Pedro, not a dealer, sold real property that he owned with an adjusted basis of $120,000 and encumbered by a mortgage for $56,000 to Pat in 2017. The terms of the sale required Pat to pay $28,000 cash, assume the $56,000 mortgage, and give Pedro 11 notes for $12,000 each (plus interest at the Federal rate). The first note was payable two years from the date of sale, and each succeeding note became due at two-year intervals. Pedro did not elect out of the installment method for reporting the transaction. If Pat pays the 2019 note as promised, what is the recognized gain to Pedro in 2019 (exclusive of interest)

Ajustification for job training programs is that they improve worker productivity. suppose that you are asked to evaluate whether more job training makes workers more productive. however, rather than having data on individual workers, you have access to data on manufacturing firms in ohio. in particu- lar, for each firm, you have information on hours of job training per worker (training) and number of nondefective items produced per worker hour (output). (i) carefully state the ceteris paribus thought experiment underlying this policy question. (ii) does it seem likely that a firm’s decision to train its workers will be independent of worker characteristics? what are some of those measurable and unmeasurable worker characteristics? (iii) name a factor other than worker characteristics that can affect worker productivity. (iv) if you find a positive correlation between output and training, would you have convincingly established that job training makes workers more productive? explain.

Needs to schedule the staffing of the center. it is open from 8am until midnight. larry has monitored the usage of the center at various times of the day and determined that the following number of computer consultants are required: time of dayminimum number of consultants required to be on duty8 am-noon4noon-4 pm84pm-8pm108pm-midnight6 two types of computer consultants can be hired: full-time and part-time. the full- time consultants work for eight consecutive hours in any of the shifts: morning (8am- 4pm), afternoon (noon-8pm) and evening (4pm-midnight). full-time consultants are paid $14 per hour. part-time consultants can be hired to work any of the four shifts listed in the table. part-time consultants are paid $12 per hour. an additional requirement is that during every time period, there must be at least two full-time consultants on duty for every part-time consultant on duty. larry would like to determine how many full-time and part-time consultants should work each shift to meet the above requirements at the minimum possible cost. formulate this as an lp problem. you must define your variables clearly

Dahlia enterprises needs someone to supply it with 127,000 cartons of machine screws per year to support its manufacturing needs over the next five years, and you’ve decided to bid on the contract. it will cost you $940,000 to install the equipment necessary to start production; you’ll depreciate this cost straight-line to zero over the project’s life. you estimate that in five years, this equipment can be salvaged for $77,000. your fixed production costs will be $332,000 per year, and your variable production costs should be $11.00 per carton. you also need an initial investment in net working capital of $82,000. if your tax rate is 30 percent and your required return is 11 percent on your investment, what bid price should you submit? (do not round intermediate calculations and round your final answer to 2 decimal places. (e. g., 32.16))