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160s10spec1 - Math 160 Special Assignment#1 Lowman Spring...

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Math 160 Special Assignment #1 Lowman Spring 2010 Due Thursday, Feb 11 in discussion time Calculators can be used to do matrix calculations only where specified. Otherwise, all cal- culations must be done by hand and you must show all work. When using elementary row operations, you must show your work using the same method that was used in lectures (see web notes). 1. Use the graphical method to solve the linear programming problem. You must graph the area of feasible solutions then list all corner points and z values in a table. Show all work. Maximize z = 6 x + 5 y Subject to 3 x + 2 y 120 4 x + 6 y 260 x, y 0 2. Use the graphical method to solve the linear programming problem. A truck traveling from New York to Baltimore is to be loaded with two types of cargo. Each crate of cargo A is 8 cubic feet in volume, weighs 100 pounds, and earns $10 for the driver. Each crate of cargo B is 4 cubic feet in volume, weighs 200 pounds, and earns $12 for the driver. The truck can carry no more than 400 cubic feet of crates and no more than 10 , 000 pounds. Also, the number of crates of cargo A must be less than or equal to twice the number of crates of cargo B. Maximize drivers earnings subject to constraints.
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