Help me I have the answer as =>2x+14y<=40 >=x+y <=5?
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.
In your question, x is the number of scarves and y is the number of sweaters.
It takes 2 hrs to knit a scarf and 14 hrs to knit a sweater. hrs required to knit x scarves is 2x and hrs required to knit y sweaters is 14y. But the maximum labour hrs available per week are 40.
therefore 2x + 14y can be 40 at the maximum
or 2x + 14y <= 40
and also total items produced are x scarves and y sweater.
but the capacity to produce is 5 items
therefore x + y <= 5
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