<PRE><B>Question 78075</B>
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. 
:
x = no. of scarves; y = no. of sweaters:
:
The labor inequality:
2x + 14y =&lt; 40
:
Arrange in the y = mx + b, form:
14y =&lt; 40 - 2x
y =&lt; (40/14) - (2/14)x
y =&lt; -(1/7)x + (20/7)
:
The production inequality:
x + y =&lt; 5
y =&lt; -x + 5
:


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