Your father is considering purchasing an annuity that pays $5,000 at the beginning of each year for 5 years. he could earn 4.5% on his money in other investments with equal risk. what is the most he should pay for the annuity?

5. profit maximization and shutting down in the short run suppose that the market for polos is a competitive market. the following graph shows the daily cost curves of a firm operating in this market. 0 2 4 6 8 10 12 14 16 18 20 50 45 40 35 30 25 20 15 10 5 0 price (dollars per polo) quantity (thousands of polos) mc atc avc for each price in the following table, calculate the firm's optimal quantity of units to produce, and determine the profit or loss if it produces at that quantity, using the data from the previous graph to identify its total variable cost. assume that if the firm is indifferent between producing and shutting down, it will produce. (hint: you can select the purple points [diamond symbols] on the previous graph to see precise information on average variable cost.) price quantity total revenue fixed cost variable cost profit (dollars per polo) (polos) (dollars) (dollars) (dollars) (dollars) 12.50 135,000 27.50 135,000 45.00 135,000 if the firm shuts down, it must incur its fixed costs (fc) in the short run. in this case, the firm's fixed cost is $135,000 per day. in other words, if it shuts down, the firm would suffer losses of $135,000 per day until its fixed costs end (such as the expiration of a building lease). this firm's shutdown price—that is, the price below which it is optimal for the firm to shut down—is per polo.

In 2015, lori assigned a paid-up whole life insurance policy to an irrevocable life insurance trust (ilit) for the benefit of her three children. the ilit contained a crummey provision for the benefit of each child. at the time of the transfer, the whole life insurance policy was valued at $200,000, and since lori had not made any other taxable gifts during her lifetime, she did not owe any gift tax. lori died in 2016, and the face value of the whole life insurance policy of $2,000,000 was paid to the ilit. regarding this transfer, how much is included in lori’s gross estate at her death?

Suppose you manage an upscale restaurant in new york city. would involve writing employee schedules and a list of things to do for the chef and other kitchen staff