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?