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09.01.2020 •
Advanced Placement (AP)
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.
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Ответ:
P(x) = 1000 + ∫ MC (s) ds from 0 to 5t
evaluating the integral
P(x) = 1000 + M(5t) C(5t) - M(0) C(0)
where the value of the functions
M and C should be defined to solve the equation explicitly in terms of t
Ответ:
=3ab+99x
Step-by-step explanation: