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.

Question

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.

anonymous · Answer

$$P(x)=1000+\int\limits_{0}^{x}MC(s)ds$$

dan815 · Answer

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