(Solved): 11. Preference functions and indifference curves Gilberto's preferences are given by the following ...

11. Preference functions and indifference curves Gilberto's preferences are given by the following function, where \( L \) is the total number of lattes he drinks and \( R \) is the total number of regular cups of coffee he drinks in a month. \[ U(L, R)=(L \times R)^{a s} \] Lart month, Gilberto drank 16 lattes and drank 4 regular cups of coffee, This gives him a ubility of utils, Complete the following table by carculating the amount of the other good that would make the utility from bundles 8 and \( C \) equal to the utily from buandie A. On the following graph, use the purple curve (dwamond symbole), Labeled "Indifference Curve, to plot the throe combirabions of lattes are regular cups of colfee that yied the same kevel of utaby that you previously found. On the following graph, use the purple curve (diamond symbols), labeled "Indifference Curve," to plot the three combinations of lattes and regular cups of coffee that yield the same level of utility that you previously found. Suppose Ciberto has budgeted \( \$ 36 \) this month for spending on drinking lattes and drinking reguar cups of colfee. Use the greet ine forlanple symbol to plot his budpet constraint if a latte mats 53 and a cup of corfee costs \( \$ 1.50 \). This month, the maximum utility Giberto can achieve based on this budget is utility-maximizing choice may fall on a utility curve that isnt drawn on this graph.)