
Contemporary Mathematics for Business & Consumers
8th Edition
ISBN: 9781305585447
Author: Robert Brechner, Geroge Bergeman
Publisher: Cengage Learning
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Chapter 19, Problem 18AT
To determine
To calculate: The short rate premium due for the coverage of 4 months if the moving company purchased property insurance to cover the valuable equipment for an annual premium of $12,500.
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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 19 Solutions
Contemporary Mathematics for Business & Consumers
Ch. 19.I - Prob. 1TIECh. 19.I - Prob. 2TIECh. 19.I - Prob. 3TIECh. 19.I - Calculate the annual, semiannual, quarterly, and...Ch. 19.I - Calculate the annual. semiannual, quarterly, and...Ch. 19.I - Prob. 3RECh. 19.I - Calculate the annual. semiannual, quarterly, and...Ch. 19.I - Prob. 5RECh. 19.I - Calculate the annual. semiannual, quarterly, and...Ch. 19.I - Calculate the annual. semiannual, quarterly, and...
Ch. 19.I - Calculate the annual. semiannual, quarterly, and...Ch. 19.I - Prob. 9RECh. 19.I - Calculate the value of the nonforfeiture options...Ch. 19.I - Prob. 11RECh. 19.I - Prob. 12RECh. 19.I - Calculate the value of the nonforfeiture options...Ch. 19.I - Calculate the value of the nonforfeiture options...Ch. 19.I - Leroy Kirk is 35 years old and is interested in...Ch. 19.I - 16. Rene Boyer, age 27. wants to purchase a 5-year...Ch. 19.I - Carmen Gutierrez purchased a $75,000, 20-payment...Ch. 19.I - 18. Alex Baron is evaluating his life insurance...Ch. 19.I - Richard Ryan is evaluating his life insurance...Ch. 19.I - BUSINESS DECISION: THE CONSULTATION
20. Tina...Ch. 19.II - You are the insurance agent for Diamond...Ch. 19.II - Prob. 5TIECh. 19.II - Prob. 6TIECh. 19.II - Prob. 7TIECh. 19.II - Prob. 8TIECh. 19.II - Prob. 1RECh. 19.II - Prob. 2RECh. 19.II - Prob. 3RECh. 19.II - Calculate the building, contents, and total...Ch. 19.II - Prob. 5RECh. 19.II - Prob. 6RECh. 19.II - Prob. 7RECh. 19.II - Prob. 8RECh. 19.II - Prob. 9RECh. 19.II - Calculate the short-term premium and refund for...Ch. 19.II - Calculate the short-term premium and refund for...Ch. 19.II - Calculate the short-term premium and refund for...Ch. 19.II - Prob. 13RECh. 19.II - Prob. 14RECh. 19.II - Prob. 15RECh. 19.II - Calculate the amount to be paid by the insurance...Ch. 19.II - Prob. 17RECh. 19.II - Calculate the amount to be paid by the insurance...Ch. 19.II - Prob. 19RECh. 19.II - You are the insurance agent for Castle Mountain...Ch. 19.II - A property insurance policy has an annual premium...Ch. 19.II - 22. Insignia Enterprises has a property insurance...Ch. 19.II - Prob. 23RECh. 19.II - BUSINESS DECISION: BUSINESS INTERRUPTION INSURANCE...Ch. 19.III - Jeff Wasserman, owner of High Performance Racing...Ch. 19.III - Prob. 10TIECh. 19.III - Prob. 1RECh. 19.III - Prob. 2RECh. 19.III - Prob. 3RECh. 19.III - As an insurance agent, calculate the annual...Ch. 19.III - Prob. 5RECh. 19.III - Prob. 6RECh. 19.III - Prob. 7RECh. 19.III - As an insurance agent, calculate the annual...Ch. 19.III - 9. Rick Clinton wants to purchase an automobile...Ch. 19.III -
10. Howard Marshall’s Corvette was hit by a palm...Ch. 19.III - Ben Hoffman has motor vehicle liability insurance...Ch. 19.III - BUSINESS DECISION: INSURING THE FLEET
12. The...Ch. 19 - A mechanism for reducing financial risk and...Ch. 19 - 2. The amount of protection provided by an...Ch. 19 - Prob. 3CRCh. 19 - Prob. 4CRCh. 19 - Prob. 5CRCh. 19 - Prob. 6CRCh. 19 - Prob. 7CRCh. 19 - Prob. 8CRCh. 19 - The premium charged when a policy is canceled by...Ch. 19 - The clause in a property insurance policy...Ch. 19 - Prob. 11CRCh. 19 - Prob. 12CRCh. 19 - Prob. 13CRCh. 19 - Prob. 14CRCh. 19 - Prob. 1ATCh. 19 - Calculate the annual, semiannual, quarterly, and...Ch. 19 - Calculate the annual, semiannual, quarterly, and...Ch. 19 - Calculate the annual, semiannual, quarterly, and...Ch. 19 - Prob. 5ATCh. 19 - Prob. 6ATCh. 19 - Prob. 7ATCh. 19 - 8. Mary Hall purchased a $45,000 20-year endowment...Ch. 19 - Prob. 9ATCh. 19 - Calculate the building, contents, and total...Ch. 19 - Prob. 11ATCh. 19 - Prob. 12ATCh. 19 - Prob. 13ATCh. 19 - Calculate the short-term premium and refund for...Ch. 19 - Prob. 15ATCh. 19 - Calculate the amount to be paid by the insurance...Ch. 19 - Prob. 17ATCh. 19 - Prob. 18ATCh. 19 - Prob. 19ATCh. 19 - Prob. 20ATCh. 19 - Prob. 21ATCh. 19 - Prob. 22ATCh. 19 - Prob. 23ATCh. 19 - Prob. 24AT
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