MAT183-2007Fall

# MAT183-2007Fall - M AT183, K leiner, F inal E...

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MAT183, Kleiner, Final EXaminatio0eeember 12,2007 Print name: Show your work. This is a 120-min exam with 11 problems on 14 pages worth 120 points. Check that you have a complete exam. Problem 1 Problem 5 Problem 9 Problem 2 Problem 6 Problem 10 Problem 3 Problem 7 Problem 11 Problem 4 Problem 8 Total 1 Total 2 Total 3 Overall total Do NOT write on this page

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1. (5 points) Do by hand. Find the matrix of the following system of linear equations and, using the Gaussian elimination method, bring it to its reduced row echelon form. For every step, indicate what elementary row operation you use. Do not solve the system. -3y-9z = -6; x + 2y - z == -7. (b) (5 points) The matrix of a system of linear equations was transformed by the Gaussian elimination method to the following form. Find the general solution of the system and express your answer as a complete sentence. 1 5 0 -6] o 0 1 -8 [ o 0 0 0 2
2. A conglomerate has three divisions, which produce wires, instruments, and telephones. For each \$1 worth of output, the wire division needs \$.09 worth of wires, \$.29 worth of instruments, and \$.11 worth of telephones. For each \$1 of output, the instrument division needs \$.27 worth of wires, \$.25 worth of instruments, and \$.13 worth of telephones. For each \$1 of output, the telephone division needs \$.21 worth of wires. \$.43 worth of instruments, and \$.18 worth of telephones. How much should the wire, instrument, and telephone divisions produce to meet a demand for 8 million

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## This note was uploaded on 01/14/2012 for the course MAT 183 taught by Professor Doerr during the Fall '08 term at Syracuse.

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MAT183-2007Fall - M AT183, K leiner, F inal E...

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