When computed using an effective interest rate of i, it is known that the present value of $2,000 at the end of each year for 2n years plus an additional $1,000 at the end of each of the first n years is $52,800. using this same interest rate, the present value of an n year deferred annuity-immediate paying $4,000 per year for n years is $27,400. find n. [hint: first find an i and a2n i, then vn and i.]

while setting up his new office, an attorney ordered thick, frieze carpets for the floor. however, the building inspector had him remove the expensive carpeting. the building inspector stated that according to federal regulations, the office must be wheelchair accessible as it is a public area. he further explained that since wheelchairs do not maneuver well in thick, frieze carpeting, the carpets had to be removed and be replaced with smooth-textured carpets that do not restrict wheelchair maneuverability. this scenario illustrates how a company is influenced by the component of its specific environment.

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.]

mary's baskets company expects to manufacture and sell 30,000 baskets in 2019 for $5 each. there are 4,000 baskets in beginning finished goods inventory with target ending inventory of 4,000 baskets. the company keeps no work-in-process inventory. what amount of sales revenue will be reported on the 2019 budgeted income statement?