Question 1152845
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(a)  Let p be the price for one single unit, and let  d(p)  be the number of occupied units as the function of price.


    The condition says that


        d(250) = 0.9*30 = 27  units,   and

        d(p) = 27 - {{{3*((p-250)/40)}}}.        (1)


    Formula (1) is the answer to question (a).



(b) Total revenue is the product of the number occupied units by the price per unit


       R(p) = d(p)*p = [ 27 - {{{3*((p-250)/40))}}} ]*p.    (2)


    Formula (2) is the answer to question (b).


    You can simplify and transform this formula by any of equivalent ways.
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