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.
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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?
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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
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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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