Rich is the highest-paid quarterback in the league, at $5 million per season. Rich is an eight-year pro and has yet to reach the playoffs. Rich's hometown team, the Whalers, are interested in him. If the Whalers sign Rich for $2.5 million per year, how much is the annual "hometown discount" that the Whalers will receive?

Acompany manufactures x units of product a and y units of product b, on two machines, i and ii. it has been determined that the company will realize a profit of $3 on each unit of product a and $4 on each unit of product b. to manufacture a unit of product a requires 7 min on machine i and 5 min on machine ii. to manufacture a unit of product b requires 8 min on mchine i and 5 min on machine ii. there are 175 min available on machine i and 125 min available on machine ii in each work shift. how many units of a product should be produced in each shift to maximize the company's profit p?