Question

Set up the system of equations and then solve it by using an inverse matrix.

A manufacturer of table saws has three models (Deluxe, Premium, and Ultimate) that must be painted, assembled, and packaged for shipping. The table gives the number of hours required for each of these operations for each type of table saw.

	Deluxe	Premium	Ultimate
Painting	1.6	2	2.4
Assembly	2	3	4
Packaging	0.5	0.5	1

(a) If the manufacturer has 96 hours available per day for painting, 154 hours for assembly, and 37 hours for packaging, how many of each type of saw can be produced each day?

Deluxe	saws
Premium	saws
Ultimate	saws

(b) If 8 more hours of painting time become available, find the new production strategy.

Deluxe	saws
Premium	saws
Ultimate	saws

Answer 1