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Math Help - revenue function

  1. #1
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    revenue function

    The rate of change of q with respect to time (in days) is dq/dt= 60 . The rate of change of revenue over time, dR/dt, is to be found when q= 480 . Differentiate both sides of the equation R= 120 q- q^2/240 with respect to t to get dR/dt= 120 dq/dt − 1/ 120 q dq/dt.

    Now substitute the known values for q and dq/dt to get dR/dt= ___*___ - 1/ ___ * ___ * ___

    Thus the revenue is increasing at the rate of $_____ per day

    i dont know how to sub in the answers to get the correct answer!
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  2. #2
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    Quote Originally Posted by samtheman17 View Post
    The rate of change of q with respect to time (in days) is dq/dt= 60 . The rate of change of revenue over time, dR/dt, is to be found when q= 480 . Differentiate both sides of the equation R= 120 q- q^2/240 with respect to t to get dR/dt= 120 dq/dt − 1/ 120 q dq/dt.

    Now substitute the known values for q and dq/dt to get dR/dt= ___*___ - 1/ ___ * ___ * ___

    Thus the revenue is increasing at the rate of $_____ per day

    i dont know how to sub in the answers to get the correct answer!
    dR/dt = 120q' - q'*q/120. Plug in q = 480 and q' = 60.
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