Question

the marginal cost is 4x^3 -80x + 700 pound per unit when x units have be produce the total cost of producing the first is 4 units is 1300 find the total cost function and the total cost of producing the 7 units
dc/dx = 4x^3 - 80x + 700
c = x^4 - 40x^2 + 700x + C
since c(4) = 1300,
256 - 1600 + 2800 + C = 1300
C = -156
so,
c(x) = x^4 - 40x^2 + 700x - 156
Now find c(7)

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