Question

Systems of Linear Equations and Inequalities - Part 1 Item 2 A company makes chairs, loungers, and footstools. Each item uses units of wood, fabric, and stuffing. Which three equations are needed to find the largest number of x chairs, y loungers, and z footstools that can be made?

a. 30x + 25y + 20z = 1,380
b. 30x + 15y + 5z = 890
c. 10x + 10y + 5z = 450
d. All of the above

Answer 1

To find the largest number of chairs, loungers, and footstools that can be made, we need to set up a system of linear equations based on the given information.

Step-by-step explanation:

To find the largest number of chairs, loungers, and footstools that can be made, we need to set up a system of linear equations based on the given information. Each chair requires a certain number of units of wood, fabric, and stuffing. Let's represent the number of chairs as x, the number of loungers as y, and the number of footstools as z. The three equations needed to find the largest number of x chairs, y loungers, and z footstools are:

30x + 25y + 20z = 1,380

30x + 15y + 5z = 890

10x + 10y + 5z = 450