solve the linear programming demo problem by hand drawing a graph and finding the optimal solution.

Red & White Pizza Pies, Inc. makes pizza pies in two flavors; regular and white pizza. Each pie uses one portion of dough. Each regular pie has one portion of sauce and one portion of cheese. Each white pizza has no sauce but uses two portions of cheese. A regular pizza contributes $2 to profit while a white pizza contributes $3 to profit. Red & White Pizzas starts out with 4 portions of dough, 3 portions of sauce and 6 portions of cheese available. The company must decide how many pies of each type to make per hour. This is an example of a product mix problem. The firm produces two products: regular pizza and white pizza. The production requirements and profit contributions can be summarized as in the following table: Capacity Profit contribution Dough Sauce Cheese Regular $2/pie 1/pie 1/pie 1/pie White $3/pie 1/pie 4 3 6 2/pie Choose the number of pizzas of each type that will maximize total profit within the production restrictions above