Mark's utility function over football tickets (F) and baseball tickets (B) can be expressed as U(F,B) = F + 5B.
a. Use calculus to argue whether Mark's preferences also can be represented by U(F,B) = 5FB.
b. If Mark's utility function is U(F,B) = F + 5B, is the Lagrangian approach an appropriate way to solve for his optimal quantities? Explain why or why not.
c. If Mark's utility function is U(F,B) = 5FB, is the Lagrangian approach an appropriate way to solve for his optimal quantities? Explain why or why not.

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The Answer of Mark's utility function over football tickets (F) and baseball tickets (B) can be expressed as U(F,B) = F + 5B.
a. Use calculus to argue whether Mark's preferences also can be represented by U(F,B) = 5FB.
b. If Mark's utility function is U(F,B) = F + 5B, is the Lagrangian approach an appropriate way to solve for his optimal quantities? Explain why or why not.
c. If Mark's utility function is U(F,B) = 5FB, is the Lagrangian approach an appropriate way to solve for his optimal quantities? Explain why or why not.

Mark's Utility Function Over Football Tickets (F) and Baseball Tickets