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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 :

abidemiokin

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

raphealnwobi

The minimum unit cost for producing each car is $8567

Cost is the amount of money spent in producing a particular number of items.

Let C(x) represent the cost in dollar to produce x number of cars. Given that:

C(x)=0.7x² - 462x + 84797

The minimum cost is at C'(x) = 0. Hence:

C'(x) = 1.4x - 462

1.4x = 462

x = 330

The minimum cost is when 330 cars are produced, hence:

C(330) = 0.7(330)² - 462(330) + 84797 = 8567

The minimum unit cost is $8567

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