The cost, in dollars, for a company to produce xCxxxpxx

The cost, in dollars, for a company to produce xCxxxpxxx(a) Determine the profit function Px
items is given by () = 26 + 2 for ³ 0, and the price-demand function, in dollars per item, is () = 30 – 2 for 0 £ £ 15.

();

Since it is a quadratic function, its graph is a parabola. Does the parabola open up or down?

__________

(b) Find the vertex of the profit function P(x) using algebra. Show algebraic work.

(c) State the maximum profit and the number of items which yield that maximum profit:

The maximum profit is _______________ when ____________ items are produced and sold.

(d) Determine the price to charge per item in order to maximize profit.

(e) Find and interpret the break-even points. Show algebraic work.

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