
Jerry N.
asked 03/10/219.7.11 Find the marginal cost function
Find the marginal cost function.
C(x)=210+3.3x−0.07x
C′(x) = ____________
1 Expert Answer
The way you've written it
C(x) = 210 + 3.3x - 0.07x
which = 210 + 2.6x, combing the last two terms
C'(x) = Marginal Cost = 2.6 which means a flat horizontal MC curve, which isn't realistic, as if there were no diseconomies of scale.
BUT maybe you left out an exponent 2 on the last x term?
then C(x) = 210 +3.3x -0.07x^2 and
C'(x) = 3.3 -0.14x. this means a decreasing MC curve
trinomials tend to have descending or ascending exponents, so the last term was probably quadratic.
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David W.
03/14/21