Posted by **Brenda** on Thursday, January 31, 2008 at 3:30pm.

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

- inequalities -
**Miley**, Thursday, January 31, 2008 at 4:48pm
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!

- inequalities -
**drwls**, Thursday, January 31, 2008 at 4:58pm
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.

- inequalities -
**Janelle**, Thursday, February 14, 2008 at 8:23pm
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.

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