The Gutchi Company manufactures purses, shaving bags, and backpacks. The construction includes leather and synthetics, leather being the scarce raw material. The production process requires two types of skilled labor: sewing and finishing. The following table gives the availability of the resources, their usage by the three products, and the profits per unit. $(30$ points$)$

$\backslash$table$[[$Resource$,$Resource requirements per unit,Daily availability,$],[,$Purse,Bag,$],[$Leather $(f{t}^2),1,2,3,42f{t}^2$