A parcel of real estate has been left to a woman through her husband's will for her use and enjoyment during her lifetime, with

Response:

The return on equity (ROE) would be altered by 8.52%

Clarification:

Initially, we determine the existing ROE utilizing the Dupont Formula, yielding ROE as follows:

ROE = Net Income/Sales * Sales/Total Assets * Total Assets/Equity

or

ROE = Net Profit Margin * Total Assets Turnover * Equity Multiplier

• Current ROE = 10600/295000 * 1.4 * 1.75 = 0.0880 or 8.8%

The condition states that net income might rise to 20850 while other factors remain unchanged. Therefore, to find the new ROE, we compute the updated Net Profit margin, keeping the total assets turnover and the equity multiplier constant due to the absence of sales, assets, or capital structure changes.

• New ROE = 20850/295000 * 1.4 * 1.75 = 0.17316 or 17.32%
• The ROE would have shifted by 17.32 - 8.80 = 8.52%

Answer:

• As explained below, with the individual’s score in the 0.03125 fraction of top candidates, they can anticipate securing a position.

Explanation:

Utilizing Chebyshev’s Theorem is key.

This theorem is valid for any dataset, irrespective of its shape.

Chebyshev's Theorem states that at least 1−1/k² of the data falls within k standard deviations from the mean.

For this data set, the specifics are:

• mean: 60
• standard deviation: 6
• score: 84

The number of standard deviations that 84 is from the mean can be calculated as:

• k = (score - mean) / standard deviation
• k = (84 - 60) / 6 = 24 / 6 = 4

Hence, the individual’s score is 4 standard deviations above the mean.

How significant is this?

According to Chebyshev’s Theorem, at least 1−1/k² of the data is within k standard deviations from the mean. Setting k = 4 gives us:

• 1 - 1/4² = 1 - 1/16 = 0.9375

• This implies that half of 1 - 0.9375 exceed k = 4: 0.03125

• Consequently, 1 - 0.03125 is below k = 4: 0.96875

With 70 job openings and 1,000 applicants, the ratio is 70/1,000 = 0.07, indicating the company seeks the top 0.07 of applicants.

Given the individual scores in the top 0.03125 of applicants, they can expect to obtain a job.

Réponse:

Amy possède un avantage absolu dans la production de tartes aux pommes et de glaces.

Amy a un avantage comparatif dans la production de tartes aux pommes.

Brad a un avantage comparatif dans la production de glaces.

Amy devrait se spécialiser dans la production de tartes aux pommes, tandis que Brad devrait se focaliser sur la production de glaces.

Explication:

Une personne a un avantage comparatif dans un domaine si elle produit à un coût d'opportunité inférieur par rapport à d'autres individus.

Coût d'opportunité de Brad:

Pour produire une tarte aux pommes = 10 / 5 = 2

Pour produire une glace: 5 / 10 = 0.5

Coût d'opportunité d'Amy:

Pour produire une tarte aux pommes: 15/15 = 1

Pour produire des glaces: 15/15 = 1

Amy a le coût d'opportunité le plus bas comparé à Brad pour la production de tartes aux pommes. Ainsi, elle détient un avantage comparatif dans ce domaine.

Brad présente un coût d'opportunité inférieur à celui d'Amy pour la production de glaces. Il possède donc un avantage comparatif dans la production de glaces.

Une personne doit se spécialiser et échanger le produit pour lequel elle a un avantage comparatif.

Un individu a un avantage absolu dans la production d'un bien s'il produit une quantité supérieure à celle des autres.

Amy a un avantage absolu dans la production des deux biens.

The response to your inquiry: Jackson and Max, the sole residents of a small tropical island, each own an old, polluting Oldsmobile. The installation cost for a pollution-control device is $940. For every device installed, both individuals will reduce their healthcare expenses by $660. Complete the payoff matrix based on the provided details, where the left side shows Jackson's payoff and the right side demonstrates Max's payoff. If neither decides to install the device, their payoff remains at $0.