Suppose an economy consists of three sectors: Energy (E), Manufacturing (M), and Agriculture (A). Sector E sells 70% of its output to M and 30% to A. Sector M sells 30% of its output to E, 50% to A, and retains the rest. Sector A sells 15% of its output to E, 30% to M, and retains the rest. Denote the prices (dollar values) of the total annual outputs of the Energy, Manufacturing, and Agriculture sectors by pe, pm, and pa, respectively. If possible, find equilibrium prices that make each sector's income match its expenditures. Find the general solution as a vector, with pa free.

Suppose that a consumer spends her income on the following pairs of goods: (i) tortilla chips and salsatortilla chips and salsa (ii) tortilla chips and potato chipstortilla chips and potato chips (iii) movie tickets and gourmet coffeemovie tickets and gourmet coffee (iv) travel by bus and travel by subwaytravel by bus and travel by subway. if the price of one of the goods changes, explain the effect on the quantity demanded of the other good. are the goods substitutes, complements, or unrelated goods? considering tortilla chips and salsatortilla chips and salsa, if the price of one of the goods decreasesdecreases, then the quantity demanded of the other good will increase because they are complements .