Smith's, a clothing manufacturer in Niagara, New York that produces men's shirts and pajamas, has

two (2) primary resources available: sewing-machine time (in the sewing department) and cuttingmachine time (in the cutting department). Over the next month, owner Barbara Smith can schedule up

to 280 hours of work on sewing machines and up to 450 hours of work on cutting machines. Each shirt

produced requires 1.00 hour of sewing time and 1.50 hours of cutting time. Producing each pair of

pajamas requires 0.75 hours of sewing time and 2 hours of cutting time.

Smith's accounting department analyzes cost and sales figures and states that each shirt produced will

yield a $4 contribution to profit and that each pair of pajamas will yield a $3 contribution to profit.

Create linear programming model for the Smith's.