payments on the loan in the amount of $66,000. What amount of the $66,000 interest expense that Patricia paid during 2021 may she deduct as an itemized deduction

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.

Apharmaceutical packaging company (ppc) has decided to reorganize its processes into cells. the company has four different production operations, each requiring a unique piece of equipment. the names and functions of the four pieces of equipment are sort, count, place, and package. the company packages five different families of products (a, b, c, d, and e). the tables below indicate the demand (total units/day by product family), required operations, and operation cycle times for each product family. assume that any individual piece of equipment is available to operate 16 hours/day, but 2 hours (in total) are lost each day on each piece of equipment due to breaks and meetings when operators are not available to operate the equipment. how many minutes/day are available for production

Wilson center is a private not-for-profit voluntary health and welfare entity. during 2017, it received unrestricted pledges of $638,000, 65 percent of which were payable in 2017, with the remainder payable in 2018 (for use in 2018). officials estimate that 14 percent of all pledges will be uncollectible. a. how much should wilson center report as contribution revenue for 2017? b. in addition, a local social worker, earning $20 per hour working for the state government, contributed 600 hours of time to wilson center at no charge. without these donated services, the organization would have hired an additional staff person. how should wilson center record the contributed service?