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4. In the previous homework assignment, we established that Calvin loves Chocolate Frosted Sugar Bombs (C), a breakfast cereal. Calvin also enjoys popcorn ( L). THE TYRANNOSAURUS THE TERRIFYING LIZARD WITH A FEW MIGHTY STEPS, CALVIN, LUMBERS ACROSS THE IS THREE STORIES TALL AND THE DINOSAUR IS UPON A AARRGH! EAT YOUR PREHISTORIC VALLEY. HIS MOUTH IS FILLED WITH TRIBE OF FLEEING CAVEMEN. AAIEEE! POPCORN SIX-INCH CHISELS OF DEATH ! HE DEVOURS THEM ONE BY ONE! AAUGHH! QUIETLY! M Calvin's utility function is given by U(C, L) = LC + L + 20. The price of a serving of Chocolate Frosted Sugar Bombs (Pc) is $5, and the price of a bag of popcorn (PL) is $2. Calvin's weekly allowance is $51. a. How many servings of Chocolate Frosted Sugar Bombs and bags of popcorn should Calving eat in a week in order to maximize his utility? b. What is Calvin's maximum weekly utility