SOLUTION: help please if you could show me what formula to use it would be easier for me to understand how to read story problems Thank You. The directions are to write a system of inequalit

Question 81595: help please if you could show me what formula to use it would be easier for me to understand how to read story problems Thank You. The directions are to 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:
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 times per week.
Answer by ankor@dixie-net.com(22740) (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.
:
x = no. of scarves; y = no. of sweaters:
:
The labor inequality:
2x + 14y =< 40
Arrange in the general (y=) form so we can graph it:
14y =< - 2x + 40
y =< -(2/14)x + (40/14)
y =< -(1/7)x + 20/7
:
The production inequality:
x + y =< 5
y =< -x + 5
:
Plot these two inequalities
:
your graph should look like this:

:
The area of feasibility would be at or below either line, whichever is lower
It's assumed that x and y => 0

RELATED QUESTIONS
I am having a lot of problems understanding how this works as I've tried to understand it (answered by stanbon)

hi, i'm having trouble with one specific problem which you use "substitution" in order to (answered by stanbon)

This is my child's homework. Would appreciate your help. They use proportions to solve... (answered by math_helper,josgarithmetic)

How would I graph these equations: (a) y = x + 3 (b) y = -1/3x (c) y = 1/3x (d) y = 3x??... (answered by ankor@dixie-net.com)

The formula d = r x t is used to determine distance, d given the rate, r, and the time... (answered by nerdybill)

Hi there! I was wondering if you could help me by factoring trinomials using... (answered by Seutip)

Sin θ=4/5, cos θ=-3/5 I need to find θ but I don't understand how to solve for it. If (answered by MathLover1)

I am working on my math packet for school. I came across a section in it, in which i... (answered by Theo)