Better ProductsI Inc.I manufactures three products on two machines. In a typical week, 40 hours are available on each machine. The prot contribution and production time in hours per unit are as follows: Categorwr Product 1 Product 2 ProductB Protfunit $39 $51 $18 Machine 1 timefunit 0.5 1.5 1 Machine 2 timefunit 1 2.5 1 Two operators are required for machine 1; thus, 2 hours of labor must be scheduled for each hour of machine 1 time. (illnh;r one operator is required for machine 2. A maximum of 90 laborhours is available for assignment to the machines during the coming week. Other production requirements are that product 1 cannot account for more than 50% of the units produced and that product 3 must account for at least 10% of the units produced. a. How man's:r units of each product should be produced to maximize the total prot contribution? If required, round your answers to the nearest whole number. If your answer is zero. enter'". 'mm what is the projected weekly prot associated with your solution? mm C b. How man'lur hours of production time will be scheduled on each machine