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Question
A company has determined that marginal cost function for x product of a particular commodity is given by MC = `125 + 10x - x^2/9`. Where C is the cost of producing x units of the commodity. If the fixed cost is ₹ 250 what is the cost of producing 15 units
Solution
MC = `125 + 10x - x^2/9`
Fixed cost k = ₹ 250
C = `int "MC" "d"x - int (125 + 10x - x^2/9) "d"x`
C = `125x + (10x^2)/9 - x^3/(9 xx 3) + "k"`
C = `125x + 5x^2 - x^3/27 + 250`
When x = 15
C = `125(15) + 5(15)^2 - (15)^3/27 + 250`
= 1875 + 1125 – 125 + 250
C = ₹ 3,125
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