The Cost in Dollars to Produce Q Bottles of a Prescription

Essay

The cost in dollars to produce q bottles of a prescription skin treatment is given by the function $C(q)=0.08 q^{2}+75 q+900$
.The manufacturing process is difficult and costly when large quantities are produced.The marginal cost of producing one additional bottle when q bottles have been produced is the derivative $\frac{d C}{d q}$
.
a)Find the marginal cost function.
b)Compute C(50)and explain what the number means in terms of cost and production.
c)Compute C'(50)and explain what the number means in terms of cost and production.