An economist is interested in studying the incomes of employees in a particular Silicon Valley firm. The population standard deviation is known to be $5000. What total sample size would the economist need to use for a 95% confidence interval if the width of the interval should not be more than $500:

A. 385
B.1536
C.1537
D. 384

Recently, verizon wireless ran a pricing trial in order to estimate the elasticity of demand for its services. the manager selected three states that were representative of its entire service area and increased prices by 5 percent to customers in those areas. one week later, the number of customers enrolled in verizon's cellular plans declined 4 percent in those states, while enrollments in states where prices were not increased remained flat. the manager used this information to estimate the own-price elasticity of demand and, based on her findings, immediately increased prices in all market areas by 5 percent in an attempt to boost the company's 2016 annual revenues. one year later, the manager was perplexed because verizon's 2016 annual revenues were 10 percent lower than those in 2015"the price increase apparently led to a reduction in the company's revenues. did the manager make an error? yes - the one-week measures show demand is inelastic, so a price increase will decrease revenues. yes - the one-week measures show demand is elastic, so a price increase will reduce revenues. yes - cell phone elasticity is likely much larger in the long-run than the short-run. no - the cell phone market must have changed between 2011 and 2012 for this price increase to lower revenues.

Asap describe three different expenses associated with restaurants. choose one of these expenses, and discuss how a manager could handle this expense.

(a) what was the opportunity cost of non-gm food for many buyers before 2008? (b) why did they prefer the alternative? (c) what was the opportunity cost in 2008? (d) why did it change?