Incline electronics produces three different products in a plant that is open 40 hours per week. each product requires the following processing times (in hours) on each of three machines. each machine must be run by one of 19 cross-trained workers who are each available 35 hours per week. the plant has 10 type 1 machines available, 6 type 2 machines available, and 8 type 3 machines available. products 1, 2, and 3 contribute $90, $120, and $150, respectively, in marginal profit per unit produced. a. select the correct lp model for this problem. let p1 represent units of product 1 to make. let p2 represent units of product 2 to make. let p3 represent units of product 3 to make. i max 90p1 120p2 150p3 st 2p1 2p2 1p3 ≤ 240 3p1 4p2 6p3 ≤ 400 4p1 6p2 5p3 ≤ 320 9p1 12p2 12p3 ≤ 665 pi ≥ 0 ii min 90p1 120p2 150p3 st 2p1 2p2 1p3 ≤ 240 3p1 4p2 6p3 ≤ 320 4p1 6p2 5p3 ≤ 400 9p1 12p2 12p3 ≤ 665 pi > 0 iii min 90p1 120p2 150p3 st 2p1 2p2 1p3 ≥ 400 3p1 4p2 6p3 ≥ 665 4p1 6p2 5p3 ≥ 320 9p1 12p2 12p3 ≥ 240 pi > 0 iv max 90p1 120p2 150p3 st 2p1 2p2 1p3 ≤ 400 3p1 4p2 6p3 ≤ 240 4p1 6p2 5p3 ≤ 320 9p1 12p2 12p3 ≤ 665 pi ≥ 0 b. implement your model in a spreadsheet and solve it. how many units for each product should incline electronics produce