Page 181 #29(Graphical solutions of linear programming problems)Manufacturing-production scheduling A company manufactures two products. A and B on two machines, I and II. It has been determined that the company will realize aprofit of $3 unit of product A and a profit of $4/ unit of product. To manufacture a unit of product A requires 6 min on machine I and 5 min on machine II. Tomanufacture a unit of product B requires 9 min on machine I and 4 min on machine II. There are 5hr of machine time available on machine I and 3hr of machine timeavailable on machine II in each work shift. How many units of each product should be produced in each shift to maximize the company’s profit? What is the optimalprofit?