Mr$.$ Smith has a leather factory that makes the following apparel accessory leather wallet, leather belt, and lady leather hand bag that uses similar components. Leather wallet can be sold for about $$20$; leather belt can be sold for about $$59$; and lady leather hand bag can be sold for $$220.$ The requirement for each product is listed as follows:

Product Leather $($sq$.$ Inches$)$ Glue $($oz$)$ Leather Thread $($inch$)$ Connect Clip

Wallet $202300$

Belt $755801$

Lady Hand Bag $22531204$

Ms$.$ Smith has $40,000$ square feet of leather at a cost of $$20$ each square feet, $20$ pound of leather glue $$10$ per pound, $500$ feet of leather thread at $$0\mathrm{.}89$ per feet, and $500$ connect clips at $$6$ each. Mr$.$ Smith has a contract for $100$ leather wallet, $20$ leather belt, and $2$ lady leather hand bag that he must meet. How should Mr$.$ Smith manage this production to maximize the profit?