Engineering Economy (17th Edition)
17th Edition
ISBN: 9780134870069
Author: William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher: PEARSON
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Chapter 6, Problem 73CS
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If company A manufactures t-shirts and sells them to retailers for US$9.80 each.It has fixed costs of $2625 related to the production of the t-shirts, and the production cost perunit is US$2.30. Company B also manufactures t-shirts and selll them directly to consumers.
The demand for its product is p = 15 − x/125 , its production cost per unit is US$5.00
i (i) Derive the total revenue function,R(x) for company B.(ii) Derive the profit function,Π(x) for company B.(ii) How many t-shirts must company B sell to in order to break-even.(iv) How many t-shirts must company B sell to maximise its profit.
Farmers in an arid region of Mexico draw their irrigation water from an underground aquifer. The aquifer has a natural
maximum recharge rate of 340,000 gallons per day (i.e., 340,000 gallons per day filter into the underground reservoir from
natural resources.) The total product schedule for well operations looks like this:
Number of
Wells
Operating
10
20
30
40
50
60
70
80
06
Total Water
Output
(Thousand
Gal./Day)
100
200
280
340
380
400
400
380
340
The cost of operating a well is 600 pesos per day. The value of water to the farmer is 0.1 pesos per gallon.
If company A manufactures t-shirts and sells them to retailers for US$9.80 each. It has fixed costs of $2625 related to the production of the t-shirts, and the production cost per unit is US$2.30. Company B also manufactures t-shirts and selll them directly to consumers. The demand for its product is p = 15 - (x /25) , its production cost per unit is US$5.00 and its fixed cost are the same as for company A.
Revenue function for company A = R(x) = 9.8x
Cost function for company A = C(x) = 2625+2.3x
Profit function for company A = π(x) = 7.5x -2625
(iv) Using a spreadsheet, create a table for showing x, R(x)?, C(x) for company A
in the domain x = 50, 100, 150, 200, 250, 300, 350, 400, 450.
(v) Graph the functions from (iv) above on the same axes.
(vi) From your graph, determine the break-even level of output for company A
Chapter 6 Solutions
Engineering Economy (17th Edition)
Ch. 6 - An oil refinery finds that it is necessary to...Ch. 6 - The Consolidated Oil Company must install...Ch. 6 - One of the mutually exclusive alternatives below...Ch. 6 - Three mutually exclusive design alternatives are...Ch. 6 - Prob. 5PCh. 6 - Prob. 6PCh. 6 - Fiesta Foundry is considering a new furnace that...Ch. 6 - Prob. 8PCh. 6 - DuPont claims that its synthetic composites will...Ch. 6 - Prob. 10P
Ch. 6 - Which alternative in the table below should be...Ch. 6 - Prob. 12PCh. 6 - The alternatives for an engineering project to...Ch. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - Refer to the situation in Problem 6-16. Most...Ch. 6 - An old, heavily used warehouse currently has an...Ch. 6 - Prob. 19PCh. 6 - Two electric motors (A and B) are being considered...Ch. 6 - Two mutually exclusive design alternatives are...Ch. 6 - Pamela recently moved to Celebration, Florida, an...Ch. 6 - Environmentally conscious companies are looking...Ch. 6 - Prob. 24PCh. 6 - Two 100 horsepower motors are being considered for...Ch. 6 - In the Rawhide Company (a leather products...Ch. 6 - Refer to Problem 6-2. Solve this problem using the...Ch. 6 - Prob. 28PCh. 6 - Prob. 29PCh. 6 - Two electric motors are being considered to drive...Ch. 6 - Prob. 31PCh. 6 - Prob. 32PCh. 6 - Prob. 33PCh. 6 - Potable water is in short supply in many...Ch. 6 - Three mutually exclusive investment alternatives...Ch. 6 - Prob. 36PCh. 6 - A companys MARR is 10% per year. Two mutually...Ch. 6 - Prob. 38PCh. 6 - a. Compare the probable part cost from Machine A...Ch. 6 - A one-mile section of a roadway in Florida has...Ch. 6 - Two mutually exclusive alternatives are being...Ch. 6 - Prob. 42PCh. 6 - IBM is considering an environmentally conscious...Ch. 6 - Three mutually exclusive earth-moving pieces of...Ch. 6 - A piece of production equipment is to be replaced...Ch. 6 - Prob. 46PCh. 6 - Prob. 47PCh. 6 - Prob. 48PCh. 6 - Prob. 49PCh. 6 - Prob. 50PCh. 6 - Prob. 51PCh. 6 - Prob. 52PCh. 6 - Prob. 53PCh. 6 - Use the imputed market value technique to...Ch. 6 - Prob. 55PCh. 6 - Prob. 56PCh. 6 - Prob. 57PCh. 6 - Prob. 58PCh. 6 - Prob. 59PCh. 6 - Prob. 60PCh. 6 - Prob. 61PCh. 6 - Prob. 62PCh. 6 - Prob. 63PCh. 6 - Prob. 64PCh. 6 - Prob. 65PCh. 6 - Prob. 66PCh. 6 - Three models of baseball bats will be manufactured...Ch. 6 - Refer to Example 6-3. Re-evaluate the recommended...Ch. 6 - Prob. 69SECh. 6 - Prob. 70SECh. 6 - Prob. 71SECh. 6 - Prob. 72CSCh. 6 - Prob. 73CSCh. 6 - Prob. 74CSCh. 6 - Prob. 75FECh. 6 - Prob. 76FECh. 6 - Prob. 77FECh. 6 - Complete the following analysis of cost...Ch. 6 - Prob. 79FECh. 6 - For the following table, assume a MARR of 10% per...Ch. 6 - Prob. 81FECh. 6 - Problems 6-82 through 6-85. (6.4) Table P6-82 Data...Ch. 6 - Prob. 83FECh. 6 - Problems 6-82 through 6-85. (6.4) Table P6-82 Data...Ch. 6 - Problems 6-82 through 6-85. (6.4) Table P6-82 Data...Ch. 6 - Consider the mutually exclusive alternatives given...Ch. 6 - Prob. 87FE
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