Practical Business Math Procedures
12th Edition
ISBN: 9781259540554
Author: Jeffrey Slater, Sharon Wittry
Publisher: McGraw-Hill Education
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Chapter 1, Problem 41ECP
To determine
The value of the given expression by completing the expression.
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Chapter 1 Solutions
Practical Business Math Procedures
Ch. 1.1 - Write in verbal form:
7,948
...Ch. 1.1 - Prob. 2PQCh. 1.1 - Kellogg’s reported its sales as five million, one...Ch. 1.1 - Write in verbal form:
8,682
...Ch. 1.1 - Prob. 2EPQCh. 1.1 - Kellogg’s reported its sales as three million, two...Ch. 1.1 - Express the following numbers in verbal...Ch. 1.1 - Write in numeric form:
Eighty thousand, two...Ch. 1.1 - Round the following numbers:
To the nearest...Ch. 1.1 - Round off each number to the nearest ten, nearest...
Ch. 1.1 - Name the place position (place value) of the...Ch. 1.1 - Gim Smith was shopping for an Apple computer. He...Ch. 1.1 - Amy Parker had to write a check at the bookstore...Ch. 1.1 - Matt Schaeffer was listening to the news and heard...Ch. 1.1 - Jackie Martin is the city clerk and must go to the...Ch. 1.1 - A government survey revealed that 25,963,400...Ch. 1.1 - Bob Donaldson wished to present his top student...Ch. 1.1 - Nancy Morrissey has a problem reading large...Ch. 1.2 - Add by totaling each separate column:
Ch. 1.2 - Estimate by rounding all the way (do not round the...Ch. 1.2 - Subtract and check your answer:
Ch. 1.2 - Jackson Manufacturing Company projected its year...Ch. 1.2 - Add by totaling each separate column:
Ch. 1.2 - Estimate by rounding all the way (do not round the...Ch. 1.2 - Subtract and check your answer:
Ch. 1.2 - Jackson Manufacturing Company projected its year...Ch. 1.2 - Add by totaling each separate column:
Ch. 1.2 - Prob. 2AHCh. 1.2 - Prob. 3AHCh. 1.2 - Subtract and check:
Ch. 1.2 - Prob. 5AHCh. 1.2 - Prob. 6AHCh. 1.2 - Prob. 7AHCh. 1.2 - Prob. 8AHCh. 1.2 - Prob. 9AHCh. 1.2 - Prob. 10AHCh. 1.2 - Prob. 11AHCh. 1.2 - Prob. 12AHCh. 1.2 - Prob. 13AHCh. 1.3 - Estimate the actual problem by rounding all the...Ch. 1.3 - Prob. 2PQCh. 1.3 - Prob. 3PQCh. 1.3 - Prob. 4PQCh. 1.3 - Prob. 5PQCh. 1.3 - Prob. 6PQCh. 1.3 - Prob. 1EPQCh. 1.3 - Prob. 2EPQCh. 1.3 - Prob. 3EPQCh. 1.3 - Prob. 4EPQCh. 1.3 - Prob. 5EPQCh. 1.3 - Prob. 6EPQCh. 1.3 - Prob. 1AHCh. 1.3 - Prob. 2AHCh. 1.3 - Prob. 3AHCh. 1.3 - Prob. 4AHCh. 1.3 - Prob. 5AHCh. 1.3 - Prob. 6AHCh. 1.3 - Prob. 7AHCh. 1.3 - Prob. 8AHCh. 1.3 - Prob. 9AHCh. 1.3 - Prob. 10AHCh. 1.3 - Prob. 11AHCh. 1.3 - Prob. 12AHCh. 1.3 - Ben Krenshaw’s supervisor at the construction site...Ch. 1 - Prob. 1ECPCh. 1 - Prob. 2ECPCh. 1 - Prob. 3ECPCh. 1 - Prob. 4ECPCh. 1 - Prob. 5ECPCh. 1 - Add the following: LU 1-2(1)
Ch. 1 - Prob. 7ECPCh. 1 - Prob. 8ECPCh. 1 - Prob. 9ECPCh. 1 - Prob. 10ECPCh. 1 - Prob. 11ECPCh. 1 - Prob. 12ECPCh. 1 - Prob. 13ECPCh. 1 - Multiply the following: LU 1-3(1)
Ch. 1 - Prob. 15ECPCh. 1 - Multiply the following: LU 1-3(1)
Ch. 1 - Multiply the following: LU 1-3(1)
Ch. 1 - Prob. 18ECPCh. 1 - Prob. 19ECPCh. 1 - Prob. 20ECPCh. 1 - Prob. 21ECPCh. 1 - Prob. 22ECPCh. 1 - Prob. 23ECPCh. 1 - Prob. 24ECPCh. 1 - Prob. 25ECPCh. 1 - Prob. 26ECPCh. 1 - Prob. 27ECPCh. 1 - Prob. 28ECPCh. 1 - Add the following and check by totaling each...Ch. 1 - Prob. 30ECPCh. 1 - Prob. 31ECPCh. 1 - Prob. 32ECPCh. 1 - Prob. 33ECPCh. 1 - Prob. 34ECPCh. 1 - Prob. 35ECPCh. 1 - Prob. 36ECPCh. 1 - Prob. 37ECPCh. 1 - Prob. 38ECPCh. 1 - Prob. 39ECPCh. 1 - Prob. 40ECPCh. 1 - Prob. 41ECPCh. 1 - Prob. 42ECPCh. 1 - Prob. 43ECPCh. 1 - Prob. 44ECPCh. 1 - Prob. 45ECPCh. 1 - Prob. 46ECPCh. 1 - Prob. 47ECPCh. 1 - Prob. 48ECPCh. 1 - Prob. 49ECPCh. 1 - Prob. 50ECPCh. 1 - Prob. 51ECPCh. 1 - Prob. 52ECPCh. 1 - Prob. 53ECPCh. 1 - Yahoo! Health reported in November 2014 that 6 out...Ch. 1 - Prob. 55ECPCh. 1 - Prob. 56ECPCh. 1 - Prob. 57ECPCh. 1 - Ron Alf, owner of Alf’s Moving Company, bought a...Ch. 1 - Prob. 59ECPCh. 1 - Prob. 60ECPCh. 1 - Prob. 61ECPCh. 1 - Prob. 62ECPCh. 1 - Prob. 63ECPCh. 1 - Prob. 64ECPCh. 1 - Prob. 65ECPCh. 1 - Prob. 66ECPCh. 1 - Roger Company produces beach balls and operates...Ch. 1 - Prob. 68ECPCh. 1 - Prob. 69ECPCh. 1 - Prob. 70ECPCh. 1 - Prob. 71ECPCh. 1 - Prob. 72ECPCh. 1 - Prob. 73ECPCh. 1 - Prob. 74ECPCh. 1 - Prob. 75ECPCh. 1 - Paula Sanchez is trying to determine her 2015...Ch. 1 - Prob. 1PTCh. 1 - Express the following number in verbal...Ch. 1 - Round the following numbers. LU 1-1(2)
Ch. 1 - Prob. 4PTCh. 1 - Prob. 5PTCh. 1 - Prob. 6PTCh. 1 - Prob. 7PTCh. 1 - Divide the following by the shortcut method. LU...Ch. 1 - Prob. 9PTCh. 1 - Sam Song plans to buy a $16,000 Ford Focus with an...Ch. 1 - Lester Hal has the oil tank at his business filled...
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- 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 x2 x3 81 82 83 84 81 -2 0 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 -8arrow_forwardb) 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 ₁ - 2x2+x34x4 subject to 2x1+x22x3x41, 5x1 + x2-x3-×4 ≤ −1, 2x1+x2-x3-34 2, 1, 2, 3, 40.arrow_forward9. An elementary single period market model contains a risk-free asset with interest rate r = 5% and a risky asset S which has price 30 at time t = 0 and will have either price 10 or 60 at time t = 1. Find a replicating strategy for a contingent claim with payoff h(S₁) = max(20 - S₁, 0) + max(S₁ — 50, 0). Total [8 Marks]arrow_forward
- 8. An elementary single period market model has a risky asset with price So = 20 at the beginning and a money market account with interest rate r = 0.04 compounded only once at the end of the investment period. = = In market model A, S₁ 10 with 15% probability and S₁ 21 with 85% probability. In market model B, S₁ = 25 with 10% probability and S₁ = 30 with 90% probability. For each market model A, B, determine if the model is arbitrage-free. If not, construct an arbitrage. Total [9 Marks]arrow_forwardb) 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 ₁ - 2x2+x34x4 subject to 2x1+x22x3x41, 5x1 + x2-x3-×4 ≤ −1, 2x1+x2-x3-34 2, 1, 2, 3, 40.arrow_forwardSuppose we have a linear program in standard equation form maximize cTx 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.arrow_forward
- 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 x2 x3 81 82 83 84 81 -2 0 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 -8arrow_forwardMicrosoft Excel snapshot for random sampling: Also note the formula used for the last column 02 x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51)) A B 1 No. States 2 1 ALABAMA Rand No. 0.925957526 3 2 ALASKA 0.372999976 4 3 ARIZONA 0.941323044 5 4 ARKANSAS 0.071266381 Random Sample CALIFORNIA NORTH CAROLINA ARKANSAS WASHINGTON G7 Microsoft Excel snapshot for systematic sampling: xfx INDEX(SD52:50551, F7) A B E F G 1 No. States Rand No. Random Sample population 50 2 1 ALABAMA 0.5296685 NEW HAMPSHIRE sample 10 3 2 ALASKA 0.4493186 OKLAHOMA k 5 4 3 ARIZONA 0.707914 KANSAS 5 4 ARKANSAS 0.4831379 NORTH DAKOTA 6 5 CALIFORNIA 0.7277162 INDIANA Random Sample Sample Name 7 6 COLORADO 0.5865002 MISSISSIPPI 8 7:ONNECTICU 0.7640596 ILLINOIS 9 8 DELAWARE 0.5783029 MISSOURI 525 10 15 INDIANA MARYLAND COLORADOarrow_forwardThe spread of an infectious disease is often modeled using the following autonomous differential equation: dI - - BI(N − I) − MI, dt where I is the number of infected people, N is the total size of the population being modeled, ẞ is a constant determining the rate of transmission, and μ is the rate at which people recover from infection. Close a) (5 points) Suppose ẞ = 0.01, N = 1000, and µ = 2. Find all equilibria. b) (5 points) For the equilbria in part a), determine whether each is stable or unstable. c) (3 points) Suppose ƒ(I) = d. Draw a phase plot of f against I. (You can use Wolfram Alpha or Desmos to plot the function, or draw the dt function by hand.) Identify the equilibria as stable or unstable in the graph. d) (2 points) Explain the biological meaning of these equilibria being stable or unstable.arrow_forward
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