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Given prices for two goods PX = 2 and PY = 3 and a budget of $120 a consumer is trying to maximize the utility function U(X, Y ) = 2X^0.3Y^0.7 Use the Lagrange method to solve this problem, but don’t worry about the second order conditions (if you wish, you can actually check that the MRS is decreasing and this utility function is well behaved). a) Write and solve the utility maximization problem subject to the budget constraint. What is the resulting value of the utility function? b) Write and solve the dual problem. Do you get the same optimal solution (the same optimal combination of X and Y)? What is the resulting expenditure? Does that match the budget of your original (primal) problem?
Calculate the cost elasticity of demand as well as for paint as well as show your calculations.
Assume that Janet Yellen (chair of the US Fed Reserve) decides to reduce the US money supply (i.e., contractionary monetary policy). Using the concept of money market equilibrium, explain what will happen to interest rates and prices in the U.S. in t..
For a profit maximizing monopolist, _____. In contrast, for a profit maximizing perfectly competitive firm, _________.
Suppose an appliance manufacturer is doing a regression analysis, using quarterly time-series data, of the factors affecting its sales of appliances. What techniques might be used to remove this autocorrelation from the model?
Which of the following would cause a change in supply, as opposed to a change in quantity supplied, in the market for used homes? 1. an increase in the number of buyers in the market for used homes 2. An increase in the income of home buyers. 3. A de..
if the price is greater than the average variable cost and less than the average total cost at the profit-maximizing quantity of output in the short run, a perfectly competitive firm.
In oligopoly, each firm is acutely aware of the production and marketing decisions of all competitors and carefully considers the potential competitive reactions in all decisions. Discuss whether firms in other market structures consider the potentia..
q1. bertrand price competition the two firms have the same demand curve p100-4q marginal cost of firm 1 is 5 and for
Sam’s utility function is U(x1, x2) = 2x1 + x2, where x1 is the number of units of good 1 he consumes per week and x2 is the number of units of good 2 he consumes per week. Sam has $200 a week to spend.If he belonged to the club, he could buy good 2 ..
during his first year at school, ximin buys eight new college textbooks at a cost of $50 each. Used books cost $30 each. Is ximing better off, the same, or worse off after the price change.
If the labor supply curve is very elastic, a tax on labor:
In 2012, Peter Pan’s Pizza Pizzeria produced and sold 10,000 pizzas at a price of $8 each. In 2013,Peter Pan’s Pizza Pizzeria produced and sold 12,000 pizzas at a price of $9 each. How much did Peter Pan’s Pizza Pizzeria contribute to nominal GDP (in..
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