Mat 150 – Class #27

Topics:. Real-World Systems of Linear Equations in Three Variables

Investment (pg. 506 #30)

A trust account manager has $500,000 to pay 8%, 10%, and 14% respectively, and the goal is to earn $49,000, with the amount invested at 8% equal to the sum of the other two investments. To accomplish this, assume that x dollars are invested at 8%, y dollars are invested at 10% and z dollars are invested at 14%.

a. Write an equation that describes the sum of money in the three investments.

b. Write an equation that describes the total amount of money earned by the three investments.

c. Write an equation that describes the relationship among the three investments.

d. Solve the system of equations to find how much should be invested in each account to satisfy the conditions.

Transportation (Pg. 507 #33)

Ace Trucking Company has an order for delivery of three products, A, B, and C. The table below gives the volume in cubic feet, the weight in pounds, and the value for insurance in dollars for a unit of each of the products. If the carrier can carry 8,000 cubic feet and 12,400 pounds and is insured for $52,600, how many units of each product can be carried?

Product A Product B Product C

Volume (cu ft) 24 20 40

Weight (lb) 40 30 60

Value ($) 150 180 200

Assignment

Pg. 506-507

#27, 32, 34, 35