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200- Objective function 180 yen TO E Gupta Furniture manufactures two different types of china cabinets, a French provincial model and a Danish modern model Each cabinet produced must go through three departments carpentry, painting, and finishing The accompanying table contains all relevant information concerning production times per cabinet produced and production capacities for each operation per day, along with net revenue per unit produced the firm has a contract with a Miami distributor to produce a minimum of 250 of each cabinet per week for 50 cabinets per day) Owner Sushil Gupta would like to determine a product mix to maximize his daily revenue Painting Finishing Net Carpentry (hours (hours Revenue Cabinet (hours per per per per Style cabinet) cabinet) cabinet Cabinet French 3 20 Provincial OTO 530 Danish Modern 2 15 U 70 $27 Department capacity 390 300 (hours) 120 100 30 20 126 40 Gh30 100 120 100 an 200 20 (60.10) Let X, number of French Provincial cabinets produced per day.X2 number of Danish Modem cabinets produced each day Le number on rrench Provincial cabinets producea per cay. Az = number of vanish Mogem cabinets produced each day X Obiettive functions Create a set of linear equations to describe the objective function and the constraints @ 100 Objective function Maximize Z-DX, + x Constraints Carpentry xxn N Painting (round your responses for coefficients to one decimal place) x + XD Finishing (round your responses for coeficients to two decimal places) x + x French Provincial cabinet requirement per day 20 400 (150,0) Danish Modern cabinet requirement per day) a Finishing fround your responses for recents to two decimal places | Xi+LIXM French Provincial cabinet requirement (per day Danish Modern cabinet requirement (per day) Non negativity XX, 20 irement constraints by unden for ead, li 2) Using the point drawing tool, plot the $$$ whole numbers The optimal solution it X = 1 and X; -fertery