FINITE MATHEMATICS
FOR THE SOCIAL AND MANAGEMENT SCIENCES
Math 5112
Fall 2003
FINAL EXAM
There are 7 questions in all; together they are worth 110%.
Write your
solutions in the blue books provided (not on this handout).
1. Clearly
state
(without solving) the mathematical problems that you would need to
solve in order to answer the following questions:
(a) A firm manufactures three types of coats: small, medium, and large.
Each
small coat takes 2 hours to cut, 1 hour to trim, and 1 hour to assemble. Each
medium coat takes 2 hours to cut, 2 hours to trim, and 1 hour to assemble.
Each large coat takes 4 hours to cut, 4 hours to trim, and 2 hours to assemble.
Records show that the firm spent a total of 1200 hours last week on cutting,
900 hours on trimming, and 700 hours on assembling. How many coats of each
size did the firm manafacture last week?
(b) A firm manufactures three types of coats: small, medium, and large.
Each
small coat takes 2 hours to cut, 1 hour to trim, and 1 hour to assemble. Each
medium coat takes 2 hours to cut, 2 hours to trim, and 1 hour to assemble.
Each large coat takes 4 hours to cut, 4 hours to trim, and 2 hours to assemble.
There is a total of 1500 hours available for cutting, 1000 hours for trimming,
and 750 hours for assembling, and the firm’s storage facilities do not allow it to
manafacture more than 500 coats each week. If the firm makes a profit of $30
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 Fall '07
 Moses
 Math, Linear Programming, $50, Simplex algorithm, AU, $30

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