Ifpis price in dollars andqis quantity, demand for a product is given by

q=6000e^-0.03p.

Find the revenue and the derivative of revenue with respect to price at a price of$30. Interpret your answers in economic terms.

Round your answers to the nearest integer.

The revenue at a price of$30is_________.

The derivative of revenue with respect to price at a price of$30is__________.

Interpretation of the revenue at price$30:

a.If price is increased by another dollar over $30, revenue will decrease by |R(30)|.

b. If price is increased by another dollar over $30, revenue will increase by |R(30)|.

c. Revenues of |R(30)| can be expected when the selling price is $30.

Interpretation of the derivative of revenue with respect to price at a price of$30:

a.If price is increased by another dollar over $30, revenue will decrease by |R'(30)|.

b. Revenues of |R'(30)| can be expected when the selling price is $30.

c. If price is increased by another dollar over $30, revenue will increase by |R'(30)|.