College Mathematics for Trades and Technologies (10th Edition) (What's New in Trade Math)
10th Edition
ISBN: 9780134690339
Author: Cheryl Cleaves, Margie Hobbs
Publisher: PEARSON
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Chapter 6.4, Problem 1LC
To determine
To evaluate: The expression
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Students have asked these similar questions
You manage a chemical company with 2 warehouses. The following quantities of
Important Chemical A have arrived from an international supplier at 3 different
ports:
Chemical Available (L)
Port 1
Port 2
Port 3
400
110
100
The following amounts of Important Chemical A are required at your warehouses:
Warehouse 1
Warehouse 2
Chemical Required (L)
380
230
The cost in £ to ship 1L of chemical from each port to each warehouse is as follows:
Warehouse 1 Warehouse 2
Port 1
£10
£45
Port 2
£20
£28
Port 3
£13
£11
(a) You want to know how to send these shipments as cheaply as possible. For-
mulate this as a linear program (you do not need to formulate it in standard
inequality form) indicating what each variable represents.
a) Suppose that we are carrying out the 1-phase simplex algorithm on a linear program in
standard inequality form (with 3 variables and 4 constraints) and suppose that we have
reached a point where we have obtained the following tableau. Apply one more pivot
operation, indicating the highlighted row and column and the row operations you carry
out. What can you conclude from your updated tableau?
x1 12 23
81
82
83
S4
$1
-20
1 1
0
0
0
3
82
3 0
-2
0
1
2
0
6
12
1
1
-3
0
0
1
0
2
84
-3 0
2
0
0
-1 1 4
2
-2
0 11
0
0
-4
0
-8
b) Solve the following linear program using the 2-phase simplex algorithm. You should give
the initial tableau and each further tableau produced during the execution of the
algorithm. If the program has an optimal solution, give this solution and state its
objective value. If it does not have an optimal solution, say why.
maximize 21 - - 2x2 + x3 - 4x4
subject to 2x1+x22x3x4≥ 1,
5x1+x2-x3-4 -1,
2x1+x2-x3-342,
1, 2, 3, 4 ≥0.
Suppose we have a linear program in standard equation form
maximize c'x
subject to Ax=b,
x≥ 0.
and suppose u, v, and w are all optimal solutions to this linear program.
(a) Prove that zu+v+w is an optimal solution.
(b) If you try to adapt your proof from part (a) to prove that that u+v+w
is an optimal solution, say exactly which part(s) of the proof go wrong.
(c) If you try to adapt your proof from part (a) to prove that u+v-w is an
optimal solution, say exactly which part(s) of the proof go wrong.
Chapter 6 Solutions
College Mathematics for Trades and Technologies (10th Edition) (What's New in Trade Math)
Ch. 6.1 - What is 32% of 136?
Ch. 6.1 - Prob. 2LCCh. 6.1 - Prob. 1ECh. 6.1 - Prob. 2ECh. 6.1 - Prob. 3ECh. 6.1 - Prob. 4ECh. 6.1 - Prob. 5ECh. 6.1 - Prob. 6ECh. 6.1 - Use Fig. 6–6 to answer Exercises 7–10. Round to...Ch. 6.1 - Use Fig. 6–6 to answer Exercises 7–10. Round to...
Ch. 6.1 - Use Fig. 6–6 to answer Exercises 7–10. Round to...Ch. 6.1 - Use Fig. 6–6 to answer Exercises 7–10. Round to...Ch. 6.1 - Prob. 11ECh. 6.1 - Prob. 12ECh. 6.1 - Use Fig. 6–8 to answer Exercises...Ch. 6.1 - Prob. 14ECh. 6.1 - Prob. 15ECh. 6.1 - Prob. 16ECh. 6.1 - Prob. 17ECh. 6.1 - Prob. 18ECh. 6.1 - Prob. 19ECh. 6.1 - Prob. 20ECh. 6.1 - Use Figure 6–10 to answer Exercises...Ch. 6.1 - Use Figure 6–10 to answer Exercises 21–24.
22. In...Ch. 6.1 - Use Figure 6–10 to answer Exercises 21–24.
23. By...Ch. 6.1 - Use Figure 6–10 to answer Exercises...Ch. 6.1 - Prob. 25ECh. 6.1 - Prob. 26ECh. 6.1 - Prob. 27ECh. 6.1 - Prob. 28ECh. 6.1 - Prob. 29ECh. 6.1 - Prob. 30ECh. 6.1 - Prob. 31ECh. 6.1 - Prob. 32ECh. 6.1 - Prob. 33ECh. 6.1 - Prob. 34ECh. 6.1 - Prob. 35ECh. 6.1 - Prob. 36ECh. 6.1 - Prob. 37ECh. 6.1 - Prob. 38ECh. 6.1 - Prob. 39ECh. 6.1 - Prob. 40ECh. 6.1 - Prob. 41ECh. 6.1 - Prob. 42ECh. 6.2 - Find the average of 29, 19, 28, and 20.
Ch. 6.2 - Prob. 2LCCh. 6.2 - Prob. 1ECh. 6.2 - Prob. 2ECh. 6.2 - Prob. 3ECh. 6.2 - Prob. 4ECh. 6.2 - Prob. 5ECh. 6.2 - Prob. 6ECh. 6.2 - Prob. 7ECh. 6.2 - Find the mean of the given values. Round to...Ch. 6.2 - Find the mean of the given values. Round to...Ch. 6.2 - Find the mean of the given values. Round to...Ch. 6.2 - Find the mean of the given values. Round to...Ch. 6.2 - Find the mean of the given values. Round to...Ch. 6.2 - Find the mean of the given values. Round to...Ch. 6.2 - Find the mean of the given values. Round to...Ch. 6.2 - A baseball player batted 276 home runs over a...Ch. 6.2 - Noel Womack scored 87, 96, 86, 92, and 93 in...Ch. 6.2 - AUTO An automobile used 32 gal of regular gasoline...Ch. 6.2 - AUTO A pickup truck used 25 gal of regular...Ch. 6.2 - CON U.S. cement export data for the last 10 years...Ch. 6.2 - CON World cement production data for the last 20...Ch. 6.2 - Based on a 5-point system (A = 4, B = 3, C = 2, D...Ch. 6.2 - Prob. 22ECh. 6.2 - Prob. 23ECh. 6.2 - Prob. 24ECh. 6.2 - Prob. 25ECh. 6.2 - Prob. 26ECh. 6.2 - Prob. 27ECh. 6.2 - Prob. 28ECh. 6.2 - Prob. 29ECh. 6.2 - BUS The following hourly pay rates are used at a...Ch. 6.2 - CON Find the median number of tons of concrete...Ch. 6.2 - Prob. 32ECh. 6.2 - Prob. 33ECh. 6.2 - Prob. 34ECh. 6.2 - Prob. 35ECh. 6.2 - Prob. 36ECh. 6.2 - Find the mode for each data set.
$56, $67, $32,...Ch. 6.2 - Find the mode for each data set.
$32, $87, $67,...Ch. 6.2 - BUS These weekend work shifts are in effect at a...Ch. 6.2 - Prob. 40ECh. 6.2 - Prob. 41ECh. 6.2 - Prob. 42ECh. 6.2 - Prob. 43ECh. 6.2 - Use Table 6–5 to answer these questions. The...Ch. 6.2 - Use Table 6–5 to answer these questions. The...Ch. 6.2 - Use Table 6–5 to answer these questions. The...Ch. 6.2 - Use Table 6–5 to answer these questions. The...Ch. 6.2 - Use Table 6–5 to answer these questions. The...Ch. 6.2 - Use Table 6–5 to answer these questions. The...Ch. 6.2 - Use Table 6–5 to answer these questions. The...Ch. 6.2 - Use Table 6–5 to answer these questions. The...Ch. 6.2 - Prob. 52ECh. 6.2 - Use the given hourly pay rates (rounded to the...Ch. 6.2 - Prob. 54ECh. 6.2 - Prob. 55ECh. 6.2 - Prob. 56ECh. 6.2 - Use the given 40 test scores of two physics...Ch. 6.2 - Use the given 40 test scores of two physics...Ch. 6.2 - Use the given 40 test scores of two physics...Ch. 6.2 - Use the given 40 test scores of two physics...Ch. 6.2 - Use the given 40 test scores of two physics...Ch. 6.2 - Use the given 40 test scores of two physics...Ch. 6.2 - Use the given 40 test scores of two physics...Ch. 6.2 - Use the given 40 test scores of two physics...Ch. 6.2 - Prob. 65ECh. 6.2 - Prob. 66ECh. 6.2 - Prob. 67ECh. 6.2 - Prob. 68ECh. 6.2 - Prob. 69ECh. 6.2 - Prob. 70ECh. 6.2 - Find the grouped mean for the data in Table 6–7....Ch. 6.2 - Prob. 72ECh. 6.3 - Prob. 1LCCh. 6.3 - Prob. 2LCCh. 6.3 - Prob. 1ECh. 6.3 - Prob. 2ECh. 6.3 - Prob. 3ECh. 6.3 - Prob. 4ECh. 6.3 - Prob. 5ECh. 6.3 - Prob. 6ECh. 6.3 - Find the range for each data set.
23°F, 37°F,...Ch. 6.3 - AG/H Find the range for cherry production in...Ch. 6.3 - Use Table 6–8 to answer Exercises...Ch. 6.3 - Use Table 6–8 to answer Exercises...Ch. 6.3 - Prob. 11ECh. 6.3 - Prob. 12ECh. 6.3 - Prob. 13ECh. 6.3 - Prob. 14ECh. 6.3 - Find the midrange for cherry production in states...Ch. 6.3 - Prob. 16ECh. 6.3 - Prob. 17ECh. 6.3 - Prob. 18ECh. 6.3 - Prob. 19ECh. 6.3 - Prob. 20ECh. 6.3 - Find the quartiles for the set of total blood...Ch. 6.3 - Find the inner-quartile range for the data in...Ch. 6.3 - Find the inner-quartile range for the data in...Ch. 6.3 - Find the following percentiles for the scores in...Ch. 6.3 - Find the following percentiles for scores in...Ch. 6.3 - Find the standard deviation for each data set....Ch. 6.3 - Find the standard deviation for each data set....Ch. 6.3 - Prob. 28ECh. 6.3 - Prob. 29ECh. 6.3 - Prob. 30ECh. 6.3 - Prob. 31ECh. 6.3 - Prob. 32ECh. 6.3 - Prob. 33ECh. 6.3 - Use Table 6–8 to answer Exercises...Ch. 6.3 - HLTH/N The population mean length of a hospital...Ch. 6.3 - HLTH/N Research has documented that the mean...Ch. 6.3 - HLTH/N Pediatricians work an average of 50 h per...Ch. 6.3 - HLTH/N In a sample of 80 pediatricians, how many...Ch. 6.3 - HLTH/N In a sample of 200 surgery patients, how...Ch. 6.4 - Evaluate 26.
Ch. 6.4 - Prob. 2LCCh. 6.4 - Prob. 1ECh. 6.4 - Prob. 2ECh. 6.4 - Prob. 3ECh. 6.4 - Prob. 4ECh. 6.4 - Prob. 5ECh. 6.4 - Prob. 6ECh. 6.4 - Prob. 7ECh. 6.4 - Prob. 8ECh. 6.4 - Prob. 9ECh. 6.4 - Prob. 10ECh. 6.4 - Prob. 11ECh. 6.4 - Prob. 12ECh. 6.4 - Prob. 13ECh. 6.4 - Prob. 14ECh. 6.4 - Prob. 15ECh. 6.4 - Prob. 16ECh. 6.4 - Prob. 17ECh. 6.4 - Prob. 18ECh. 6.4 - Prob. 19ECh. 6 - Prob. 1RECh. 6 - Prob. 2RECh. 6 - Prob. 3RECh. 6 - Prob. 4RECh. 6 - Prob. 5RECh. 6 - Prob. 6RECh. 6 - Prob. 7RECh. 6 - Prob. 8RECh. 6 - Prob. 9RECh. 6 - Prob. 10RECh. 6 - Prob. 11RECh. 6 - Prob. 12RECh. 6 - Prob. 13RECh. 6 - Prob. 14RECh. 6 - Prob. 15RECh. 6 - Prob. 16RECh. 6 - Prob. 17RECh. 6 - Prob. 18RECh. 6 - Prob. 19RECh. 6 - Prob. 20RECh. 6 - Prob. 21RECh. 6 - Prob. 22RECh. 6 - Prob. 23RECh. 6 - Prob. 24RECh. 6 - Prob. 25RECh. 6 - Prob. 26RECh. 6 - Prob. 27RECh. 6 - Prob. 28RECh. 6 - Prob. 29RECh. 6 - Prob. 30RECh. 6 - Prob. 31RECh. 6 - Prob. 32RECh. 6 - Prob. 33RECh. 6 - Prob. 34RECh. 6 - Prob. 35RECh. 6 - Prob. 36RECh. 6 - Prob. 37RECh. 6 - Prob. 38RECh. 6 - Prob. 39RECh. 6 - Prob. 40RECh. 6 - Prob. 41RECh. 6 - Prob. 42RECh. 6 - Prob. 43RECh. 6 - Prob. 44RECh. 6 - Prob. 45RECh. 6 - Prob. 46RECh. 6 - Prob. 47RECh. 6 - Prob. 48RECh. 6 - Prob. 49RECh. 6 - Prob. 50RECh. 6 - Prob. 51RECh. 6 - Prob. 52RECh. 6 - Prob. 53RECh. 6 - Prob. 54RECh. 6 - Prob. 55RECh. 6 - Prob. 56RECh. 6 - Prob. 57RECh. 6 - Prob. 58RECh. 6 - Prob. 59RECh. 6 - Prob. 60RECh. 6 - Prob. 61RECh. 6 - Prob. 62RECh. 6 - Prob. 63RECh. 6 - Prob. 64RECh. 6 - Prob. 65RECh. 6 - Prob. 66RECh. 6 - Prob. 67RECh. 6 - Prob. 68RECh. 6 - Prob. 69RECh. 6 - Prob. 70RECh. 6 - Prob. 71RECh. 6 - Prob. 72RECh. 6 - Prob. 73RECh. 6 - Prob. 74RECh. 6 - Prob. 75RECh. 6 - Prob. 76RECh. 6 - Prob. 77RECh. 6 - Prob. 78RECh. 6 - Prob. 79RECh. 6 - Prob. 80RECh. 6 - Prob. 81RECh. 6 - Prob. 82RECh. 6 - Prob. 1CACh. 6 - Prob. 2CACh. 6 - Prob. 3CACh. 6 - Prob. 4CACh. 6 - Prob. 5CACh. 6 - Prob. 6CACh. 6 - Prob. 7CACh. 6 - Prob. 8CACh. 6 - Prob. 9CACh. 6 - Prob. 10CACh. 6 - Prob. 1PTCh. 6 - Prob. 2PTCh. 6 - Prob. 3PTCh. 6 - Prob. 4PTCh. 6 - Prob. 5PTCh. 6 - Prob. 6PTCh. 6 - Prob. 7PTCh. 6 - Prob. 8PTCh. 6 - Prob. 9PTCh. 6 - Prob. 10PTCh. 6 - Prob. 11PTCh. 6 - Prob. 12PTCh. 6 - Prob. 13PTCh. 6 - Prob. 14PTCh. 6 - Prob. 15PTCh. 6 - Prob. 16PTCh. 6 - Prob. 17PTCh. 6 - Prob. 18PTCh. 6 - Prob. 19PTCh. 6 - Prob. 20PTCh. 6 - Prob. 21PTCh. 6 - Prob. 22PTCh. 6 - Prob. 23PTCh. 6 - Prob. 24PTCh. 6 - Prob. 25PTCh. 6 - Prob. 26PTCh. 6 - Prob. 27PTCh. 6 - Prob. 28PTCh. 6 - Prob. 29PTCh. 6 - Millie has in her makeup bag three green eye...Ch. 6 - Prob. 31PTCh. 6 - Prob. 32PTCh. 6 - Prob. 33PTCh. 6 - Prob. 34PTCh. 6 - Prob. 35PTCh. 6 - Prob. 36PTCh. 6 - Prob. 1CPTCh. 6 - Prob. 2CPTCh. 6 - Prob. 3CPTCh. 6 - Change to the indicated unit.
0.159 dkm = ________...Ch. 6 - Prob. 5CPTCh. 6 - Prob. 6CPTCh. 6 - Prob. 7CPTCh. 6 - Prob. 8CPTCh. 6 - Prob. 9CPTCh. 6 - Prob. 10CPTCh. 6 - Prob. 11CPTCh. 6 - Prob. 12CPTCh. 6 - Prob. 13CPTCh. 6 - Prob. 14CPTCh. 6 - Prob. 15CPTCh. 6 - Prob. 16CPTCh. 6 - Prob. 17CPTCh. 6 - Prob. 18CPTCh. 6 - Prob. 19CPTCh. 6 - Prob. 20CPTCh. 6 - Prob. 21CPTCh. 6 - Prob. 22CPTCh. 6 - Prob. 23CPTCh. 6 - Prob. 24CPTCh. 6 - Prob. 25CPTCh. 6 - Prob. 26CPTCh. 6 - Prob. 27CPTCh. 6 - Prob. 28CPTCh. 6 - Prob. 29CPTCh. 6 - Prob. 30CPTCh. 6 - Prob. 31CPTCh. 6 - Prob. 32CPTCh. 6 - Prob. 33CPTCh. 6 - Prob. 34CPTCh. 6 - Prob. 35CPTCh. 6 - Prob. 36CPTCh. 6 - Prob. 37CPTCh. 6 - Prob. 38CPTCh. 6 - Prob. 39CPTCh. 6 - Complete the data table to make a relative...
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