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larisa86
2 months ago
6

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.
Advanced Placement (AP)
1 answer:
horsena [243]2 months ago
7 0
Based on the provided values, the equation can be expressed as
P(x) = 1000 + <span>∫ MC (s) ds from 0 to 5t
after calculating the integral
P(x) = 1000 + M(5t) C(5t) - M(0) C(0)
where the definitions of the functions
M and C will be necessary to explicitly solve for the equation in terms of t</span>
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