(Integer Programming - Formulation) An automobile company is considering manufacturing three types of cars (compact, midsize,...
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(Integer Programming - Formulation) An automobile company is considering manufacturing three types of cars (compact, midsize, and large) and two types of minivans (midsize and large). The resources required and the profit contributions yielded by each type of vehicle are shown in Exhibit 1. At present, 6500 tons of steel and 65,000 hours of labor are available. If any vehicles of a given type are produced, production of that type of vehicle is economically feasible only if at least a minimal number of that type are produced. These minimal numbers are also listed in Exhibit 1. Develop an Integer Programming model to obtain an optimal production schedule. What will be the optimal solution if the steel availability changes to 6000 tons? Exhibit 1 Vehicle Type Compact Car Mid-Size Car Large Car Mid-Size Minivan Large Minivan Steel (tons)/unit 1.5 3 5 6 8 Labour (hours)/unit 30 25 40 45 55 Minimum Production (if any) 1000 1000 1000 200 200 Profit Contribution 100000 125000 150000 275000 350000 per unit () Reference: Albright, S.C., and W.L. Winston, Management Science Modeling, 4th edition, Cengage Learning. (Integer Programming - Formulation) An automobile company is considering manufacturing three types of cars (compact, midsize, and large) and two types of minivans (midsize and large). The resources required and the profit contributions yielded by each type of vehicle are shown in Exhibit 1. At present, 6500 tons of steel and 65,000 hours of labor are available. If any vehicles of a given type are produced, production of that type of vehicle is economically feasible only if at least a minimal number of that type are produced. These minimal numbers are also listed in Exhibit 1. Develop an Integer Programming model to obtain an optimal production schedule. What will be the optimal solution if the steel availability changes to 6000 tons? Exhibit 1 Vehicle Type Compact Car Mid-Size Car Large Car Mid-Size Minivan Large Minivan Steel (tons)/unit 1.5 3 5 6 8 Labour (hours)/unit 30 25 40 45 55 Minimum Production (if any) 1000 1000 1000 200 200 Profit Contribution 100000 125000 150000 275000 350000 per unit () Reference: Albright, S.C., and W.L. Winston, Management Science Modeling, 4th edition, Cengage Learning.
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Statistics for Business & Economics
ISBN: 978-1337094160
13th edition
Authors: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
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