better products, inc., manufactures three products on two machines. in a typical week, 40 hours are available on each machine. the profit contribution and production time in hours per unit are as follows: two operators are required for machine 1; thus, 2 hours of labor must be scheduled for each hour of machine 1 time. only one operator is required for machine 2. a maximum of 100 labor-hours 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 20% of the units produced. how many units of each product should be produced to maximize the total profit contribution? product