Dancing stars sells ballet, tap, and jazz shoes. for the upcoming year dancing stars plans to sell 15,000 ballet shoes, 30,000 tap shoes, and 5,000 jazz shoes. what is the ratio of jazz shoes to ballet and tap shoes?

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x,y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.

Rachel died in 2014 and her executor is finalizing her estate tax return. the executor has determined that rachel’s adjusted gross estate is $10,120,000 and that her estate is entitled to a charitable deduction in the amount of $500,000. using 2014 rates, calculate the estate tax liability for rachel’s estate.

Alamar petroleum company offers its employees the option of contributing retirement funds up to 5% of their wages or salaries, with the contribution being matched by alamar. the company also pays 80% of medical and life insurance premiums. deductions relating to these plans and other payroll information for the first biweekly payroll period of february are listed as follows: wages and salaries $ 2,800,000 employee contribution to voluntary retirement plan 92,000 medical insurance premiums 50,000 life insurance premiums 9,800 federal income taxes to be withheld 480,000 local income taxes to be withheld 61,000 payroll taxes: federal unemployment tax rate 0.60 % state unemployment tax rate (after futa deduction) 5.40 % social security tax rate 6.20 % medicare tax rate 1.45 % required: prepare the appropriate journal entries to record salaries and wages expense and payroll tax expense for the biweekly pay period. assume that no employee's cumulative wages exceed the relevant wage bases for social security, and that all employees' cumulative wages do exceed the relevant unemployment wage bases.