Reference no: EM133129103
Consider a household whose utility is determined by the consumption of two goods, A and B. Let cA and cB denote the consumption of good A and good B, respectively. The utility of this household can be represented by a utility function
U(cA,cB) = logcA + 9 logcB.
The prices of goods A and B are given by pA = 10 and pB = 9, respectively, and this household is endowed with budget I = 532.
(a) Check if the utility function (1) satisfies i) UcA > 0, UcB > 0 and ii) UcA,cA < 0, UcB,cB < 0, where UcA andUcB denote∂U/∂cAand∂U/∂cB,respectively,andUcA,cA andUcB,cB denotes∂2U/∂c2Aand ∂2U/∂c2B, respectively. Describe the economic meaning of these conditions.
(b) Write down this household's static optimization problem over the two goods.
(c) Set up a Lagrangian equation and derive the optimal conditions.
(d) Express the marginal rate of substitution (MRS hereafter) between the two goods A and B in an analytical form and describe the relationship between the MRS and the relative price (between the two goods A and B) at the optimum. Explain the economic reason why this relationship has to hold at the optimum.
Differences in factor intensities between commodities
: Using well drawn diagrams, explain how comparative advantage and international trade may arise from differences in factor endowments between countries and diffe
|
Explain the concept of trade diversion
: Assume Lesotho imports tyres from Namibia and South Africa at the free trade prices of L30 and L20 per ton of tyre respectively. In autarky, Lesotho's domestic
|
What amount should M recognize as compensation expense
: On January 1, 2021, M Company granted 92,000 stock options to certain executives. What amount should M recognize as compensation expense
|
Identify topics for business research
: You were asked to identify topics for your business research. This time, identify your top 3 research topics.
|
Describe the economic meaning of conditions
: Let cA and cB denote the consumption of good A and good B, respectively. The utility of this household can be represented by a utility function
|
What would be the ending cash as of December
: In 2015, Babel Company had net cash provided by operating activities of $531,000; What would be the ending cash as of December
|
What type of market structure does the firm operating in
: a. What type of market structure does the firm operating in? Why? b. State the profit maximizing price and output for the firm.
|
Applying to the attackers attempts at social engineering
: During the COVID-19 stay-at-home requirements, many people worked from home. How do you see this verse applying to the attackers' attempts at social engineering
|
Compare and contrast between marketplace and marketspace
: Compare and contrast between marketplace and marketspace giving advantages and disadvantages for each
|