Posted by Dean on .
A company has factories located in New Jersey, Ohio, and Georgia where it manufactures handbags, shoes, and belts. How many days should the company operate each factory in order to exactly fill the order of 2150 handbags, 2300 shoes and 2500 belts? Use the information below.
# of handbags produced per day
New Jersey 10
# of shoes produced per day
New Jersey 20
# of belts produced per day
New Jersey 40
x = number of days to operate NJ
y = number of days to operate OH
z = number of days to operate GA
10x + 70y + 60z = 2150 (Handbags)
20x + 50y + 80z = 2300 (Shoes)
40x + 30y + 90z = 2500 (Belts)
Solve for x, y, and z simultaneously
If you want, post back with your answer and I'll check.