Use the graph of​ F to find the given limit. When​ necessary, state that the limit does not exist.     =

Cyber Manufacturing determines that the daily​ revenue, in​ dollars, from the sale of x laptops is ​R(x) = 0.005×3 + 0.03×2 + 0.8x. Find the marginal revenue for x​ =140 and explain what it means.

  A company estimates that the daily cost (in dollars) of producing x chocolate bars is given by .  Currently the company produces 650 chocolate bars per day. Use marginal cost to estimate the increase in the daily cost if one additional chocolate bar is produced per day.  $[x]

The price p​ (in dollars) and demand x for wireless headphones are related by

  The maximum profit is $[x].  To obtain the maximum​ profit, the price per suit must be $[y]. 

Assets Liabilities Reserves: $50 million Demand Deposits: $800 million Securities: $250 million Loans: $550 million Bank Capital: Please answer the following questions about Gamecock Bank’s balance sheet that is given in the table above. If the answer to a question is a dollar amount please include the dollar sign. For any dollar value greater than $999,999 please use millions or billions, depending upon the exact answer. For example, if you think the answer is $1 million type “$1 million” (do not include quotation marks). If the answer to a question is a percentage please include the percent symbol and type your answer out to the second decimal place. For example, 42.45%. Calculate Gamecock Bank’s current dollar amount of bank capital. [bc] Calculate Gamecock Bank’s current dollar amount of assets. [a] Suppose Gamecock Bank’s current return on assets (ROA) is 1%. Use this information to calculate Gamecock Bank’s return on equity (ROE). Hint: You might need to use more than one of the provided formulas. [roe] Suppose Gamecock Bank suffered a $50 million loan default. How much equity capital would the bank have remaining after the default? [default] Would Gamecock Bank remain solvent? Answer “Yes” or “No.” (Do not include quotation marks)  [solvent]

Of the following equilibria, only __________ will shift to the left in response to a decrease in volume.

Each part of this question will be worth 2 points. State whether the following questions are “true” or “false.” You must explain your reasoning to receive full credit. Please record your answer by typing the letter that corresponds to the part you are answering. For example, if you are answering part A, type “A) your answer.”  A. First Bank of Gadsden, a nationally chartered bank, is regulated by the Federal Reserve System. B. Gamecock Bank is not a member of the Federal Reserve System so its primary federal regulator is the FDIC. C. Oxford Holdings is a Bank Holding Company. Since its largest bank has a state-charter is does not have a federal regulator. D. Only banks with a national charter can join the Federal Reserve System. E. Gamecock Bank does not have to meet reserve requirements since it is not a member of the Federal Reserve System.

The freezing point of ethanol (C2H5OH) is -114.6 °C. The molal freezing point depression constant for ethanol is 2.00 °C/m. What is the freezing point (°C) of a solution prepared by dissolving 50.0 g of glycerin a nonelectrolyte) in 200.0 g of ethanol?

ΔS is positive for the reaction __________.