SOLUTION: A home-based company produces both hand-knitted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours. The labor available is limited

Algebra ->  Graphs -> SOLUTION: A home-based company produces both hand-knitted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours. The labor available is limited      Log On


   

Question 111440: A home-based company produces both hand-knitted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours. The labor available is limited to 40 hours per week, and the total production capacity is 5 items per week. Write a system of inequalities representing this situation, where x is the number of scarves and y is the number of sweaters. Then graph the system of inequalities.
Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
A home-based company produces both hand-knitted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours. The labor available is limited to 40 hours per week, and the total production capacity is 5 items per week. Write a system of inequalities representing this situation, where x is the number of scarves and y is the number of sweaters. Then graph the system of inequalities.
==============================================
scarves = 2x
sweaters = 14y
=======================
2x%2B14y%3C=40
x%2By%3C=5
When you graph, the line will be sold, and shade the area below the lines
:)
graph+%28500%2C500%2C+-20%2C20%2C-20%2C20%2C+%281%2F7%29x%2B%2820%2F7%29%2C+-x%2B5%29