# chapter 5.1 - antidifferentials#41 - marginal cost of a certain commodity is C'(x) = 6x2 -2x + 5, where x is the level of production. If it costs \$500 to produce one unit, what is the total cost of producing 5 units?

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chapter 5.1 - antidifferentials

#41 - marginal cost of a certain commodity is C'(x) = 6x-2x + 5, where x is the level of production. If it costs \$500 to produce one unit, what is the total cost of producing 5 units?

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Step 1

WE know that  marginal cost s the first derivative of cost function , so cost function can be obtained by integrating  marginal cost function

It is given when x=1,  C(x)=\$500, by using this condition we get constant of integration.

Step 2

Then we substitute x=5 in C(x)  to get the...

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MathCalculus