posted by Brenda on .
A home-based company produces both hand-knitted scarves and sweaters.
please help please
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
Make scarves =x and sweaters = y.
2x + 14y <(or equal to) 40.
I think that's one of the constraints but I'm not sure how to get the other one.
I don't think my answer is right though!
2x + 14y </= 40
You can also write that as
x + 7y </= 20
x + y <= 5
Draw both of these straight lines:
y = 20/7 - x/7
y = 5-x
Then find the region of the graph that lies below BOTH lines, AND for which both x and y are zero or positive. It is a quadrilateral with a right-angle corner at the origin. We cannot draw graphs for you here.
I'm stuck on this 1 math problem. I've tried many ways to figure it out, but I can't. The problem is; 2(3x-5)>2x+6.