After years of great success in his business, Geppetto has wanted to pursue his dream of creating a hand$-$carved marionette. For his ${70}^{th}$ birthday, four young fashion designers initiated a micro project to encourage Geppetto. In the project, designers will create four different items for the masterpiece: a pair of shoes, a hat, shirts, and shorts. Due to the time limit$,$ each person will create only one item. Each designer has a different specialty, so the estimated quality varies by designer.

$\backslash$table$[[,$Estimated Quality $($out of $100)],[$Designer$,$Shoes,Hat,Shirts,Shorts$],[$Coco$,90,99,92,94],[$Jil$,92,87,97,95],[$Alexander$,97,88,96,90],[$Christian$,99,90,87,92]]$

Formulate a Linear Programming model that maximizes total quality.