Answer: ________

(c) State the y-intercept:

(d) State the real zeros:

10 Which of the following functions is represented by the graph shown below? **Explain **your answer choice. Be sure to take the asymptotes into account in your explanation

13) Company XYZ manufactures and sells widgets.

The cost, in dollars, to produce x widgets is given by C(x) = 2332.80 + 7.80x for x ³ 0, and the price-demand function, in dollars per widget, is p(x) = 24 – 0.018x for 0 £ x £ 1330.

In Quiz 2, problem #10, we saw that the profit function for this scenario is

P(x) = – 0.018×2 + 16.20x – 2332.80.

(a) The profit function is a quadratic function and so 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 widgets which yield that maximum profit:

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

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

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