A children clothing manufacturer has 500 yards of material to make shirts and skirts. A shirt requires 0.5 yards of fabric, and a skirt requires 1 yard of fabric. It takes 1 hour to make a shirt and 1.5 hours to make a skirt. The manufacture has 800 hours available to make shirts and skirts.

C) x ≥ 0 and y ≥ 0

0.5x + y ≤ 500

x + 1.5y ≤ 800

Step-by-step explanation:

A children clothing manufacturer has 500 yards of material to make shirts and skirts. A shirt requires 0.5 yards of fabric, and a skirt requires 1 yard of fabric. It takes 1 hour to make a shirt and 1.5 hours to make a skirt. The manufacture has 800 hours available to make shirts and skirts.

Which system of inequalities represent the constraints for this situation? Let x = number of shirts, and let y = number of skirts.

A) x ≤ 0 and y ≤ 0

0.5x + y ≤ 800

x + 1.5y ≤ 500

B) x ≤ 0 and y ≤ 0

0.5x + y ≥ 800

x + 1.5y ≥ 500

C) x ≥ 0 and y ≥ 0

0.5x + y ≤ 500

x + 1.5y ≤ 800

D) x ≥ 0 and y ≥ 0

0.5x + y ≥ 500

x + 1.5y ≥ 800

number of shirts,x and number of skirts,y must be greater than 0 since it can not be a negative value

x ≥ 0 ; y ≥ 0

Inequality for number of yards

x = 0.5 yards ; y = 1 yard

Total yards = 500

The inequality is

0.5x + y ≤ 500

Inequality for hours of production

x = 1 hour ; y = 1.5 hours

Total available hours for production = 800

The inequality is

x + 1.5y ≤ 800

Therefore, the system of inequalities which represent the constraints for this situation is

x ≥ 0 ; y ≥ 0

0.5x + y ≤ 500

x + 1.5y ≤ 800

idk

step-by-step explanation:

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.