Math Calculus

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The number of portable CD players you are prepared to supply to a retail outlet every week is given by the formula:
q = 0.1p2 + 2p
where p is the price it offers you. The retail outlet is currently offering you $50 per CD player. If the price it offers decreases at a rate of $1 per week, how will this affect the number you supply?

  • Math Calculus -

    q = 0.1p^2 + 2p
    dq/dt = (0.2p + 2) dp/dt
    at p=50,
    dq/dp = (10+2)(-1) = -12

    so the number supplied is decreasing by 12 per week.

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