Use The Simplex Method to solve the linear programming problem.

Johnson Office Furniture is introducing a new line of executive desks made from a specially selected grade of walnut. Three models will be marketed-----A, B, and C. Each model A requires 1.25 hours for fabrication, 1 hour for assembly, and 1 hour for finishing. Each model B requires 1.5 hours for fabrication, 1 hour for assembly, and 1 hour for finishing. Each model C requires 1.5 hours for fabrication, 0.75 hour for assembly, and 0.5 hour for finishing. The profit on each model A is $26, model B is $28, and model C is $24. The total time available for fabrication is 310 hours, in assembly is 205 hours, and in finishing is 190 hours. How many desks must be sold in the month in order to maximize profits? What is the maximum profit? Are there any resources left over?