solve by simplex method of linear programming problem Also show initial simplex table iteration table

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. \begin{tabular}{lcccc} \hline & \multicolumn{2}{c}{ Resource requirements per unit } & \\ \cline { 2 - 5 } Resource & Purse & Bag & Backpack & Daily availability \\ \hline Leather (ft2 ) & 2 & 1 & 3 & 42ft2 \\ Sewing (hr) & 2 & 1 & 2 & 40hr \\ Finishing (hr) & 1 & 5 & 1 & 45hr \\ \hline Selling price (\$) & 24 & 22 & 45 & \\ \hline \end{tabular}