Forged by Fire blacksmiths (commonly known as 'FBF') manufactures three swords: Rapier, Broadsword and Scimitar. There are four stages in the production, and the table below shows the times required in each stage for the three sword types, and the time available for each stage each week.

Stage	Time Required (hours/unit)	Time Available (hours/week)
Rapier	Broadsword	Scimitar
Forging Tempering Sharpening Testing	3 5 2 1	5 4 1 1	7 6 2 1	7500 9800 3500 2000

FBF makes $350 profit on each Rapier sold, $500 on each Broadsword sold, and $640 profit on each Scimitar sold. The problem of maximizing FBF's profit can be expressed as:

Maximize = = 350r, + 500r, + 640r, R.L. Bon + 532 + 753 5 7500 (Forging) 5 + 4.ag + Gir; $ 9800 (Tempering) 2 + 32 + 2ra $ 3500 (Sharpening) in + Dy + I; $ 2000 (Testing) where +1, To, To are the number of Rapiers, Broadswords, and Scimitars respectively. Solving this L. P. using LINDO produces the following output