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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.

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.

Advanced enterprises reports year-end information from 2018 as follows: sales (160,250 units) $968,000 cost of goods sold 641,000 gross margin 327,000 operating expenses 263,000 operating income $64,000 advanced is developing the 2019 budget. in 2019 the company would like to increase selling prices by 14.5%, and as a result expects a decrease in sales volume of 9%. all other operating expenses are expected to remain constant. assume that cost of goods sold is a variable cost and that operating expenses are a fixed cost. should advanced increase the selling price in 2019?