Based on the Lagrange function above, the first-order conditions With respect to c, , are, respectively and (2) 1) 2) Using the first order conditions, using algebraic steps get to the period-t relative price where the ellipses are the final answer. There be multipliers in the final answer. Assume that financing constraints always hold (that is, purchasing durable goods always requires obtaining a loan). Ifthe government increases the leverage ratio GOV R from some initial value GOV RINITIAL qualitatively show in which direction the demand function for durable goods plotted below shifts? Briefly, but carefully, explain the logic of your argument/analysis and provide brief economic interpretation of your conclusion. (Note: economic interpretation is not simply a verbal restatement of the mathematics.) demand function for