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.

Answer 1

Answer:

8,567

Step-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/2a

From the equation, a = 0.7 and b = -462

x = -(-462)/2(0.7)

x = 462/1.4

x = 330

To 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) = 8,567

Hence the minimum unit cost is 8,567