Use the following scenario and data for questions 31 to 40 : Joe's Furniture, LLC, manufactures both press wood bookshelves and desks. Management wants to develop a linear programming model to determine the numbers of bookshelves and desks to better utilize the labor resources. The contributions to fixed cost and profit each bookshelf and each desk are $11 and $13, respectively. The following table gives labor requirements in the Cutting, Drilling and Packaging departments, as well as the total number of labor hours 7 Qvailable in each department per day. Suppose some workers in the three departments are cross-trained and can be transferred from one department to another. The permitted transfers and the maximum labor hours transferable from each department are listed in the following table. 20 You are required to formulate a linear programming model to maximize the total contribution to fixed cost and profit. The correct objective function is min11x1+13x2max11x1+13x2max11x1+13x2+t12+t13+t22+t23+t32min11x1+13x2+t12+t13+t22+t23+t32 none of the above The correct constraint restricting the use of labor hours in cutting not to be more than the availability considering the labor transfers among different departments is 2.5x1+2.2x212002.5x1+2.2x2t12t13+t2112002.5x1+2.2x2+t12+t13t2112002.5x1+2.2x2+t12+t131200 none of the above The correct constraint restricting the use of labor hours in drilling not to be more than the availability considering the labor transfers among different departments is 1.8x1+1.4x210001.8x1+1.4x2t23+t2110001.8x1+1.4x2+t12+t21t23+t3210001.8x1+1.4x2t12+t21+t23t321000 none of the above The correct constraint restricting the use of labor hours in packaging not to be more than the availability considering the labor transfers among different departments is 0.9x1+1.2x25600.9x1+1.2x2+t13+t23t325600.9x1+1.2x2t13+t23+t325600.9x1+1.2x2t13+t23t32560 none of the above The correct constraint restricting the labor hours transferring out from cutting not to be more than the availability is 2.5x1+2.2x21200t12+t13200t21+t23200t12+t13t21200 none of the above The correct constraint restricting the labor hours transferring out from drilling not to be more than the availability is 1.8x1+1.4x21000t12+t21150t12+t21t23+t32150t21+t23150 none of the above The correct constraint restricting the labor hours transferring out from packaging not to be more than the availability is 0.9x1+1.2x2560t32100t13t23+t32100t13+t23t32100 none of the above The restrictions x1,x20 and t12,t13,t21,t23,t320 in the model means Each decision variable must be positive in the optimal solution. Each decision variable must be nonnegative in the optimal solution. x1,x20 and t12,t13,t21,t23,t320 All of the above. None of the above