objective function? subject to? optimum function? and plot the corner points of the feasible area

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 300 of each cabinet per week for 60 cabinets per day). Owner Sushil Gupta would like to determine a product mix to maximize his daily revenue. Net Revenue per Cabinet Cabinet Style Painting Finishing Carpentry (hours (hours (hours per per per cabinet) cabinet) cabinet) 1 3 3 1 2 4 3 2 1 4 French Provincial $28 Danish Modern $25 Department capacity (hours) 360 200 125 nhinnto nondiinad nor do v - niimhor of Naninh Madarn mohinata nende Let X = number of French Provincial cabinets produced per day, X = number of Danish Modern cabinets produced each day. Create a set of linear equations to describe the objective function and the constraints. Objective function: Maximize z = x+xz