A leather shop makes custom-designed hand tooled briefcases and luggage. The shop Make $400 profit from each briefcase and $200 profit for each luggage. The shop has a contract to provide up to a total of 30 products to a store per month. A tannery supplies the shop with at leas 80 square meters of leather per month. The shop must purchase at least this amount but can order more. Each briefcase requires 2 square metres of leather, each luggage requires 8 square meters of leather. From past performance, the shop owners know they cannot make more than 20 briefcases per month.
Formulate a LP model to help shop maximize profit.