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For each of the following utility functions, find the marginal utilities (MUx and MUy) and the marginal rate of substitutional between x and y (MRSxy) and explain whether MRSxy is diminishing or not.
a) u(x,y) = x1/2y
b) u(x,y) = x1/3y2/3
c) u(x,y) = x2+3y-2
Citgo Petroleum Corporation's frequent filler programs awards 2 free gallons of gasoline after the purchase of 10 gallons. A gallon costs $3.00. Given that information, evaluate the following statement: Citgo would have the same effect on demand by..
If consumers view cappuccinos and lattés as substitutes, what would happen to the equilibrium price and quantity of lattés if the price of cappuccinos falls Both the equilibrium price and quantity would increase. Both the equilibrium price and qua..
Demand for flower bouquets in a suburban town is described by: QD = 50 - 5 P + 2 Y, where Q is quantity, P is price per unit, and Y is an index of consumer income. Similarly, supply is described by QS = 10 P - 5.
Consider a Cobb-Douglas production function with three inputs, K is the capital(number of machines), L is labor (nuber of workers) and H is human capital (the number of college degrees among workers) The production fucntion isY=K1/3 L1/3 H1/3
The Licorice industry is competitive. Each firm produces 2 million strings of licorice per year. The strings have an average total cost of .20 cents each and they sell for .30 cents.
A friend of yours is considering two cell phone service providers. Provider A charges $120 per month for the service regardless of the number of phone calls made. Provider B doe not have a fixed service fee but instead charges $1
where a > 1. In addition assume that the firms target own profit maximization, compete (simultaneously) in quantities and have marginal costs equal to c1 = c2 = c. Assume that 1 > c > or equal to 0. Describing the necessary mathematical steps, an..
What is the relationship between goods x and y? Explain carefully. Using income as your primary factor, identify what category Good X falls into. Find the price elasticity of demand. Find the income elasticity of demand. Find the cross-price elast..
An agency is having problems with personal phone calls made during working hours. Each minute of a personal call costs the agency $0.50 in wasted wages. The agency decides to hire operators to monitor calls in order to attain the optimal number of..
Consider the simple linear regression model without an intercept, y = ß1x + u, with the assumption E(u|x)=0. Also assume that E(x)=0 Show that E(y)=0 and using this as well as E(x)=0 show that the covariance between x and y is given by E(xy) and that..
Abby consumes only apples. In year 1, red apples cost $1 each, green apples cost $2 each, and Abby buys 5 red apples and 2 green apples. In year 2, red apples cost $2, green apples cost $1, and Abby buys 1 red apple and 7 green apples. Compute a ..
price information for a typical market basket of goods purchased by consumers and assume that 2000 is the base year:1.Calculate the price index for 2000. 2.Calculate the price index for 2001. 3.Calculate the price index for 2002. 4.Calculate the pric..
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