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 6,000 cubic feet, 11,000 pounds, and is insured for $36,900, how many of each product can be carried? a. Identify the variables of the problem using x, y and z. b. Fill out the following table from the information given: total Volume (cu. ft.) Weight (lb.) Value ($) c. Write the augmented matrix for the system of equations. d. Solve the system of equations using Gauss-Jordan Elimination.
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 6,000 cubic feet, 11,000 pounds, and is insured for $36,900, how
many of each product can be carried?
a. Identify the variables of the problem using x, y and z.
b. Fill out the following table from the information given:
total
Volume (cu. ft.)
Weight (lb.)
Value ($)
c. Write the augmented matrix for the system of equations.
d. Solve the system of equations using Gauss-Jordan Elimination.
e. In at least one complete sentence, answer the question: How many of each product
can be carried?
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