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
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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.
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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.
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x = no. of scarves; y = no. of sweaters:
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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
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The production inequality:
x + y =< 5
y =< -x + 5
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Plot these two inequalities
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your graph should look like this:
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The area of feasibility would be at or below either line, whichever is lower
It's assumed that x and y => 0
