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# CoursePack - MAC2233 BUSINESS CALCULUS COURSE PACK...

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MAC2233 – BUSINESS CALCULUS COURSE PACK Professor Siegel – Fall 2011 *** Bring these handouts to class each time!!!***

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Section 1.2 – Applications Example #1: You rent a car at Siegel Rent-A-Car. They require you pay \$30 down and then \$0.40 per mile. Let C be the cost to you and x be the number of miles you drive. a) Find a linear equation in slope-intercept form modeling this situation. ____________________ b) How much will it cost you to drive 50 miles? ____________ c) How many miles can you drive if you only have \$45? ___________ d) What is the x-intercept? ___________ What does it mean? e) What is the C-intercept? ___________ What does it mean? f) Graph the equation on a coordinate plane. Label the intercepts and axes.
Example 2: The Swiss Cheese Parachutes Company produces 15 parachutes a day for a cost of \$900 and 30 harnesses a day at a cost of \$1200. a) Assuming the daily cost and production are linearly related, find the total daily cost C for x parachutes. _________________________ b) Graph the total daily cost for 200 0 x . Label the axes. c) Find and interpret the slope and y-intercept (or C-intercept) of you equation in (a). m = __________ Meaning: C-intercept: ___________ Meaning:

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Section 2.1 – Applications Example #1: (#88 in book) - A company manufactures notebook computers. Its marketing research department, using statistical techniques, collected the data shown in the table below, where p is the wholesale price per computer at which x thousand computers can be sold. Using special analytical techniques (regression analysis), an analyst produced the following price-demand function to model the data: x x p 60 2000 ) ( where 25 1 x . x (thousands) p (in dollars) 1 1,940 8 1,530 16 1,040 21 740 25 500 a) Plot the data from the table. Sketch the price-demand function p(x) on the same axes. Make sure to label the axes accordingly. b) What is the revenue function? What is its domain?
c) Find revenues for each value of x, rounding to the nearest thousand dollars. x (thousands) R (in thousands of dollars) 1 4 8 12 16 20 24 25 d) Plot the data from the table in (c) on the graph above. What can you conclude about the revenue as the company makes more notebook computers? Example 2: (#92 in book) – The financial department for the company in the previous problem established the following cost function for producing and selling x thousand notebook computers: x x C 500 4000 ) ( (cost is in thousands of dollars) a) Write a profit function (using the revenue function from Example 1) for producing and selling x notebook computers and indicate its domain. b) Complete the table below, computing profits to the nearest thousand dollars. Graph the data. x (thousands) P (in thousands of dollars) 1 5 10 15 20 25

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Section 2.2 – Graphs and Transformations : : : 1) Graph 5 | 4 | 2 ) ( x x f Basic function: ____________ Transformations 2) Graph 3 3 1 ) ( 3 x x f Basic function: ____________ Transformations 3) Graph 4 1 2 1 ) ( x x f Basic function: ____________ Transformations
Graphing Piecewise-Defined Functions: Example 1: Example 2 Example 3

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An Application of Piecewise-Defined Functions: #68 in the textbook: The table below shows a recent state income tax schedule for individuals filing a return in Kansas.
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## This note was uploaded on 09/25/2011 for the course MAC 2233 taught by Professor Staff during the Spring '10 term at Broward College.

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CoursePack - MAC2233 BUSINESS CALCULUS COURSE PACK...

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