A vending machine dispenses hot chocolate or coffee. Service time is 30 seconds per cup and is constant. Customers arrive at a mean rate of 80 per hour, and this rate is Poisson-distributed. Determine the following: a. The average number of customers waiting in line b. The average time customers spend in the system c. The average number in the system

Self-interest achieve society’s economic goals because producers know which goods consumers want the most. as consumers and producers exercise their freedom to act in their own self-interest, markets will produce the desired goods at the lowest possible cost. consumers and producers both operate based on society’s economic goals. consumers know which goods can be produced at the lowest cost. there is a wide variety of desired goods and services in a market system because producers determine what to produce. consumers change their minds frequently. there is always a need to produce something new and improved. individual wants are diverse. what is produced is ultimately determined by consumers, because if the goods offered are not what consumers want, consumers will not buy them. producers, because they are driven by profits. producers, because they determine what to produce. consumers, because they participate in marketing surveys.

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.