. A popular soft drink is sold in 2-liter (2,000-milliliter) bottles. Because of variation in the filling process, bottles have a mean of 2,000 milliliters and a standard deviation of 20,
normally distributed.
a. If the process fills the bottle by more than 50 milliliters, the overflow will cause a
machine malfunction. What is the probability of this occurring?
b. What is the probability of underfilling the bottles by at least 30 milliliters?

White truffles are a very prized and rare edible fungus that grow naturally in the countryside near alba, italy. suppose that it costs $200 per day to search for white truffles. on an average day, the total number of white truffles (t) found in alba is t = 20x − x 2 , where x is the number of people searching for white truffles on that day. white truffles can be sold for $100 each. if there is no regulation, how many more people will be searching for white truffles than the socially optimal number?

Assume a competitive firm faces a market price of $60, a cost curve of c = 0.003q^3 + 25q + 750, and a marginal cost of curve of: mc = 0.009q^2 + 25.the firm's profit maximizing output level (to the nearest tenth) is , and the profit (to the nearest penny) at this output level is $ will cause the market supply to (shift right/shift left). this will continue until the price is equal to the minimum average cost of $

The partnership of douglas, ryan, and ellen has dissolved and is in the process of liquidation. on july 1, 2016, just before the second cash distribution, the assets and equities of the partnership along with profit and loss sharing ratios were as follows: cash $30,000receivable - net $20,000inventories $25,000equipment - net $30,000total assets $80,000liabilities $12,000douglas, capital (20%) $28,000ryan, capital (50%) $24,000ellen, capital (30%) $16,000total liab./equity $80,000assume that the available cash is distributed immediately, except for a $2,000 contingency fund that is withheld pending complete liquidation of the partnership. how much cash should be paid to each of the partners? a. $3,200 douglas, $8,000 ryan, $4,800 ellenb. $5,600 douglas, $14,000 ryan, $8,400 ellenc. $16,000 douglas, $0 ryan, $0 ellend. $8,000 douglas, $0 ryan, $8,000 ellen