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The daily production cost, C, of a special edition toy car is given by the function C(t)= 0.2t^2 - 10t + 650, where C(t) is in dollars and t is the number of cars made.

 

A. How many cars must be made to minimize the production cost?

 

B. Using the number of cars from part a), determine the cost

 Jun 7, 2021
 #1
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C(t)= 0.2t^2 - 10t + 650      if graphed, this is a bowl shaped parabola

    the minimum will occur at   t = - b/2a = - (-10)/(2* .2) = 10/ .4 = 25  cars

 

Cost of 25 cars will be  :      C (t) = 0.2 (252) - 10 (25) + 650 = ___________                   you can do the calcs..... cheeky

 Jun 7, 2021

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