EBK PRACTICAL MANAGEMENT SCIENCE
5th Edition
ISBN: 9780100655065
Author: ALBRIGHT
Publisher: YUZU
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Chapter 8.10, Problem 24P
Summary Introduction
To determine: The optimal assignment of teams to divisions using evolutionary solver.
Introduction: The variation between the present value of the
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In a metropolitan area, 45,000 people want to travel from the city suburbs to the city center. To do so, they can drive, take a city bus, or use the subway system. Ifx1 number of people drive and x2 number of people take a bus, it will take respectively (0.0006 x1 + 30) and (0.0003 x2 + 40) minutes to make the trip;whereas a subway trip is expected to take 45 minutes. The city bus system can transport a maximum of 20,000 people to the city center, while the subway systemhas a capacity of transporting at most 10,000. Write a programming formulation that minimizes the average travel time for each person.
Heller Manufacturing has two production facilities that manufacture baseball gloves. Production costs at the two facilities differ because of varying labor rates, local property taxes, type of
equipment, capacity, and so on. The Dayton plant has weekly costs that can be expressed as a function of the number of gloves produced
TCD(X) = x2 - X + 3
where X is the weekly production volume in thousands of units and TCD(X) is the cost in thousands of dollars. The Hamilton plant's weekly production costs are given by
TCH(Y) = y2 + 2Y + 2
where Y is the weekly production volume in thousands of units and TCH(Y) is the cost in thousands of dollars. Heller Manufacturing would like to produce 5,000 gloves per week at the lowest
possible cost.
(a) Formulate a mathematical model that can be used to determine the optimal number of gloves to produce each week at each facility.
min
s.t.
= 5
X, Y 2 0
(b) Use Excel Solver or LINGO to find the solution to your mathematical model to determine the optimal…
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Chapter 8 Solutions
EBK PRACTICAL MANAGEMENT SCIENCE
Ch. 8.3 - Prob. 1PCh. 8.3 - Prob. 2PCh. 8.4 - Prob. 3PCh. 8.4 - Prob. 4PCh. 8.4 - Prob. 5PCh. 8.5 - Prob. 6PCh. 8.5 - Prob. 7PCh. 8.5 - In the lawn mower production problem in Example...Ch. 8.6 - Prob. 9PCh. 8.6 - Prob. 10P
Ch. 8.6 - Prob. 11PCh. 8.6 - Prob. 12PCh. 8.7 - Prob. 13PCh. 8.7 - Prob. 14PCh. 8.8 - Prob. 15PCh. 8.9 - Prob. 17PCh. 8.9 - Prob. 18PCh. 8.10 - Prob. 20PCh. 8.10 - Prob. 21PCh. 8.10 - Prob. 22PCh. 8.10 - Prob. 23PCh. 8.10 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - Prob. 27PCh. 8 - Prob. 28PCh. 8 - Prob. 29PCh. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - Prob. 32PCh. 8 - Prob. 33PCh. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - Prob. 36PCh. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - Prob. 39PCh. 8 - Prob. 40PCh. 8 - Prob. 41PCh. 8 - Prob. 42PCh. 8 - Prob. 43PCh. 8 - Prob. 44PCh. 8 - Prob. 46PCh. 8 - Prob. 1CCh. 8 - Prob. 2C
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- Heller Manufacturing has two production facilities that manufacture baseball gloves. Production costs at the two facilities differ because of varying labor rates, local property taxes, type of equipment, capacity, and so on. The Dayton plant has weekly costs that can be expressed as a function of the number of gloves produced TCD(X) = x² - X + 9 where X is the weekly production volume in thousands of units and TCD(X) is the cost in thousands of dollars. The Hamilton plant's weekly production costs are given by TCH(Y) = y² + 2Y + 6 where Y is the weekly production volume in thousands of units and TCH(Y) is the cost in thousands of dollars. Heller Manufacturing would like to produce 9,000 gloves per week at the lowest possible cost. (a) Formulate a mathematical model that can be used to determine the optimal number of gloves to produce each week at each facility. X²-X+9+²+2Y+6 min s.t. X+Y X, Y 20 = 9 (b) Use Excel Solver or LINGO to find the solution to your mathematical model to…arrow_forwardUse the simplex algorithm to solve the following LP: max z x1 x2 x3 s.t. x1 2x2 2x3 20arrow_forwardHeller Manufacturing has two production facilities that manufacture baseball gloves. Production costs at the two facilities differ because of varying labor rates, local property taxes, type of equipment, capacity, and so on. The Dayton plant has weekly costs that can be expressed as a function of the number of gloves produced TCD(X) = X2 − X + 4 where X is the weekly production volume in thousands of units and TCD(X) is the cost in thousands of dollars. The Hamilton plant's weekly production costs are given by TCH(Y) = Y2 + 2Y + 3 where Y is the weekly production volume in thousands of units and TCH(Y) is the cost in thousands of dollars. Heller Manufacturing would like to produce 9,000 gloves per week at the lowest possible cost. (a) Formulate a mathematical model that can be used to determine the optimal number of gloves to produce each week at each facility. min s.t. = 9 X, Y ≥ 0 (b) Use Excel Solver or LINGO to find the…arrow_forward
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