a jewelry shop is looking for more inventory. One of their vendors charges $80 for a necklace and $120 for a pair of earrings

The shop can buy between 20 and 90 necklaces, inclusive, but up to 100 pairs of earrings

Let x = # of necklaces
Let y = # of earrings

The vendor can supply anywhere between 50 and 120 total pieces, inclusive, but requires that the number of earrings ordered be at least half the number of necklaces.

The shop has already invested a lot in other merchandise this season and wants to invest the minimum feasible amount in this vendor’s products. How many of each kind should the story buy? What is their minimum feasible investment?

Looking for Constraints, Feasible Region, Function, and Vertices.