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?