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4. Suppose a bakery makes only the finest cookies and cakes. The bakery has three main divisions that make up the total process of creating these fine confections: baking, frosting, packaging. The bakers go through the process of mixing the ingredients to putting the batter and dough into the ovens to bake. They have three full time bakers that can work a combined total of up to 120 hours a week. Then these items get frosted by two expert pastry chefs who can work a combined total of up to 70 hours per week. The final stage of these finished products is the packaging and distributing of the items, which has a team of employees that can work a combined total of up to 100 hours per week JTo make a batch of cookies, it takes a half hour to go from scratch to the baking stage, a quarter hour for frosting, and another half hour for packaging. Each batch of cookies produces a profit of $20. To make a single cake, it takes three quarters of an hour to go from scratch to being baked, a half hour for frosting, and a quarter of an hour for packaging. Each cake produces a profit of $25. Assume that all items created in the bakery are sold. How many batches of cookies and cakes should the bakery create to maximize their weekly profit? Set up and go through the Simplex method to determine the maximum profit

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