An office building with an adjusted basis of $320,000 was destroyed by fire on December 30, 2020. On January 11, 2021, the insurance company paid the owner $450,000. The fair market value of the building was $500,000, but under the co-insurance clause, the insurance company is responsible for only 90 percent of the loss. The owner reinvested $410,000 in a new office building on February 12, 2021, that was smaller than the original office building. What is the recognized gain and the basis of the new building if § 1033 (nonrecognition of gain from an involuntary conversion) is elected?

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a. what is the firm’s labor demand function? b. if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c. now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]