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Use the followmg' data for problems 3-6 Tucker Inc. produces high-quality suits and sport coats for men. Each item requires cutting time, sewing time, and material. The relevant information is in the table below. 61.1.11... Product .ours nours = s s Iuanti -- _'_II--_ Available Resources _-_ Added hourl cost ofovertime $ _-_ Marketing requirements specify at least 100 suits and 75 sport coats to be made (shown in table). Additional cutting and sewing time can be obtained by scheduling overtime for these operations. A maximum of 100 hours of overtime can be scheduled. Each hour of overtime for the cutting operation increases the hourly cost by $15, and each hour of overtime for the sowing operation increases the hourly cost by $10. We must decide how many suits (X1) and how many sport coats (X2) to make and also how many cutting overtime hours (D1) and how many sewing overtime hours (D2) to schedule so that prot is maximized. Which of the following is the objective mction in the LP formulation for this problem? Maximize: 15X1+10X2+D1+D2 Maximize: 190 X1 + 150X2 + 15D1+ 10D2 Maximize: 190 X1 + 150 Xz 15D110D2 Maximize: 200 X1 + 180X2 -15D110D2 50?w Which of the following is the constraint for setting a limit on cutting hours? 1.2 X1 + 0.8 X2 5200 1.2 X1 +0.8X2D13200 1.2X1+0.8X2+D15200 1.2 X1 + 0.8 X2 15D1 5 200 UOP?$ Which of the following is the constraint for setting a lthour limit on overtime hours? D1 + D2 5 100 15D1+10D2 5100 D1 + D2 + zoo 2 100 15D1 + 10D22 100 50?w Formulate a linear programming model for this problem and solve to report optimal solution . Z = $44,400. Solution for decision variables: X1 = 0, X2 = 300, D1 = 40, D2 = 0 Z = $40,900. Solution for decision variables: X1 = 100, X2 = 150, D1 = 40, D2= 0 Z = $34,000. Solution for decision variables: X1 = 100, X2 = 100, D1 = 0, D2 = 0 . Z = $52,200. Solution for decision variables: X1 = 150, X2 = 120, D1 = 0, D2 = 0| UOFU>&gt