18. Suppose that Eugene cares only about action figures and ice cream. His utility function is $U = A^{0.33}C^{0.67}$, where A is the
number of action figures he owns and C is the number of scoops of ice cream he eats. The price of action figures is $10, and
the price of ice cream is $4. Eugene has a budget of $100. How can Eugene's utility maximization problem be expressed as a
Lagrangian equation?
? $\mathcal{L}(A, C, \lambda) = A^{0.33}C^{0.67} + \lambda[10A + 4C - 100]$
? $\mathcal{L}(A, C, \lambda) = A^{0.33}C^{0.67} + \lambda[100 - 10A - 4C]$
? $\mathcal{L}(A, C, \lambda) = 100 - 10A - 4C + \lambda[A^{0.33}C^{0.67}]$
? $\mathcal{L}(A, C, \lambda) = 10A + 4C - 100 + \lambda[A^{0.33}C^{0.67}]$
