Custom Office Furniture is introducing a new line of executive desks made from a specially selected grade of walnut. Initially, three models- A, B, and C- are to be marketed. Each model A desk requires 1 1/4 hr for fabrication, 1 hr for assembly, and 1 hr for finishing; each model B requires 1 1/2 for fabrication, 1 hr for assembly, and 1 hr for finishing; each model C requires 1 1/2 hr for fabrication, 3/4 hr for assembly, and 1/2 hr for finishing. The profit on each model A desk is $26, the profit on each model B desk is $28 and the profit on each model C desk is $24. The total time available in the fabrication department, the assembly department, and the finishing department in the first month of production is 310 hr, 205 hr, and 190 hr respectively. To maximize Custom's profit, how many of each model should be made in the month? What is the largest profit the company can realize?
Let x= y= z= objective function: and final solution.