[1/7 Points] CAMMIMS16 1.E.D19. Brookyn Cabinets is a manufocturer of kachen cabinets, the two cabinetry styles manulactured by Brookivn are contemporary and farmhouse. Contemporary-style cobinets sail for s1 to and farmhouse-style cabinets seil for s100. Each cabinet produced munt go through carpentry, painting, and finiahing processes. The following table summarises how much tinse in sinch process must be devoted to each style of cabinet. Carpentry costs $15 per heut painting costs $12 per hour, and finishing costs $18 per hour; and the weekly number of hours available in the processes is 2,600 in carpentry, 1,100 in painting, and 1,300 in finishing. Brookiyn also has a contract that requires the company to supply one of its customers with 475 contemporary cabinets and 750 farmhouse. style cabinets eachi neek. Define x and y as fellows. x - the number of contemporary-style cabinets produced each week y = the number of farmhouse-style cabinets produced each week (a) Develap the objective function, assuming that Brooklyn Cabinets wants to marimize the total weekly predit. Max Creck which varlable(s) should be in your answer. (b) Shew the mathematical expression for esch of the constraints on the three precesses: carpentry Enter inequalties using less than (), less than or equal (s), or greater than or equal (2), paintivg. Enter inequaities using less than (c), greater than (x), less than or equal (5); or greater than of equal (). finushing Enter inecualities using less than (), less than or equal (s), or greater than or equal (2), paintivg. Enter inequaities using less than (c), greater than (x), less than or equal (5); or greater than of equal (). finushing Enter inecualities using less than (