Question

Suppose that the selling price P of an item for the quantity X sold is given by the function P=-1/3x+44
Express the revenue R as a function of x (R=x*p ) how many items must be sold to Mackenzie the revenue and what is the maximum revenue that can be obtained from this model

Answers

mathhelper
Every business should try very hard to "Mackenzie the revenue" LOL

R = x(-1/3x + 44) = (-1/3)x^2 + 44x

this is a parabola, its max is the R value of its vertex
for the x of the vertex, -44/(-2/3) = 66
so 66 items must be sold to obtain the "MACKENZIE" and that would be
66( (-1/3)(66) + 44) = 1452

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