Men's shirts
Women's blouses
Minutes per garment
Cutting Sewing Packaging
30
60
80
60
12
4
The maximum number of labor hours available per day at Shirts Happen are 25 hours for
cutting, 35 hours for sewing, and 5 hours for packaging.
1. Let z represent the number of men's shirts produced per day by the Shirts Happen Clothing
Company, and let y represent the number of women's blouses produced per day. Write a
system of five linear inequalities involving z and y that, when solved, give the set of all
ordered pairs (z,y) of number of men's shirts and number of women's blouses that Shirts
Happen can produce per day, given the constraints above. Next to each inequality, write a
brief description or interpretation of its meaning.
2. Carefully graph the system of linear inequalities on a separate sheet of graph paper and then
shade the feasible region. Is it bounded or unbounded? Identify and label on your graph the
coordinates of each of the corner points. Attach the graph along with your work.
3. For each of the following solutions, determine whether or not it is a feasible solution to the
Shirts Happen Clothing Company problem: Show your work and explain your reasoning.
(a). 5 men's shirts per day, 20 women's blouses per day
(b). 25 men's shirts per day, 25 women's blouses per day
(c). 0 men's shirts per day, 0 women's blouses per day