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. 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. I got the equation P(t)= 1000+∫0 to 5t MC(s)ds...is that right? It also asks for the derivative for P(t), and what does it represent?

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