Unformatted text preview: s no solution, state so; if there are
infinitely many solutions, find any two of them. (You may use a calculator.)
7) x  y + 2z = 2
y  2z = 1
 3x + 5y  10z =  4 1 8) Solve by augmented matrix methods :(You may use a calculator)
x 1  3 x 2  3 x 3 = 13 x 2  4 x 3 = 5
x 1 + x 3 =  4 9) A grain company wants to lease a fleet of 20 railcars with a combined capacity of 108,000 cubic feet. Rail cars with three
different carrying capacities are available: 3,000 cubic feet, 4,500 cubic feet, and 6,000 cubic feet.
a) How many of each type of car should they lease?
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b) The monthly rates for leasing these cars are $180 for 3,000 cubic feet, $225 for 4,500 cubic feet, and $325 for 6,000
cubic feet. Which of the solutions in part (a) would minimize the monthly leasing cost?
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This document was uploaded on 03/12/2014 for the course M 118 at Indiana SE.
 Fall '
 Bonacci
 Math, Addition

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