MGT2251_Linear_Programming_Examples

# MGT2251_Linear_Programming_Examples - Linear Programming...

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Linear Programming Examples Giapetto Problem Giapetto's Woodcarving, Inc. manufactures two types of wooden toys: soldiers and trains. A soldier sells for \$27 and uses \$10 worth of raw materials. Each soldier that is manufactured increases Giapetto's variable labor and overhead costs by \$14. A train sells for \$21 and uses \$9 worth of raw materials. Each train built increases Giapetto's variable labor and overhead costs by \$10. The manufacture of wooden soldiers and trains requires two types of skilled labor: carpentry and finishing. A soldier requires 2 hours of finishing and 1 hour of carpentry labor. A train requires 1 hour of finishing labor and 1 hour of carpentry labor. Each week, Giapetto can obtain all the needed raw material but only 100 finishing hours and 80 carpentry hours. Demand for trains is unlimited, but at most 40 soldiers are bought each week. Giapetto wishes to maximize weekly profit (revenues-costs). Formulate a mathematical model of Giapetto's situation that can be used to maximize Giapetto's weekly profit. Dorian Problem Dorian Auto manufactures luxury cars and trucks. The company believes that its most likely customers are high-income women and high-income men. In order to reach these groups, Dorian Auto has embarked on an ambitious TV advertising campaign and has decided to purchase one-minute commercial spots on two types of programs: comedy shows and football games. Seven million high-income women and two million high-income men see each comedy commercial. Two million high-income women and twelve million high-income men see each football commercial. A one-minute comedy ad costs \$50,000 and a one-minute football ad costs \$100,000. Dorian would like the commercials to be seen by at least 28 million high- income women and at least 24 million high-income men. Use linear programming to determine how Dorian can meet its advertising requirements at minimum cost. Diet Problem

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MGT2251_Linear_Programming_Examples - Linear Programming...

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