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Lab #4 – Chapter 6 – Applications of Matrices
Read each problem carefully and show your work!
Write neatly and in pencil.
Problem #1
The Collin Freight Company has an order for three products to be delivered to a
destination.
Product I requires 10 cubic feet, weighs 10 pounds, and has a value
of $100.
Product II requires 8 cubic feet, weighs 20 pounds, and has a value of $20.
Product III requires 20 cubic feet, weighs 40 pounds, and has a value of $200.
If the
carrier can carry a total of 6,000 cubic feet, 11,000 pounds, and is insured for $36,900,
how many of each product can be carried?
a)
Fill out the following table from the information given:
Product
I
Product II
Product III
Total
Volume (cu.ft)
Weight (lb)
Value ($)
b)
Let x = the amount of Product I that can be carried,
y = the amount of Product II that can be carried, and
z = the amount of Product III that can be carried.
Write the system of equations to be solved.
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This note was uploaded on 01/06/2012 for the course MATH 1314 taught by Professor Lisajuliano during the Spring '12 term at Collins.
 Spring '12
 LisaJuliano
 Matrices

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