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System of inequalities considering a small home-based company

A small home-based company produces both hand-painted 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.

Solution Summary

The solution first set up the system of inequalities for a small home-based company produces both hand-painted scarves and sweaters. It also shows how to graph this system of inequalities.

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