Create a new sheet called "Toy Analysis" and solve the following linear programming problem: $[20$pts$]$

A store sells two types of toys, A and B$.$ The store owner pays $8$$ and $14$$ for each one unit of toy A and B respectively. One unit of toys A yields a profit of$2$$ and one unit of toys B yields a profit of $3$$$.$ The store owner estimates that no more than $2000$ toys will be sold every month, and he does not plan to invest more than $$20,000$ in inventory of these toys. How many units of each type of toys should be stocked to maximize his monthly total profit?