Pearson eText for Finite Mathematics & Its Applications -- Instant Access (Pearson+)
12th Edition
ISBN: 9780137442966
Author: Larry Goldstein, David Schneider
Publisher: PEARSON+
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Chapter 4.4, Problem 1E
To determine
The effect on the optimal number of knives produced and, on the profit, if the number of labor-hours for finishing the work that are available each day is increased by
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A company that focuses on research and development (R&D) is interested in the relationship between
profit and some variables that can explain profit variations. They want to predict the profits of some
new and exciting projects because some are risky. The predictor variables considered are: RISK which
is a company derived metric, R&D which is the research and development costs, REGION (WC, EC
and KZN) and average per capita income (INCOME in R1000.00).
The analyst decides to estimate the regression function with the following response function.
Ý (profit) = bo + b₁XRisk + b₂XR&D + b3Xwc + b4Xec + b5XINC
Answer the following questions.
4.1. The analyst considered the fact that the effects of multicollinearity may influence some analytical
and visual conclusions. Use the following results to show the process of establishing by using
extra sums of squares whether there is that multicollinearity present or not. Explain and interpret
in detail.
SSR(X) = 2573.72, SSR(X₁) = 2600.7, SSR(X₂|…
A company that focuses on research and development (R&D) is interested in the relationship between
profit and some variables that can explain profit variations. They want to predict the profits of some
new and exciting projects because some are risky. The predictor variables considered are: RISK which
is a company derived metric, R&D which is the research and development costs, REGION (WC, EC
and KZN) and average per capita income (INCOME in R1000.00).
The analyst decides to estimate the regression function with the following response function.
Ỹ (profit) = bo + b₁XRisk + b₂X R&D +b3Xwc + b₁XEC + b₂XINC
Answer the following questions.
4.1. The analyst considered the fact that the effects of multicollinearity may influence some analytical
and visual conclusions. Use the following results to show the process of establishing by using
5
extra sums of squares whether there is that multicollinearity present or not. Explain and interpret
in detail.
SSR(X) = 2573.72, SSR(X₁) = 2600.7,…
A company that focuses on research and development (R&D) is interested in the relationship between
profit and some variables that can explain profit variations. They want to predict the profits of some
new and exciting projects because some are risky. The predictor variables considered are: RISK which
is a company derived metric, R&D which is the research and development costs, REGION (WC, EC
and KZN) and average per capita income (INCOME in R1000.00).
The analyst decides to estimate the regression function with the following response function.
Y (profit) = bo + b₁XRisk + b₂XR&D +b3Xwc + b₁XEC + b5XINC
Answer the following questions.
4.1. The analyst considered the fact that the effects of multicollinearity may influence some analytical
and visual conclusions. Use the following results to show the process of establishing by using
5
extra sums of squares whether there is that multicollinearity present or not. Explain and interpret
in detail.
SSR (X) = 2573.72, SSR(X₁) = 2600.7, SSR(X₂|…
Chapter 4 Solutions
Pearson eText for Finite Mathematics & Its Applications -- Instant Access (Pearson+)
Ch. 4.1 - 1. Determine by inspection a particular solution...Ch. 4.1 - Prob. 2CYUCh. 4.1 - For each of the following linear programming...Ch. 4.1 - For each of the following linear programming...Ch. 4.1 - For each of the following linear programming...Ch. 4.1 - For each of the following linear programming...Ch. 4.1 - For each of the following linear programming...Ch. 4.1 - For each of the following linear programming...Ch. 4.1 - 712For each of the linear programming problems in...Ch. 4.1 - 7–12 For each of the linear programming problems...
Ch. 4.1 - 712For each of the linear programming problems in...Ch. 4.1 - 7–12 For each of the linear programming problems...Ch. 4.1 - 7–12 For each of the linear programming problems...Ch. 4.1 - 712For each of the linear programming problems in...Ch. 4.1 - In Exercises 13–20, find the particular solution...Ch. 4.1 - In Exercises 1320, find the particular solution...Ch. 4.1 - In Exercises 13–20, find the particular solution...Ch. 4.1 - In Exercises 1320, find the particular solution...Ch. 4.1 - In Exercises 13–20, find the particular solution...Ch. 4.1 - Prob. 18ECh. 4.1 - In Exercises 13–20, find the particular solution...Ch. 4.1 - In Exercises 1320, find the particular solution...Ch. 4.1 - Pivot the simplex tableau...Ch. 4.1 - Pivot the simplex tableau...Ch. 4.1 - 23. (a) Name the group I and group II variables in...Ch. 4.1 - 24. (a) Name the group I and group II variables in...Ch. 4.2 - 1. Which of these simplex tableaux has a solution...Ch. 4.2 - Prob. 2CYUCh. 4.2 - In Exercises 1–6, determine the next pivot element...Ch. 4.2 - In Exercises 16, determine the next pivot element...Ch. 4.2 - In Exercises 16, determine the next pivot element...Ch. 4.2 - In Exercises 1–6, determine the next pivot element...Ch. 4.2 - Prob. 5ECh. 4.2 - In Exercises 16, determine the next pivot element...Ch. 4.2 - !! For each of the simplex tableaux in Exercises...Ch. 4.2 - For each of the simplex tableaux in Exercises...Ch. 4.2 - !! For each of the simplex tableaux in Exercises...Ch. 4.2 - For each of the simplex tableaux in Exercises...Ch. 4.2 - In Exercises 1120, solve the linear programming...Ch. 4.2 - In Exercises 1120, solve the linear programming...Ch. 4.2 - In Exercises 1120, solve the linear programming...Ch. 4.2 - In Exercises 11–20, solve the linear programming...Ch. 4.2 - In Exercises 1120, solve the linear programming...Ch. 4.2 - In Exercises 11–20, solve the linear programming...Ch. 4.2 - In Exercises 11–20, solve the linear programming...Ch. 4.2 - In Exercises 11–20, solve the linear programming...Ch. 4.2 - In Exercises 1120, solve the linear programming...Ch. 4.2 - In Exercises 1120, solve the linear programming...Ch. 4.2 - 21. Toy Factory A toy manufacturer makes...Ch. 4.2 - 22. Agriculture A large agricultural firm has 250...Ch. 4.2 - 23. Furniture Factory Suppose that a furniture...Ch. 4.2 - Stereo Store A stereo store sells three brands of...Ch. 4.2 - Weight Loss and exercise As part of a...Ch. 4.2 - 26. Furniture Factory A furniture manufacturer...Ch. 4.2 - Prob. 27ECh. 4.2 - Baby Products A baby products company makes car...Ch. 4.2 - Potting Soil Mixes A lawn and garden store creates...Ch. 4.2 - Prob. 30ECh. 4.2 - Prob. 31ECh. 4.2 - 32. Maximize subject to the constraints
Ch. 4.2 - Maximize 60x+90y+300z subject to the constraints...Ch. 4.2 - 34. Maximize subject to the constraints
Ch. 4.2 - Maximize 2x+4y subject to the constraints...Ch. 4.2 - Prob. 36ECh. 4.2 - In Exercises 1–6, determine the next pivot element...Ch. 4.3 - 1. Convert the following minimum problem into a...Ch. 4.3 - Suppose that the solution of a minimum problem...Ch. 4.3 - In Exercises 14, write each linear programming...Ch. 4.3 - In Exercises 14, write each linear programming...Ch. 4.3 - In Exercises 1–4, write each linear programming...Ch. 4.3 - In Exercises 1–4, write each linear programming...Ch. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - In Exercises 916, solve the linear programming...Ch. 4.3 - In Exercises 9–16, solve the linear programming...Ch. 4.3 - In Exercises 9–16, solve the linear programming...Ch. 4.3 - In Exercises 9–16, solve the linear programming...Ch. 4.3 - Prob. 13ECh. 4.3 - In Exercises 916, solve the linear programming...Ch. 4.3 - In Exercises 916, solve the linear programming...Ch. 4.3 - Prob. 16ECh. 4.3 - 17. Nutrition A dietitian is designing a daily...Ch. 4.3 - Electronics Manufacture A manufacturing company...Ch. 4.3 - Supply and Demand An appliance store sells three...Ch. 4.3 - 20. Political Campaign A citizen decides to...Ch. 4.3 - Inventory A Manufacturer of computers must fill...Ch. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - 24. Maximize subject to the constraints
Ch. 4.4 - Consider the furniture manufacturing problem,...Ch. 4.4 - Prob. 2CYUCh. 4.4 - Prob. 1ECh. 4.4 - Prob. 2ECh. 4.4 - Exercises 3 and 4 refer to the transportation...Ch. 4.4 - Exercises 3 and 4 refer to the transportation...Ch. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Prob. 9ECh. 4.4 - Prob. 10ECh. 4.4 - Prob. 11ECh. 4.4 - Prob. 12ECh. 4.4 - Prob. 13ECh. 4.4 - In Exercises 13 and 14, give the matrix...Ch. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - Prob. 18ECh. 4.4 - 19. Create a sensitivity report for the...Ch. 4.4 - Create a sensitivity report for the nutrition...Ch. 4.5 - A linear programming problem involving three...Ch. 4.5 - Prob. 2CYUCh. 4.5 - Prob. 1ECh. 4.5 - Prob. 2ECh. 4.5 - In Exercises 16, determine the dual problem of the...Ch. 4.5 - In Exercises 16, determine the dual problem of the...Ch. 4.5 - Prob. 5ECh. 4.5 - Prob. 6ECh. 4.5 - 7. The final simplex tableau for the linear...Ch. 4.5 - The final simplex tableau for the dual of the...Ch. 4.5 - Prob. 9ECh. 4.5 - Prob. 10ECh. 4.5 - Prob. 11ECh. 4.5 - In Exercises 11–14, determine the dual problem....Ch. 4.5 - Prob. 13ECh. 4.5 - In Exercises 11–14, determine the dual problem....Ch. 4.5 - 15. Cutting edge Knife Co. Give an economic...Ch. 4.5 - Prob. 16ECh. 4.5 - Prob. 17ECh. 4.5 - Prob. 18ECh. 4.5 - Prob. 19ECh. 4.5 - Use the dual to solve Exercises 20 and 21....Ch. 4.5 - Use the dual to solve Exercises 20 and...Ch. 4 - 1. What is the standard maximization form of a...Ch. 4 - Prob. 2FCCECh. 4 - Prob. 3FCCECh. 4 - Give the steps for carrying out the simplex method...Ch. 4 - Prob. 5FCCECh. 4 - Prob. 6FCCECh. 4 - Prob. 7FCCECh. 4 - State the fundamental theorem of duality.Ch. 4 - Prob. 9FCCECh. 4 - 10. What is meant by “sensitivity analysis”?
Ch. 4 - Prob. 11FCCECh. 4 - In Exercises 1–10, use the simplex method to solve...Ch. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Determine the dual problem of the linear...Ch. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Consider the linear programming problems in...Ch. 4 - Prob. 17RECh. 4 - Nutrition A camp counselor wants to make a...Ch. 4 - Prob. 19RECh. 4 - 20. Stereo Store Consider the stereo store of...Ch. 4 - Jason’s House of Cheese offers two cheese...Ch. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Jasons House of Cheese offers two cheese...Ch. 4 - Jasons House of Cheese offers two cheese...Ch. 4 - Prob. 6P
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