= −0.01x^2 − 0.1x + 14
x^2 + 10x -1400+ 800 = 0
x = -30
x = 20
-0.01(20)^2 -.1(20) + 14
= 8
−0.01x^2 − 0.1x + 14 on [0,20] -8(20)
-0.01x^3/3 -0.1x^2/2 + 14x on [0,20] -160
-80/3 -20 + 280-160
= 73.33
The demand function for a certain brand of CD is given by
p = −0.01x^2 − 0.1x + 14
where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Determine the consumers' surplus if the market price is set at $8/disc. (Round your answer to two decimal places.)
1 answer