You would like to make a nutritious meal of eggs, mixed vegetables and brown rice. the meal should provide at least 35 g of carbohydrates, at least 30 g of protein, and no more than 45 g of fat. one serving of eggs contains 2 g of carbohydrates, 18 g of protein, and 12 g of fat. a serving of mixed vegetables contains 14 g of carbohydrates, 15 g of protein, and 8 g of fat. a serving of rice contains 40 g of carbohydrates, 6 g of protein, and 1 g of fat. a serving of eggs costs $4, a serving of mixed vegetables costs $3.50, and a serving of rice costs $3. (a) formulate a linear optimization model that could be used to determine the number of servings of eggs, mixed vegetables, and rice for your meal that meets the nutrition requirements at minimal cost. (b) use excel solver to find the optimal solution. submit your excel file. (c) report the optimal solution.

Suppose that fixed costs for a firm in the automobile industry (start-up costs of factories, capital equipment, and so on) are $5 billion and that variable costs are equal to $17,000 per finished automobile. because more firms increase competition in the market, the market price falls as more firms enter an automobile market, or specifically, , where n represents the number of firms in a market. assume that the initial size of the u. s. and the european automobile markets are 300 million and 533 million people, respectively. a. calculate the equilibrium number of firms in the u. s. and european automobile markets without trade. b. what is the equilibrium price of automobiles in the united states and europe if the automobile industry is closed to foreign trade? c. now suppose that the united states decides on free trade in automobiles with europe. the trade agreement with the europeans adds 533 million consumers to the automobile market, in addition to the 300 million in the united states. how many automobile firms will there be in the united states and europe combined? what will be the new equilibrium price of automobiles? d. why are prices in the united states different in (c) and (b)? are consumers better off with free trade? in what ways?