MATH 107 QUIZ 4 NAME: _______________________________ September-October, 2017 Instructor: INSTRUCTIONS The quiz is worth 100 points. There are 13...

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) = - 0.018x2 + 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.