SOLUTION: Laura owns and operates Aunt Linda's Pecan pies. She has learned that her profits, p(x), from the sale of x cases of pies ,are given by p(x)=150x-x^2. a, The company will "break-e

Question 961922: Laura owns and operates Aunt Linda's Pecan pies. She has learned that her profits, p(x), from the sale of x cases of pies ,are given by p(x)=150x-x^2.
a, The company will "break-even" when the profit is zero. How many cases of pies should Laura sell in order to break-even? (solve for x when p(x)=0).
b, how many cases of pies should she sell in order to maximize her profit?
c, what is the maximum profit?
Answer by steffy67248(1) (Show Source): You can put this solution on YOUR website!
A)150
B)-x^2-150x....Put this into the formula (-b/2a)....so it'll become (-150/2(-1))...you get 75
C) Plug in what you got for part "B" into the equation.....so it'll be
150(75)-(75)^2...which is equal to 5625

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