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If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x)/x. Consider the cost function C(x) given below. C(x) = 2,000 + 170x + 4x3/2 (a) Find the total cost at a production level of 1000 units. (Round your answer to the nearest cent.)

Respuesta :

Answer: $2,98,491.106 ⇒ Total cost of production

Explanation:

Given that,

Total cost of production at x = 1000 units

C(x) = 2000 + 170x + 4[tex]x^{\frac{3}{2} }[/tex]

C(1000) = 2000 + 170(1000) + 4[tex]1000^{\frac{3}{2} }[/tex]

             = 2000 + 170000 + 126491.106

             = $2,98,491.106 ⇒ Total cost of production

So, above is the cost of producing 1000 units.

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