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Can anyone help me with this?

The marginal cost for items in dollars is given by
C''(x) = 2x + 30. If the cost of producing 2 items is $220, determine the cost function.
What is the cost function? C(x)= _________________

1 answer

I think you mean C'(x) = 2x+30
so, C(x) = x^2 + 30x + k

since C(2) = 220,

220 = 4+60+k
k = 156

so, C(x) = x^2 + 30x + 156
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