The physics club sells e = mc2 t-shirts at the local flea market. unfortunately, the club's previous administration has been losing money for years, so you decide to do an analysis of the sales. a quadratic regression based on old sales data reveals the following demand equation for the t-shirts:

q = −2p2 + 33p (9 ≤ p ≤ 15).
here, p is the price the club charges per t-shirt, and q is the number it can sell each day at the flea market.

(a) obtain a formula for the price elasticity of demand for e = mc2 t-shirts.
e =
1

(b) compute the elasticity of demand if the price is set at $10 per shirt. (round your answer to two decimal places.)
2

interpret the result.
the demand for e = mc2 t-shirts is going (up or down) by about 4% per 1% increase in the price.

(c) how much should the physics club charge for the t-shirts in order to obtain the maximum daily revenue?
$5

what will the revenue be?
$

Atrain traveled for 1.5 hours to the first station, stopped for 30 minutes, then traveled for 4 hours to the final station where it stopped for 1 hour. the total distance traveled is a function of time. which graph most accurately represents this scenario? a graph is shown with the x-axis labeled time (in hours) and the y-axis labeled total distance (in miles). the line begins at the origin and moves upward for 1.5 hours. the line then continues upward at a slow rate until 2 hours. from 2 to 6 hours, the line continues quickly upward. from 6 to 7 hours, it moves downward until it touches the x-axis a graph is shown with the axis labeled time (in hours) and the y axis labeled total distance (in miles). a line is shown beginning at the origin. the line moves upward until 1.5 hours, then is a horizontal line until 2 hours. the line moves quickly upward again until 6 hours, and then is horizontal until 7 hours a graph is shown with the axis labeled time (in hours) and the y-axis labeled total distance (in miles). the line begins at the y-axis where y equals 125. it is horizontal until 1.5 hours, then moves downward until 2 hours where it touches the x-axis. the line moves upward until 6 hours and then moves downward until 7 hours where it touches the x-axis a graph is shown with the axis labeled time (in hours) and the y-axis labeled total distance (in miles). the line begins at y equals 125 and is horizontal for 1.5 hours. the line moves downward until 2 hours, then back up until 5.5 hours. the line is horizontal from 5.5 to 7 hours