Question

1. A company has determined that the marginal cost function for a product of a particular commodity is given by MC 125 + 10x - x²/9. Where C cedis is the cost of 9 producing x units of the commodity. If the fixed cost is Ghc 250 what is the cost of producing 15 units. ​

Answer 1

A company has determined that the marginal cost function for a product of a particular commodity is given by MC = 125 + 10x - x²/9. Where C is the cost of 9 producing x units of the commodity. If the fixed cost is 250 then the cost of producing 15 units will be Rs. 3125

Marginal cost functions in Economics. one of the packages of derivatives in a real global state of affairs is within the area of marginal evaluation. The marginal evaluation uses the spinoff to determine the fee at which a particular amount is increasing or reduced.

The marginal cost function is the by-product of the entire cost function, C(x). To find the marginal value, derive the full cost function to find C'(x).

Given, MC = 125 + 10$x$ - $x^{2}$ / 9

Then C = $\int\limits$ (MC)$dx$ + k

C = $\int\limits$ (125 + 10$x$ - $x^{2}$ / 9)$dx$ + k

C = 125$x$ + 5$x^{2}$ - $x^{3}$ / 27 + k

The fixed cost is given as 250. So, k = 250

C =  125$x$ + 5$x^{2}$ - $x^{3}$ / 27 + 250

When $x$ = 15 units

$C = 125(15) + 5(15)^2 - (15)^3/27 +250$

C = 1875 + 1125 - 125 + 250

C = 3125

Thus the cost of producing 15 units is Rs. 3125

Marginal cost represents the incremental fees incurred when generating extra units of an amazing or service. It's calculated by taking the overall trade inside the fee of manufacturing more goods and dividing that by way of the change in the number of products produced.

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