An individual consumes products X and Y and spends $36 per time period. The prices of the two goods are $3 per unit for X and $2 per unit for Y. The consumer in this case has a utility function expressed as:

U(X, Y) = .5XY

a. Express the budget equation mathematically by plugging in the given information. Use capital letters and a single space between operators.

b. Determine the values of X and Y that will maximize utility.

c. Determine the total utility that will be generated per unit of time for this individual. (no decimals)

On january 15, the end of the first biweekly pay period of the year, north company’s payroll register showed that its employees earned $32,000 of sales salaries. withholdings from the employees’ salaries include fica social security taxes at the rate of 6.2%, fica medicare taxes at the rate of 1.45%, $3,000 of federal income taxes, $772 of medical insurance deductions, and $260 of union dues. no employee earned > $7,000 in this first period. prepare the journal entry to record north company’s january 15 (employee) payroll expenses and liabilities.