An oil company is considering the optimal timing for the construction of new refineries. From past experience, each doubling of the size of a refinery at a single location results in an increase in the construction costs of about 68.2%. Furthermore, a plant size of 10,000 barrels per day costs $6 million. Assume that the demand for the oil is increasing at a constant rate of one million barrels yearly and the discount rate for future costs is 15%. Find the values of k and a assuming a relationship of the form f(y)

Identifying transactions national park tours co. is a travel agency. the nine transactions recorded by national park tours during may 2019, its first month of operations, are indicated in the following t accounts: cash (1) 75,000 (2) 900 (7) 8,150 (3) 1,600 (4) 6,280 (6) 2,700 (9) 2,500 accounts receivable (5) 12,300 (7) 8,150 supplies (2) 900 (8) 660 equipment (3) 8,000 accounts payable (6) 2,700 (3) 6,400 beth worley, capital (1) 75,000 beth worley, drawing (9) 2,500 fees earned (5) 12,300 operating expenses (4) 6,280 (8) 660 indicate for each debit and each credit (a) whether an asset, liability, owner's equity, drawing, revenue, or expense account was affected and (b) whether the account was increased (+) or decreased account debited account credited transaction type effect type effect (1) (2) (3) (4) (5) (6) (7) (8) (9)

For a multistate lottery, the following probability distribution represents the cash prizes of the lottery with their corresponding probabilities. complete parts (a) through (c) below. x (cash prize, $) p(x) grand prizegrand prize 0.000000008860.00000000886 200,000 0.000000390.00000039 10,000 0.0000016950.000001695 100 0.0001582930.000158293 7 0.0039114060.003911406 4 0.0080465690.008046569 3 0.012865710.01286571 0 0.975015928140.97501592814 (a) if the grand prize is $13 comma 000 comma 00013,000,000, find and interpret the expected cash prize. if a ticket costs $1, what is your expected profit from one ticket? the expected cash prize is $nothing.

6. why the aggregate supply curve slopes upward in the short run in the short run, the quantity of output that firms supply can deviate from the natural level of output if the actual price level in the economy deviates from the expected price level. several theories explain how this might happen. for example, the misperceptions theory asserts that changes in the price level can temporarily mislead firms about what is happening to their output prices. consider a soybean farmer who expects a price level of 100 in the coming year. if the actual price level turns out to be 90, soybean prices will , and if the farmer mistakenly assumes that the price of soybeans declined relative to other prices of goods and services, she will respond by the quantity of soybeans supplied. if other producers in this economy mistake changes in the price level for changes in their relative prices, the unexpected decrease in the price level causes the quantity of output supplied to the natural level of output in the short run.