when 40 units are produced daily and the rate of change of production is 10 units per day.
a: the rate change of revenue with respect to time
b: the rate change of cost with respect of time
c: the rate change of profit with respect to time

Question

Rev/Cost/Profit - Given the revenue and cost functions R=50x-0.4x^2 and C=5x+15 (in dollars), where x is the daily production (and sales). find the following when 40 units are produced daily and the rate of change of production is 10 units per day.
a: the rate change of revenue with respect to time
b: the rate change of cost with respect of time
c: the rate change of profit with respect to time