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The function P(x)=−1.5x^2+ 900x−4500 gives the profit when x units of a certain product are sold....

The function P(x)=−1.5x^2+ 900x−4500 gives the profit when x units of a certain product are sold. Find
a) the profit when 75 units are sold  dollars
b) the average profit per unit when 75 units are sold dollars per unit
c) the rate that profit is changing when exactly 75 units are sold dollars per unit
d) the rate that profit changes on average when the number of units sold rises from 75 to 150. dollars per unit
e) The number of units sold when profit stops increasing and starts decreasing. (Round to the nearest whole number if necessary.)
    units

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