1.Suppose the quantityxof Super Titan radial tires made available each week in the marketplace is related to the unit-selling price by the following equation wherexis measured in units of a thousand andpis in dollars.

p-1/2x^2=48

How fast is the weekly supply of Super Titan radial tires being introduced into the marketplace whenx=5,p=60.5, and the price/tire is decreasing at the rate of$5/week? (Round your answer to the nearest whole number.)

?????tires/week

2.Suppose the wholesale price of a certain brand of medium-sized eggsp(in dollars/carton) is related to the weekly supplyx(in thousands of cartons) by the following equation.

625p^2-x^2=100

If23000cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of4/carton/week, at what rate is the supply changing? (Round your answer to the nearest whole number.) (Hint: To find the value ofpwhenx= 23, solve the supply equation forpwhenx= 23.)

?????cartons per week.

3.The demand function for a certain make of ink-jet cartridge is the following wherepis the unit price in dollars andxis the quantity demanded each week, measured in units of a thousand.

p=-0.01x^2-0.1x+6

Compute the elasticity of demand whenx=10. (Round your answer to two decimal places.)