C& a printing takes 10 seconds to print a page in color, but after 500 pages, the printer must be cooled down for 15 minutes. no pages can be printed while the printer is cooling down. c& a's demand rate is 3 pages per minute. what is the smallest batch size to ensure the process is demand-constrained?

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?