2-firm manufacturing office furniture provides you the following information regarding resource consumption and availability and profit contribution. \table[[Resources,Usage per unit,Availability],[Tables,Chairs,Book-Case],[Timber (cu. ft.),8,4,3,640],[Assembly dept. (man-hours),4,6,2,540],[Finishing Dept. (man-hours),1,1,1,100],[Profit contribution per unit (?),30,20,12,]] The firm wants to determine its optimal product mix. Formulate the LPP and solve with the Simplex method. Find the optimal product mix and the total maximum profit contribution.