A manufacturer of a popular digital camera wholesales the camera to retail outlets throughout the United States.

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A manufacturer of a popular digital camera wholesales the camera to retail outlets throughout the United States. Using statistical methods, the financial department in the company produced the price–demand data in Table 4, where p is the wholesale price per camera at which x million cameras are sold. Notice that as the price goes down, the number sold goes up.

Table 4 Price-Demand x (millions) 2 in 00 5 8 12 p($) 87 68 53 37

Using special analytical techniques (regression analysis), an analyst obtained the following price–demand function to model the Table 4 data:

p(x) = 94.8 5x 1 x 15 (4)

(A) Plot the data in Table 4. Then sketch a graph of the price–demand function in the same coordinate system.

(B) What is the company’s revenue function for this camera, and what is its domain?

(C) Complete Table 5, computing revenues to the nearest million dollars.

(D) Plot the data in Table 5. Then sketch a graph of the revenue function using these points.

(E) Graph the revenue function on a graphing calculator.

Table 5 Revenue x (millions) 1 3 6 9 12 15 R(x) (million $) 90

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Finite Mathematics For Business Economics Life Sciences And Social Sciences

ISBN: 9780134862620

14th Edition

Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker

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