Write a system of linear equations in three or four variables to solve Exercises 47–50. Then use matrices to solve the system.

A furniture company produces three types of desks: a children’s model, an office model, and a deluxe model. Each desk is manufactured in three stages: cutting, construction, and finishing. The time requirements for each model and manufacturing stage are given in the following table.

Each week the company has available a maximum of 100 hours for cutting, 100 hours for construction, and 65 hours for finishing. If all available time must be used, how many of each type of desk should be produced each week?

Transcribed Image Text:

Cutting Construction Finishing Children's Model 2 hr 2 hr 1 hr Office Model 3 hr 1 hr 1 hr Deluxe Model 2 hr 3 hr 2 hr