# Question: a textile company produces shirts and pants each shirt requires...

###### Question details

A textile company produces shirts and pants. Each shirt requires
three square yards of cloth, and each pair of pants requires two
square yards of cloth. During the next two months the following
demands for shirts and pants must be met (on time): month 1, 2000
shirts and 1500 pairs of pants; month 2, 1200 shirts and 1400 pairs
of pants. During each month the follow- ing resources are
available: month 1, 9000 square yards of cloth; month 2, 6000
square yards of cloth. In addition, cloth that is available during
month 1 and is not used can be used during month 2. During each
month it costs $10 to produce an article of clothing with
regular-time labor and $16 with overtime labor. During each month a
total of at most 2400 articles of clothing can be produced with
regular-time labor, and an unlimited number of articles of clothing
can be produced with overtime labor. At the end of each month, a
holding cost of $1 per article of clothing is incurred. (There is
no holding cost for cloth.) a. Determine how to meet
demands for the next two

months (on time) at minimum cost. Assume that 100 shirts and 200
pairs of pants are already in inventory at the beginning of month
1

.