Question 1021070
cost of producing x cars per week is C(x)=1000+400x-0.1x^2
what is the marginal cost at x=300?
<pre>Marginal cost: 1<sup>st</sup> derivative of function, so {{{C(x) = 1000 + 400x - 0.1x^2}}} becomes: {{{M(x) = 400 - .2x}}}
Marginal cost: {{{M(300) = 400 - .2(300)}}} -------> M(300) = 400 - 60, or {{{highlight_green(matrix(1,2, "M(300) =", "$340"))}}}