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 available in each department per day. Department Total Cutting Drilling Packaging Product Bookshelf Desk 2.5 1.8 0.9 1200 1000 560 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. Cutting From Department Cutting Drilling Packaging To Department Drilling Yes Packaging Yes Maximum Labor Hours Transferable 200 150 100 Yes Yes You are required to formulate a linear programming model to maximize the total contribution to fixed cost and profit. 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:
a. 2.5X1 +2.2x25 1200
b. 2.5X1 +2.2x2 - t12-13 +215 1200
c. 2.5X1 +2.2X2 + 12 + 13-1215 1200
d. 2.5X1 +2.2X2 + +12 +11351200
e. none of the above"