Question

1. The estimated monthly sales of Mona Lisa paint-by-number sets is given by the formula : q = 96e^{−3p2 + p},

where q is the demand in monthly sales and p is the retail price in hundreds of yen.

(a) Determine the price elasticity of demand E when the retail price is set at ¥500.

(b.) At what price will revenue be a maximum?

(c.) Approximately how many paint-by-number sets will be sold per month at the price in part (b)? (Round your answer to the nearest integer.)

2.

The estimated monthly sales of Mona Lisa paint-by-number sets is given by the formula: q = 100e^{p − 3p2/2},

where q is the demand in monthly sales and pis the retail price in yen.

(a) Determine the price elasticity of demand E when the retail price is set at 4 yen.

(b) At what price will revenue be a maximum? (Round your answer to two decimal places.)

3. Find the derivative of the function.

s(x) =

e^{3x − 1}

x³ − 1

4.

WANEAC6 4.5.066.0/30 Submissions Used

My Notes

Find the derivative of the function

g(x) =

2

e^x + e^−x

Answer 1