Question: A manufacturer’s cost is \(C\left( q \right)=\frac{1}{10}{{q}^{2}}+4q+500\) dollars to produce q units, and can sell q units for \(P\left( q \right)=\frac{1}{7}\left( 35-q \right)\)

(b) Find the marginal cost and the marginal revenue

(c) Use the marginal cost to estimate the cost of the 5^th unit, and the marginal revenue to estimate the revenue of the 5^th unit.

(d) Compute the actual cost and revenue of the 5^th.