a garment factory produces shirts and pants for kmart chain. the contract is such that
quality control is done before shipping and all products supplied to kmart satisfying the
quality requirements would be accepted by the chain. the factory employs 20 workers
in the cutting department, 52 workers in the sewing department, and 14 workers in the
packaging department. the garment factory works 8 productive hours a day (no idle
time during these 8 hours). there is a daily demand for at most 200 shirts. the demand
for pants is unlimited. each worker can participate only in one activity- the activity to
which they are assigned. the table below gives the time requirements (in minutes) and
profit per unit for the two garments.
amount (minutes) per operation
cutting sewing packaging profit per unit($)
shirts 40 40 20 10
pants 20 100 20 8
a) explain why a linear programming (lp) model would be suitable for this case study.