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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.]

University car wash built a deluxe car wash across the street from campus. the new machines cost $219,000 including installation. the company estimates that the equipment will have a residual value of $19,500. university car wash also estimates it will use the machine for six years or about 12,500 total hours. actual use per year was as follows: year hours used 1 3,100 2 1,100 3 1,200 4 2,800 5 2,600 6 1,200 prepare a depreciation schedule for six years using the following methods: 1. straight-line. 2. double-declining-balance. 3. activity-based.

Mai and chuck have been divorced since 2012. they have three boys, ages 6, 8, and 10. all of the boys live with mai and she receives child support from chuck. mai and chuck both work and the boys need child care before and after school. te boys attend the fun house day care center and mai paid them $2,000 and chuck paid them $3,000. mai's agi is $18,000 and chuck's is $29,000. mai will claim two of the boys as dependents. she signed form 8332 which allows chuck to claim one of the boys. who can take the child and dependent care credit?