2) Suppose a Cedar City baker of festive holiday cakes wants to maximize her profits from cake baking and has in stock 150 kilos of flour, 22 kilos of sugar and 27.5 kilos of butter with which to make two types of cakes. To make a dozen A cakes requires 3 kilos of flour, 1 kilo of sugar and 1 kilo of butter while to make a dozen B cakes requires 6 kilos of flour, .50 kilos of sugar and one kilo of butter. The baker's profit from producing a dozen A cakes is 20 per dozen and the profit from producing a dozen B cakes is 30 per dozen. a) What is the objective function for this baker? b) What is the flour constraint for this baker? C What is the sugar constraint for this baker? d) What is the butter constraint for this baker? How many dozen A cakes should the baker produce to maximize profits? How many dozen B cakes should the baker produce to maximize profits? g ) What are the baker's profits