SOLUTION: The total cost of producing a type of car is given by C(x)=23000−30x+0.04x^2, where x is the number of cars produced. How many cars should be produced to incur minimum cost?
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Question 1149669: The total cost of producing a type of car is given by C(x)=23000−30x+0.04x^2, where x is the number of cars produced. How many cars should be produced to incur minimum cost? Answer by ikleyn(52903) (Show Source):
You are given a quadratic function C(x) = 23000 - 30x + 0.04x^2.
Any quadratic function y = ax^2 + bx + c with positive leading coefficient at x^2 has the minimum at the value of
x = .
In your case a= 0.04 and b= 30. Hence, the given quadratic function gets the minimum at
x = = 375.
ANSWER. 375 cars should be produced to get minimum cost.
