Derive the Marginal Rate of Substitution between Consumption and Leisure for the following utility functions. a. K(CL) = 50 × C × L ( 2 points)
b. H(C, L) = 100 × C 2 × L 3 ( 2 points)
c. J(C, L) = 250 × ln(CL) (2 points) (d) U(C, L) = 120 × (ln(C 2 ) + ln(L))
d. There are 52 weeks in a year. Assume that the price of consumption is equal to 1 dollar per unit of consumption and that the wage is 1000 dollars per week. Assume that the individual receives 4000 dollars in non-labor income.

Required:
Determine which of the above utility functions represent the same set of preferences, and for those utility functions that represent the same set of preferences, determine the optimal bundle of consumption and leisure as well as the number of weeks worked.

True or false: banks are required to make electronically deposited funds available on the same day of the deposit

Net income and owner's equity for four businesses four different proprietorships, jupiter, mars, saturn, and venus, show the same balance sheet data at the beginning and end of a year. these data, exclusive of the amount of owner's equity, are summarized as follows: total assets total liabilities beginning of the year $550,000 $215,000 end of the year 844,000 320,000 on the basis of the preceding data and the following additional information for the year, determine the net income (or loss) of each company for the year. (hint: first determine the amount of increase or decrease in owner's equity during the year.) jupiter: the owner had made no additional investments in the business and had made no withdrawals from the business. mars: the owner had made no additional investments in the business but had withdrawn $36,000. saturn: the owner had made an additional investment of $60,000 but had made no withdrawals. venus: the owner had made an additional investment of $60,000 and had withdrawn $36,000. jupiter net income $ mars net income $ saturn net income $ venus net income $

Match the given situations to the type of risks that a business may face while taking credit. 1. beta ltd. had taken a loan from a bank for a period of 15 years, but its sales are gradually showing a decline. 2. alpha ltd. has taken a loan for increasing its production and sales, but it has not conducted any research before making this decision. 3. delphi ltd. has an overseas client. the economy of the client’s country is going through severe recession. 4. delphi ltd. has taken a short-term loan from the bank, but its supply chain logistics are not in place. a. foreign exchange risk b. operational risk c. term of loan risk d. revenue projections risk