Rough Stuff makes $2$ products: khaki shorts and khaki pants for men. Each product passes

through the cutting machine area, which is the chief constraint during production. Khaki shorts take $15$

minutes on the cutting machine and have a contribution margin per pair of shorts of $$16.$ Khaki pants take $24$

minutes on the cutting machine and have a contribution margin per pair of pants of $$32.$ If it is assumed that

Rough Stuff has $4,800$ hours available on the cutting machine to service a minimum demand for each product

of $3,000$ units, how much will profits increase if $100$ more hours of machine time can be obtained?