A manager must make a decision on shipping. There are two shippers: A and B. Both offer a two-day rate: A for $538, and B for $529. In addition, A offers a three-day rate of $472 and a nine-day rate of $406, and B offers a four-day rate of $455 and a seven-day rate of $428. Annual holding costs are 39 percent of unit price. Four hundred and ten boxes are to be shipped, and each box has a price of $156. Which shipping alternative would you recommend

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?