The cost of producing x units of a certain commodity is given by p (x) =1000 + ∫ ^x to 0 mc (s)ds, where p is in dollars and m (x) is marginal cost in dollars per unit. b. suppose the production schedule is such that the company produces five units each day. that is, the number of units produced is x= 5t, where t is in days, and t = 0 corresponds to the beginning of production. write an equation for the cost of production p as a function of time t. c. use your equation for p (t) from part b to find dp/dt . be sure to indicate units and describe what dp/dt represents.