!math (2)

The demand function for a certain brand of CD is given by
p = −0.01x^2 − 0.2x + 10
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 $2/disc. (Round your answer to two decimal places.)

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  1. 2 = −0.01x^2 − 0.2x + 10

    200 = -x^2 -20x + 100
    x^2 +20x -1000+ 200 = 0
    x^2 + 20x -800 =0
    (x -20) (x +40) =0
    x = 20 using
    x = -40 not feasible
    ʃ (−0.01x^2 − 0.1x + 10)dx on [0,60] - 20*2

    -1x^3/300 -1x^2/10 +10x
    -8000/3-400/10+200-40 = 93.33

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