A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars made. If x cars are made, then the unit cost is given by the function C(x)=0.7^2- 462 x 84,797 . What is the minimum unit cost? Do not round your answer.

1 answer
Question:

a vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars made. If x cars are made, then the unit cost is given by the function C(x)=0.7^2- 462 x 84,797 . What is the minimum unit cost? Do not round your answer.

Answers

Answer:8,567Step-by-step explanation:Given the cost function expressed as C(x)=0.7x^2- 462 x + 84,797 To get the minimum vaklue of the function, we need to get the value of x first.At minimum value, x = -b/2aFrom the equation, a = 0.7 and b = -462x = -(-462)/2(0.7)x = 462/1.4x = 330To get the minimum cost function, we will substitute x = 330 into the function C(x)C(x)=0.7x^2- 462 x + 84,797 C(330)=0.7(330)^2- 462 (330)+ 84,797 C(330)= 76230- 152460+ 84,797 C(330) = 8,567Hence the minimum unit cost is 8,567

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