A furniture company 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

hr for fabrication, 1 hr for assembly, and 1 hr for finishing; each model B desk requires

hr for fabrication, 1 hr for assembly, and 1 hr for finishing; each model C desk requires

hr,

hr, and

hr for fabrication, assembly, and finishing, respectively. The profit on each model A desk is $39, the profit on each model B desk is $42, and the profit on each model C desk is $31. The total time available in the fabrication department, the assembly department, and the finishing department in the first month of production is 265 hr, 176 hr, and 160 hr, respectively. To maximize company's profit, how many desks of each model should be made in the month?
__________ units of model A,
__________ units of model B,
__________ units of model C
What is the largest profit the company can realize? $ __________
Are there any resources left over?
__________ hr left over in the fabrication department,
__________ hr left over in the assembly department,
__________ hr left over in the finishing department

Check That the Given Simplex Tableau Is Not in Final

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