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Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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Question

A national chain of clothing goods stores recently sent shipments to the following stores. The number of items shipped to each store and their total
wholesale cost is shown in the table below. Find the wholesale price of one of each item.
Jeans
Jackets Sweaters Shirts
Total Cost
2000
2000
2400
4300
1800
1500
2300 4500
5000
2000
1300
6500
6000
1800
800
7000
Store A
Store B
Store C
Store D
The cost of a pair of jeans is $
The cost of a jacket is $
The cost of a sweater is $
The cost of a shirt is $
$397,775
355,475
493,275
500,450

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The table below contains the total cost ($) for four tickets to a basketball game purchased on the secondary market, two beers, two soft drinks, two hot dogs, and one parking space at each arena during a recent season. 215.02 224.58 224.43 215.97 203.04 287.43 261.25 214.76 395.96 317.13 301.05 370.49 310.61 319.41 319.33 420.73 420.32 481.66 484.87 430.76 411.28 543.08 566.08 535.56 532.38 619.08 727.78 766.28 791.92 897.06 a. Organize these costs as an ordered array. b. Construct a frequency distribution and a percentage distribution for these costs. c. Around what values, if any, are at least 75% of the costs of attending the game concentrated? Explain. At least 75% of the costs of attending a game are concentrated around the class groupings "$200 but less than $400" and "$500 but less than $700." B. At least 75% of…
The table below contains the total cost ($) for four tickets to a basketball game purchased on the secondary market, two beers, two soft drinks, two hot dogs, and one parking space at each arena during a recent season. 290.24 201.69 234.33 282.03 263.89 273.47 264.47 240.17 369.58 308.31 382.64 350.91 330.95 336.79 380.73 448.45 408.98 420.79 417.76 443.36 487.68 508.87 569.96 539.05 544.23 676.06 727.83 768.33 709.92 882.69 a. Organize these costs as an ordered array. b. Construct a frequency distribution and a percentage distribution for these costs. c. Around what values, if any, are at least 75% of the costs of attending the game concentrated? Explain.
Terra Mesa Manufacturing uses a job order cost system to account for its production of specialty patio furniture. At the beginning of June, Terra Mesa had one job in Work in Process, job A75. Management has chosen direct labor cost as its activity base. The costs incurred to date on job A75 are as follows: Direct materials $8260 Direct labor 10500 Overhead 13125 During June, Terra Mesa added the following costs for direct materials and direct labor to job A75: Direct materials $2630 Direct labor 4620 Job A75 was competed on June 30. What is the cost of job A75? $26010 $39135 $44910 $42831
b. Five Sales Executives have been told by their company Heavy Machines Limited (HML) that eachsales executive, will be relocated to work at one of five branches of their company, in theCaribbean. The cost to relocate a sales executive at each of the five branches is shown in Table 8below: SalesExecutiveBranchJamaica Antigua/Barbuda Trinidad&TobagoBarbados St. LuciaZenk Murt $2,550 $2,300 $ 2,700 $2,300 $2,400Rangle Tang $2,400 $2,700 $2,800 $2,600 $2,400Atil Heglam $2,600 $2,400 $2,700 $2,500 $2,400Justop Brelim $2,400 $2,500 $3,000 $2,400 $2,500Mesk Lathim $2,400 $2,300 $2,500 $2,800 $2,700 The costs shown in Table 8, are in Eastern Caribbean (EC) dollars. (i) Determine the optimal relocation of the five Sales Executives. Compute and state the total minimum cost.

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