A local Gun Store, Clarks Firearms, has a 10,000 sq ft showroom to display 3 different types of firearms:

• Handguns
• Shotguns
• Rifles

Data is displayed in the following table.

Items
	Handguns	Shotguns	Rifles
Annual Demand (In Guns)	1000	750	1350
Cost per Gun	$400	$250	$600

The cost replenish all firearms is $1,100,000. The space consumed by each gun is listed below.

Type of Gun	Space Required per Gun
Handgun	0.5 sq ft
Shotgun	2 sq ft
Rifles	2 sq ft

The annual holding costs is 25%. What are the optimal quantities that should be purchased of each gun? Determine upper and lower bounds on the optimal values of order quantities in this case. Test different values of the LaGrange multiplier to find the optimal values of order quantities.