the profit obtained by manufacturing and selling x item is given by P (x) = 60x...
the profit obtained by manufacturing and selling x item is given by P (x) = 60x - x ^ 2. Determine the number of units that must be produced and sold in order to maximize profit.
Homework Answers
Given profit function P(x) = 60x - x^2
So to get units of maximum profit, differentiating this function with respect to x
dP(x)/dx = 60 - 2x = 0
So, x = 30 units
So, profit = 60*30 - 30^2 = 900
the number of units that must be produced and sold in order to maximize profit is 30 units
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