5. (15 points) A patisserie sells two kinds of cakes, a chocolate cake and an orange cake. One chocolate requires 1 cup

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5 15 Points A Patisserie Sells Two Kinds Of Cakes A Chocolate Cake And An Orange Cake One Chocolate Requires 1 Cup 1 (19.89 KiB) Viewed 20 times

5. (15 points) A patisserie sells two kinds of cakes, a chocolate cake and an orange cake. One chocolate requires 1 cup of flour, 2 cups of sugar, and 1 cup of butter. Each orang cake requires 2 cup of flour 3 cups of sugar, and 1 cup of butter. On a given day, the patiserie has to cup of flour, 70 cups of wogard 50 cups of butter available to make the cakes. The profit earned from selling one chocolate cake is 82 and the profit earned from selling one orange cake is $3. Use simplex method to find how many cases the patisserie has to make in order to maximize its daily profit Find also the value of the maximum profit. Write all the tableaux, and justify your decisions for choosing pivot columns and elements.