Contemporary Mathematics for Business & Consumers
8th Edition
ISBN: 9781305585447
Author: Robert Brechner, Geroge Bergeman
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 11, Problem 37AT
To determine
To calculate: The present amount of investment compounded quarterly at
Round to the nearest whole dollar.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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 11 Solutions
Contemporary Mathematics for Business & Consumers
Ch. 11.I - Gail Parker invested $10,000 at 6% interest...Ch. 11.I - Jenny Chao invested $20,000 at 6% interest...Ch. 11.I - Prob. 3TIECh. 11.I - Jill Quinn invested $7,000 in a certificate of...Ch. 11.I - Prob. 5TIECh. 11.I - Prob. 1RECh. 11.I - For the following investments, find the total...Ch. 11.I - For the following investments, find the total...Ch. 11.I - Prob. 4RECh. 11.I - Prob. 5RE
Ch. 11.I - Prob. 6RECh. 11.I - For the following investments, find the total...Ch. 11.I - Prob. 8RECh. 11.I - Prob. 9RECh. 11.I - Manually calculate the compound amount and...Ch. 11.I - Prob. 11RECh. 11.I - Prob. 12RECh. 11.I - Prob. 13RECh. 11.I - Prob. 14RECh. 11.I - Prob. 15RECh. 11.I - Prob. 16RECh. 11.I - Using Table 11-1, calculate the compound amount...Ch. 11.I - Prob. 18RECh. 11.I - Prob. 19RECh. 11.I - The following investments require table factors...Ch. 11.I - Prob. 21RECh. 11.I - Prob. 22RECh. 11.I - Prob. 23RECh. 11.I - Prob. 24RECh. 11.I - Prob. 25RECh. 11.I - For the following investments, compute the amount...Ch. 11.I - For the following investments, compute the amount...Ch. 11.I - Prob. 28RECh. 11.I - Solve the following word problems by using Table...Ch. 11.I - Prob. 30RECh. 11.I - Solve the following word problems by using Table...Ch. 11.I - Solve the following word problems by using Table...Ch. 11.I - Solve the following word problems by using Table...Ch. 11.I - Solve the following word problems by using Table...Ch. 11.I - Prob. 35RECh. 11.I - Solve the following exercises and word problems by...Ch. 11.I - Prob. 37RECh. 11.I - Prob. 38RECh. 11.I - 39. Gabriel Hopen, a 32-year-old commercial...Ch. 11.I - 40. The FernRod Motorcycle Company invested...Ch. 11.II - Prob. 6TIECh. 11.II - Calculate a new table factor and find the present...Ch. 11.II - Prob. 8TIECh. 11.II - For the following investments, calculate the...Ch. 11.II - Prob. 2RECh. 11.II - Prob. 3RECh. 11.II - Prob. 4RECh. 11.II - Prob. 5RECh. 11.II - For the following investments, calculate the...Ch. 11.II - Prob. 7RECh. 11.II - For the following investments, calculate the...Ch. 11.II - Prob. 9RECh. 11.II - Prob. 10RECh. 11.II - Prob. 11RECh. 11.II - The following investments require table factors...Ch. 11.II - The following investments require table factors...Ch. 11.II - Prob. 14RECh. 11.II - The following investments require table factors...Ch. 11.II - Prob. 16RECh. 11.II - Prob. 17RECh. 11.II - Solve the following word problems by using table...Ch. 11.II - Prob. 19RECh. 11.II - Solve the following word problems by using Table...Ch. 11.II - Prob. 21RECh. 11.II - Solve the following word problems by using table...Ch. 11.II - Prob. 23RECh. 11.II - Prob. 24RECh. 11.II - Solve the following exercises and word problems by...Ch. 11.II - Prob. 26RECh. 11.II - 27. Alana and Eva Rodriguez are planning a...Ch. 11.II - 28. Mike Gioulis would like to have $25,000 in 4...Ch. 11.II - You are the finance manager for Olympia...Ch. 11 - 1. Interest calculated solely on the principal is...Ch. 11 - Prob. 2CRCh. 11 - Prob. 3CRCh. 11 - Prob. 4CRCh. 11 - Prob. 5CRCh. 11 - Prob. 6CRCh. 11 - Prob. 7CRCh. 11 - A shortcut method for calculating approximately...Ch. 11 - Prob. 9CRCh. 11 - Prob. 10CRCh. 11 - Prob. 11CRCh. 11 - Prob. 12CRCh. 11 - Prob. 13CRCh. 11 - 14. To use the compound interest formula and the...Ch. 11 - Using Table 11-1, calculate the compound amount...Ch. 11 - Using Table 11-1, calculate the compound amount...Ch. 11 - Using Table 11-1, calculate the compound amount...Ch. 11 - Prob. 4ATCh. 11 - Prob. 5ATCh. 11 - The following investments require table factors...Ch. 11 - Prob. 7ATCh. 11 - For the following investments, compute the amount...Ch. 11 - Prob. 9ATCh. 11 - Prob. 10ATCh. 11 - Calculate the present value (principal) and the...Ch. 11 - Prob. 12ATCh. 11 - Prob. 13ATCh. 11 - Prob. 14ATCh. 11 - Prob. 15ATCh. 11 - Prob. 16ATCh. 11 - Prob. 17ATCh. 11 - Solve the following word problems by using Table...Ch. 11 - Prob. 19ATCh. 11 - Solve the following word problems by using Table...Ch. 11 - Solve the following word problems by using Table...Ch. 11 - Prob. 22ATCh. 11 - Solve the following word problems by using Table...Ch. 11 - Solve the following word problems by using Table...Ch. 11 - Prob. 25ATCh. 11 - Solve the following word problems by using Table...Ch. 11 - Solve the following word problems by using Table...Ch. 11 - Prob. 28ATCh. 11 - Prob. 29ATCh. 11 - Prob. 30ATCh. 11 - Prob. 31ATCh. 11 - Prob. 32ATCh. 11 - Prob. 33ATCh. 11 - Prob. 34ATCh. 11 - Prob. 35ATCh. 11 - Prob. 36ATCh. 11 - Prob. 37ATCh. 11 - Quinn and Julius inherited $50,000 each from their...Ch. 11 - 39. Greg and Verena Sava need $20,000 in 3 years...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Statement:If 2 | a and 3| a, then 6 a. So find three integers, and at least one integer should be negative. For each of your examples, determine if the statement is true or false.arrow_forwardStatement: If 4 | a and 6 | a, then 24 | a. So find three integers, and at least one integer should be negative. For each of your examples, determine if the statement is true or false.arrow_forward2) dassify each critical point of the given plane autovers system x'=x-2x²-2xy y' = 4y-Sy³-7xyarrow_forward
- Evaluate the next integralarrow_forward1. For each of the following, find the critical numbers of f, the intervals on which f is increasing or decreasing, and the relative maximum and minimum values of f. (a) f(x) = x² - 2x²+3 (b) f(x) = (x+1)5-5x-2 (c) f(x) = x2 x-9 2. For each of the following, find the intervals on which f is concave upward or downward and the inflection points of f. (a) f(x) = x - 2x²+3 (b) g(x) = x³- x (c) f(x)=x-6x3 + x-8 3. Find the relative maximum and minimum values of the following functions by using the Second Derivative Test. (a) f(x)=1+3x² - 2x3 (b) g(x) = 2x3 + 3x² - 12x-4arrow_forward24.2. Show that, for any constant zo Є C, (a). e* = e²o Σ j=0 (2 - 20); j! |z|arrow_forwardQuestion 10 (5 points) (07.04 MC) Vectors u and v are shown in the graph. -12-11 -10 -9 -8 -7 -6 -5 What is proju? a -6.5i - 4.55j b -5.2i+2.6j с -4.7631 3.334j d -3.81i+1.905j < + 10 6 5 4 3 2 -3 -2 -10 1 -1 -2 -3 u -4 -5 -6 -7arrow_forward25.4. (a). Show that when 0 < || < 4, 1 1 8 zn 4z - z2 4z +Σ 4n+2* (b). Show that, when 0 < |z1|<2, n=() 2 1 8 (z - 1)(z - 3) - 3 2(z - 1) 3 Σ (2-1)" 27+2 n=0 (c). Show that, when 2<|z|< ∞, 1 z4+4z2 -*()*. n=0arrow_forwardFind the Soultion to the following dy differential equation using Fourier in transforms: = , хуо, ухо according to the terms: lim u(x,y) = 0 x18 lim 4x (x,y) = 0 x14 2 u (x, 0) = =\u(o,y) = -y لوarrow_forward. Expand sinh z in Taylor's series at zo = πi, and show that lim sinh: καπί κ - п - - 1.arrow_forwardQ prove or disprove: If Ely/x) = x = c(dipy =BCCo (BVC) ECxly)=y, and E(X2), Ely)arrow_forward24.3. Show that 8 (a). =(+1)(z+1)*, |+1|<1, j=0 8 (b). sin³ z j=0 (-1) 3(1-9) 4 (2j+1)! 22j+1, |<∞,arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
Intermediate AlgebraAlgebraISBN:9781285195728Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning
Algebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning
Intermediate AlgebraAlgebraISBN:9781285195728Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningAlgebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning
Use of ALGEBRA in REAL LIFE; Author: Fast and Easy Maths !;https://www.youtube.com/watch?v=9_PbWFpvkDc;License: Standard YouTube License, CC-BY
Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=P182Abv3fOk;License: Standard YouTube License, CC-BY
Applications of Algebra (Digit, Age, Work, Clock, Mixture and Rate Problems); Author: EngineerProf PH;https://www.youtube.com/watch?v=Y8aJ_wYCS2g;License: Standard YouTube License, CC-BY