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Lab4 Ch6 (F11)

# Lab4 Ch6 (F11) - Name Lab#4 Chapter 6 Applications of...

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Name _______________________________ 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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c) Write the augmented matrix for the system of equations and solve using Gaussian Elimination. Show your work!
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