Question

Formulate the situation in matrix form. Be sure to indicate the meaning of your rows and columns. Find the requested quantities using the appropriate matrix arithmetic.

A sports apparel company manufactures shorts, tee shirts, and caps in Costa Rica and Honduras for importation and sale in the United States. In Costa Rica the labor costs per item are 60¢ per pair of shorts, 20¢ per tee shirt, and 50¢ per cap, while the costs of the necessary materials are $1.70 per pair of shorts, 95¢ per tee shirt, and $1.20 per cap. In Honduras the labor costs per item are 75¢ per pair of shorts, 15¢ per tee shirt, and 45¢ per cap, while the costs of the necessary materials are $1.50 per pair of shorts, 75¢ per tee shirt, and $1.05 per cap. Represent these costs as a labor cost matrix L and a materials cost matrix M. Use these matrices to find the total cost matrix C for these products in these countries. (Let the first row represent the cost, in pennies, in Costa Rica and the second row represent the cost, in pennies, in Honduras.)

shorts

tee shirt

cap

L= _____ ______ _____

_____ ______ ______

M= _____ ______ ______

_____ ______ ______

C= _____ ______ ______

_____ ______ _______

Answer 1