Researchers set up a study to determine whether large doses of a nutritional supplement would shorten the length of time it takes to recover from a cold. three thousand volunteers were split into two groups. for two weeks, members of group a took 3,000 mg of the supplement daily. group b received 3,000 mg of a placebo. at the end of the two-week period, the researchers inserted live cold viruses directly into the noses of all the volunteers. the volunteers in both group a and group b continued to take their daily pills. all the volunteers got colds, and there was no significant difference in the length of time the colds lasted.

For a firm that uses the weighted average method of process costing, which of the following must be true? (a) physical units can be greater than or less than equivalent units. (b) physical units must be equal to equivalent units. (c) equivalent units must be greater than or equal to physical units. (d) physical units must be greater than or equal to equivalent units.

Your company is starting a new r& d initiative: a development of a new drug that dramatically reduces the addiction to smoking. the expert team estimates the probability of developing the drug succesfully at 60% and a chance of losing the investment of 40%. if the project is successful, your company would earn profits (after deducting the investment) of 9,000 (thousand usd). if the development is unsuccessful, the whole investment will be lost -1,000 (thousand usd). your company's risk preference is given by the expected utility function: u(x) v1000 +x, where x is the monetary outcome of a project. calculate the expected profit of the project . calculate the expected utility of the project . find the certainty equivalent of this r& d initiative . find the risk premium of this r& d initiative e is the company risk-averse, risk-loving or risk-neutral? why do you think so?

Jenny​ walters, who owns a real estate​ agency, bought an old house to use as her business office. she found that the ceiling was poorly insulated and that the heat loss could be cut significantly if six inches of foam insulation were installed. she estimated that with the​ insulation, she could cut the heating bill by​ $80 per month and the​ air-conditioning cost by​ $70 per month. assuming that the summer season is three months​ (june, july, and​ august) of the year and that the winter season is another three months​ (december, january, and​ february) of the​ year, how much can jenny spend on insulation if she expects to keep the property for five​ years? assume that neither heating nor​ air-conditioning would be required during the fall and spring seasons. if she decides to install the​ insulation, it will be done at the beginning of may.​ jenny's interest rate is​ 6% compounded monthly.