
EBK CONTEMPORARY MATHEMATICS FOR BUSINE
8th Edition
ISBN: 9781305888715
Author: Brechner
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Chapter 6.I, Problem 5RE
To determine
To calculate: The decimal value of
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The Martin-Beck Company operates a plant in St. Louis with an annual capacity of 30,000 units. Product is shipped to regional distribution centers located in Boston, Atlanta, and Houston. Because of an anticipated increase in demand, Martin-Beck plans to increase capacity by constructing a new plant in one or more of the following cities: Detroit, Toledo, Denver, or Kansas. The following is a linear program used to
determine which cities Martin-Beck should construct a plant in.
Let
y₁ = 1 if a plant is constructed in Detroit; 0 if not
y₂ = 1 if a plant is constructed in Toledo; 0 if not
y₂ = 1 if a plant is constructed in Denver; 0 if not
y = 1 if a plant is constructed in Kansas City; 0 if not.
The variables representing the amount shipped from each plant site to each distribution center are defined just as for a transportation problem.
*,, = the units shipped in thousands from plant i to distribution center j
i = 1 (Detroit), 2 (Toledo), 3 (Denver), 4 (Kansas City), 5 (St.Louis) and…
Consider the following mixed-integer linear program.
Max
3x1
+
4x2
s.t.
4x1
+
7x2
≤
28
8x1
+
5x2
≤
40
x1, x2 ≥ and x1 integer
(a)
Graph the constraints for this problem. Indicate on your graph all feasible mixed-integer solutions.
On the coordinate plane the horizontal axis is labeled x1 and the vertical axis is labeled x2. A region bounded by a series of connected line segments, and several horizontal lines are on the graph.
The series of line segments connect the approximate points (0, 4), (3.889, 1.778), and (5, 0).
The region is above the horizontal axis, to the right of the vertical axis, and below the line segments.
At each integer value between 0 and 4 on the vertical axis, a horizontal line extends out from the vertical axis to the series of connect line segments.
On the coordinate plane the horizontal axis is labeled x1 and the vertical axis is labeled x2. A region bounded by a series of connected line segments, and several…
Consider the nonlinear optimization model stated below.
Min
s.t.
2x²-18x + 2XY + y² - 14Y + 53
x + 4Y ≤ 8
(a) Find the minimum solution to this problem.
|at (X, Y) =
(b) If the right-hand side of the constraint is increased from 8 to 9, how much do you expect the objective function to change?
Based on the dual value on the constraint X + 4Y ≤ 8, we expect the optimal objective function value to decrease by
(c) Resolve the problem with a new right-hand side of the constraint of 9. How does the actual change compare with your estimate?
If we resolve the problem with a new right-hand-side of 9 the new optimal objective function value is|
, so the actual change is a decrease of
rather than what we expected in part (b).
Chapter 6 Solutions
EBK CONTEMPORARY MATHEMATICS FOR BUSINE
Ch. 6.I - Convert the following percents to decimals. a. 27%...Ch. 6.I - Convert the following decimals or whole numbers to...Ch. 6.I - Prob. 3TIECh. 6.I - Prob. 4TIECh. 6.I - Convert the following percents to decimals.
1.
Ch. 6.I - Prob. 2RECh. 6.I - Prob. 3RECh. 6.I - Prob. 4RECh. 6.I - Prob. 5RECh. 6.I - Prob. 6RE
Ch. 6.I - Prob. 7RECh. 6.I - Prob. 8RECh. 6.I - Prob. 9RECh. 6.I - Convert the following percents to decimals.
10....Ch. 6.I - Prob. 11RECh. 6.I - Prob. 12RECh. 6.I - Prob. 13RECh. 6.I - Prob. 14RECh. 6.I - Prob. 15RECh. 6.I - Prob. 16RECh. 6.I - Prob. 17RECh. 6.I - Convert the following decimals or whole numbers to...Ch. 6.I - Prob. 19RECh. 6.I - Prob. 20RECh. 6.I - Prob. 21RECh. 6.I - Prob. 22RECh. 6.I - Prob. 23RECh. 6.I - Prob. 24RECh. 6.I - Prob. 25RECh. 6.I - Prob. 26RECh. 6.I - Prob. 27RECh. 6.I - Prob. 28RECh. 6.I - Prob. 29RECh. 6.I - Prob. 30RECh. 6.I - Prob. 31RECh. 6.I - Prob. 32RECh. 6.I - Prob. 33RECh. 6.I - Prob. 34RECh. 6.I - Prob. 35RECh. 6.I - Prob. 36RECh. 6.I - Prob. 37RECh. 6.I - Prob. 38RECh. 6.I - Prob. 39RECh. 6.I - Prob. 40RECh. 6.I - Prob. 41RECh. 6.I - Prob. 42RECh. 6.I - Prob. 43RECh. 6.I - Prob. 44RECh. 6.I - Prob. 45RECh. 6.I - 46. You have been asked to make a presentation...Ch. 6.II - Solve the following for the portion. What is the...Ch. 6.II - Prob. 6TIECh. 6.II - Solve the following for the portion.
a. Premier...Ch. 6.II - Prob. 8TIECh. 6.II - Prob. 9TIECh. 6.II - Prob. 10TIECh. 6.II - Prob. 11TIECh. 6.II - Prob. 12TIECh. 6.II - Solve the following for the base. Round to...Ch. 6.II - Prob. 1RECh. 6.II - Prob. 2RECh. 6.II - Prob. 3RECh. 6.II - Prob. 4RECh. 6.II - Solve the following for the portion. Round to...Ch. 6.II - Prob. 6RECh. 6.II - Prob. 7RECh. 6.II - Solve the following for the portion. Round to...Ch. 6.II - Prob. 9RECh. 6.II - Prob. 10RECh. 6.II - Prob. 11RECh. 6.II - Prob. 12RECh. 6.II - Prob. 13RECh. 6.II - 14. What is the rate if the base is 288 and the...Ch. 6.II - Solve the following for the rate. Round to the...Ch. 6.II - Solve the following for the rate. Round to the...Ch. 6.II - Prob. 17RECh. 6.II - Solve the following for the rate. Round to the...Ch. 6.II - Prob. 19RECh. 6.II - Solve the following for the rate. Round to the...Ch. 6.II - Prob. 21RECh. 6.II - Prob. 22RECh. 6.II - Prob. 23RECh. 6.II - Solve the following for the base. Round to...Ch. 6.II - Prob. 25RECh. 6.II - Solve the following for the base. Round to...Ch. 6.II - Prob. 27RECh. 6.II - Prob. 28RECh. 6.II - Prob. 29RECh. 6.II - Solve the following for the base. Round to...Ch. 6.II - Solve the following word problems for the portion,...Ch. 6.II - Solve the following word problems for the portion,...Ch. 6.II - Prob. 33RECh. 6.II - Solve the following word problems for the portion,...Ch. 6.II - Solve the following word problems for the portion,...Ch. 6.II - Prob. 36RECh. 6.II - Prob. 37RECh. 6.II - Solve the following word problems for the portion,...Ch. 6.II - Solve the following word problems for the portion,...Ch. 6.II - Solve the following word problems for the portion,...Ch. 6.II - Solve the following word problems for the portion,...Ch. 6.II - Solve the following word problems for the portion,...Ch. 6.II - Prob. 43RECh. 6.II - Solve the following word problems for the portion,...Ch. 6.II - Use the pie chart "Century Mutual Fund -...Ch. 6.II - Use the pie chart "Century Mutual Fund -...Ch. 6.II - Prob. 47RECh. 6.II - Use the pie chart "Century Mutual Fund -...Ch. 6.II - 49. You are the catering manager for the Imperial...Ch. 6.III - Solve the following problem for the rate of...Ch. 6.III - Solve the following problem for the rate of...Ch. 6.III - Solve the following problem for the rate of...Ch. 6.III - Prob. 17TIECh. 6.III - Prob. 18TIECh. 6.III - Solve the following business situation for the new...Ch. 6.III - Solve the following business situation for the...Ch. 6.III - Solve the following business situation for the...Ch. 6.III - Prior to an election, a political research firm...Ch. 6.III - Solve the following increase or decrease problems...Ch. 6.III - Prob. 2RECh. 6.III - Solve the following increase or decrease problems...Ch. 6.III - Solve the following increase or decrease problems...Ch. 6.III - Prob. 5RECh. 6.III - Prob. 6RECh. 6.III - Prob. 7RECh. 6.III - Solve the following increase or decrease problems...Ch. 6.III - Prob. 9RECh. 6.III - Prob. 10RECh. 6.III - Over a two-month period, the number of weekly...Ch. 6.III - Sunshine Honda sold 112 cars this month. If that...Ch. 6.III - 13. At a Sports King store, 850 tennis racquets...Ch. 6.III - At a Safeway Supermarket, the price of yellow...Ch. 6.III - 15. According to the American Association of...Ch. 6.III - 16. Housing prices in Foster County have increased...Ch. 6.III - At Campers Paradise, sales have increased 15%,...Ch. 6.III - 18. According to the U.S. Census Bureau, in 1950,...Ch. 6.III - 19. After a vigorous promotion campaign. Crunchy...Ch. 6.III - 20. The chart “Chip Rivalry" illustrates the...Ch. 6.III - 21. Economic reports indicate that during a recent...Ch. 6 - 1. A percent is a way of expressing a part of).a...Ch. 6 - Prob. 2CRCh. 6 - 3. Percent means “parts per ______.” The percent...Ch. 6 - Prob. 4CRCh. 6 - Prob. 5CRCh. 6 - Prob. 6CRCh. 6 - Prob. 7CRCh. 6 - Prob. 8CRCh. 6 - Prob. 9CRCh. 6 - In the percentage formula, the___ is the variable...Ch. 6 - Prob. 11CRCh. 6 - Prob. 12CRCh. 6 - Prob. 13CRCh. 6 - Prob. 14CRCh. 6 - Prob. 1ATCh. 6 - Prob. 2ATCh. 6 - Prob. 3ATCh. 6 - Prob. 4ATCh. 6 - Prob. 5ATCh. 6 - Prob. 6ATCh. 6 - Prob. 7ATCh. 6 - Prob. 8ATCh. 6 - Prob. 9ATCh. 6 - Prob. 10ATCh. 6 - Prob. 11ATCh. 6 - Prob. 12ATCh. 6 - Prob. 13ATCh. 6 - Prob. 14ATCh. 6 - Prob. 15ATCh. 6 - Prob. 16ATCh. 6 - Prob. 17ATCh. 6 - Prob. 18ATCh. 6 - Prob. 19ATCh. 6 - Prob. 20ATCh. 6 - Prob. 21ATCh. 6 - Prob. 22ATCh. 6 - Prob. 23ATCh. 6 - Prob. 24ATCh. 6 - Solve the following for the portion, rate, or...Ch. 6 - Prob. 26ATCh. 6 - Prob. 27ATCh. 6 - Prob. 28ATCh. 6 - Solve the following for the portion, rate, or...Ch. 6 - Solve the following for the portion, rate, or...Ch. 6 - Prob. 31ATCh. 6 - Prob. 32ATCh. 6 - Solve the following word problems for the unknown....Ch. 6 - Solve the following word problems for the unknown....Ch. 6 - Solve the following word problems for the unknown....Ch. 6 - Solve the following word problems for the unknown....Ch. 6 - Solve the following word problems for the unknown....Ch. 6 - Solve the following word problems for the unknown....Ch. 6 - Solve the following word problems for the unknown....Ch. 6 - Solve the following word problems for the unknown....Ch. 6 - Solve the following word problems for the unknown....Ch. 6 - Prob. 42ATCh. 6 - Solve the following word problems for the unknown....Ch. 6 - Solve the following word problems for the unknown....Ch. 6 - 45. An insurance adjuster for UPS found that 12%...Ch. 6 - 46. Morley Fast, a contractor, built a warehouse...Ch. 6 - Use the chart The Rise of E-Books in Education for...Ch. 6 - Use the chart “The Rise of E-Books in Education”...Ch. 6 - Use the chart “The Rise of E-Books in Education”...
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