
Practical Business Math Procedures
12th Edition
ISBN: 9781259540554
Author: Jeffrey Slater, Sharon Wittry
Publisher: McGraw-Hill Education
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Question
Chapter 12.2, Problem 5AH
To determine
The Present value invested by Paul Palumbo.
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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 12 Solutions
Practical Business Math Procedures
Ch. 12.1 - Complete the following without a table (round each...Ch. 12.1 - Prob. 2PQCh. 12.1 - Prob. 3PQCh. 12.1 - Prob. 4PQCh. 12.1 - Calculate by Table 12.2 what $1,500 compounded...Ch. 12.1 - Prob. 1EPQCh. 12.1 - Prob. 2EPQCh. 12.1 - Lionel Rodgers deposits $7,000 in Victory Bank,...Ch. 12.1 - Find the effective rate (APY) for the year:...Ch. 12.1 - Prob. 5EPQ
Ch. 12.1 - Prob. 1AHCh. 12.1 - Prob. 2AHCh. 12.1 - Prob. 3AHCh. 12.1 - Prob. 4AHCh. 12.1 - Prob. 5AHCh. 12.1 - Prob. 6AHCh. 12.1 - Prob. 7AHCh. 12.1 - Eileen Hogarty deposits $5,630 in City Bank, which...Ch. 12.1 - Prob. 9AHCh. 12.1 - Prob. 10AHCh. 12.1 - Prob. 11AHCh. 12.1 - Prob. 12AHCh. 12.1 - Prob. 13AHCh. 12.2 - Prob. 1PQCh. 12.2 - Prob. 2PQCh. 12.2 - Bill Blum needs $20,000 6 years from today to...Ch. 12.2 - Prob. 4PQCh. 12.2 - Prob. 1EPQCh. 12.2 - Prob. 2EPQCh. 12.2 - Prob. 3EPQCh. 12.2 - Prob. 4EPQCh. 12.2 - Prob. 1AHCh. 12.2 - Prob. 2AHCh. 12.2 - Prob. 3AHCh. 12.2 - Prob. 4AHCh. 12.2 - Prob. 5AHCh. 12.2 - Prob. 6AHCh. 12.2 - Prob. 7AHCh. 12.2 - Prob. 8AHCh. 12.2 - Prob. 9AHCh. 12.2 - Prob. 10AHCh. 12.2 - Prob. 11AHCh. 12.2 - Prob. 12AHCh. 12.2 - Prob. 13AHCh. 12.2 - Prob. 14AHCh. 12 - Prob. 1ECPCh. 12 - Prob. 2ECPCh. 12 - Prob. 3ECPCh. 12 - Prob. 4ECPCh. 12 - Calculate the effective rate (APY) of interest for...Ch. 12 - Prob. 6ECPCh. 12 - Prob. 7ECPCh. 12 - Prob. 8ECPCh. 12 - Prob. 9ECPCh. 12 - Prob. 10ECPCh. 12 - Prob. 11ECPCh. 12 - Prob. 12ECPCh. 12 - Lynn Ally, owner of a local Subway shop, loaned...Ch. 12 - Prob. 14ECPCh. 12 - Melvin Indecision has difficulty deciding whether...Ch. 12 - Prob. 16ECPCh. 12 - Lee Wills loaned Audrey Chin $16,000 to open Snip...Ch. 12 - Jazelle Momba wants to visit her family in...Ch. 12 - Prob. 19ECPCh. 12 - Prob. 20ECPCh. 12 - Prob. 21ECPCh. 12 - Prob. 22ECPCh. 12 - Prob. 23ECPCh. 12 - Prob. 24ECPCh. 12 - Prob. 25ECPCh. 12 - Prob. 26ECPCh. 12 - Prob. 27ECPCh. 12 - Earl Ezekiel wants to retire in San Diego when he...Ch. 12 - Jackie Rich would like to buy a $26,995 Toyota...Ch. 12 - Treasure Mountain International School in Park...Ch. 12 - Pete’s Real Estate is currently valued at $65,000....Ch. 12 - You are the financial planner for Johnson...Ch. 12 - Lorna Ray, owner of a Starbucks franchise, loaned...Ch. 12 - Joe Beary wants to attend Riverside College. Eight...Ch. 12 - Shelley Katz deposited $30,000 in a savings...Ch. 12 - Earl Miller, owner of a Papa Gino’s franchise,...Ch. 12 - Minnie Rose deposited $16,000 in Street Bank at 6%...Ch. 12 - Lou Ling, owner of Lou’s Lube, estimates that he...Ch. 12 - Bernie Long wants to retire to California when she...Ch. 12 - Jim Jones deposited $19,000 in a savings account...
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