Jake and Paul run a paper company. Each week they need to produce 1,000 reams of paper to ship to their customers. The paper plant's long-run production function is Q = 4 K^0.75 L^0.25, where Q is the number of reams produced, K is the quantity of capital rented, and L is the quantity of labor hired. For this production function, the MPL = K^0.75/L ^0.75 and the MPK = 3 L^0.25/K^0.25. The weekly cost function for the paper plant is C = 10K + 2L, where C is the total weekly cost

a. What ratio of capital to labor minimizes Jake and Paul's total costs?

b. How much capital and labor will Jake and Paul need to rent and hire in order to produce 1,000 reams of paper each week?

c. How much will hiring these inputs cost them?

Consider the market for gasoline. suppose that, in a competitive market without government regulations, the equilibrium price of gasoline is $3.00 per gallon, and employees at gas stations earn $17.50 per hour. complete the following table by indicating whether each of the statements is an example of a price ceiling or a price floor and whether it results in a shortage or a surplus or has no effect on the price and quantity that prevail in the market. statement price control effect the government has instituted a legal minimum price of $3.40 per gallon for gasoline. the government prohibits gas stations from selling gasoline for more than $3.40 per gallon. due to new regulations, gas stations that would like to pay better wages in order to hire more workers are prohibited from paying more than $14.50 per hour.

At april 1, 2019, the food and drug administration is in the process of investigating allegations of false marketing claims by hulkly muscle supplements. the fda has not yet proposed a penalty assessment. hulkly’s fiscal year ends on december 31, 2018. the company’s financial statements are issued in april 2019. required: for each of the following scenarios, determine the appropriate way to report the situation. 1. management feels an assessment is reasonably possible, and if an assessment is made an unfavorable settlement of $13 million is reasonably possible. 2. management feels an assessment is reasonably possible, and if an assessment is made an unfavorable settlement of $13 million is probable. 3. management feels an assessment is probable, and if an assessment is made an unfavorable settlement of $13 million is reasonably possible. 4. management feels an assessment is probable, and if an assessment is made an unfavorable settlement of $13 million is probable.

You plan to invest some money in a bank account. which of the following banks provides you with the highest effective rate of interest? hint: perhaps this problem requires some calculations. bank 1; 6.1% with annual compounding. bank 2; 6.0% with monthly compounding. bank 3; 6.0% with annual compounding. bank 4; 6.0% with quarterly compounding. bank 5; 6.0% with daily (365-day) compounding.