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Optimization – Sharp EL-9900 User Manual

Page 85

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10

Advanced Keyboard/CALCULUS USING THE SHARP EL-9900

Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.

1.

Set the calculator to rectangular graphing by pressing 2ndF SETUP E

(Coord) 1 (Rect). Press 2ndF QUIT to exit the setup menu.

2.

A new product was introduced through a television advertisement appearing

during the Super Bowl. Suppose that the proportion of people that

purchased the product x days after the advertisement appeared is given by

f(x) = . When did maximum sales occur and what proportion of

people purchased the product at that time?

3.

Press Y= CL to clear the Y1 prompt. Press ENTER CL to clear

additional prompts. Enter f(x) in the Y1 location with the keystrokes a/b

5

3 X/

θ/T/n

X/

θ/T/n x

2

+ 1 5 .

4.

Let’s examine the graph for the first 25 days after the advertisement

appeared. Press WINDOW , enter Xmin = 0, Xmax = 25, Xscl = 5, Ymin = 0,

Ymax = 1, Yscl = 1.

5.

Press GRAPH to view the graph.

6.

When did maximum sales occur and what proportion of people

purchased the product at that time? Press 2ndF CALC and

4 (Maximum) to find a maximum sales at x = 3.87 days with a 68%

proportion.

OPTIMIZATION

(5.3x)

(x

2

+ 15)