Answer:
A total of 24 students is required to reach breakeven.
Explanation:
Breakeven occurs when total sales equal total expenses.
Thus,
Sales = Px * Q
Where Px represents the cost of the training session
Q denotes the number of students attending
Sales = 150Q
Cost = fixed cost + variable cost
Cost = 3000 + 25Q
Breakeven calculation
150Q = 3000 + 25Q
150Q - 25Q = 3000
125Q = 3000
Q = 3000 / 125
Q = 24
Thus, breakeven is achieved with 24 students.
Answer:
C. Implement a rotating task where each member takes turns with note-taking.
Explanation:
Regarding the scenario presented, bias could create an undesirable situation.
Therefore, establishing a system where each team member rotates note-taking duties is the most suitable solution. This method ensures that no individual is perpetually assigned a task that leads to dissatisfaction among the team. By assigning this responsibility on a rotating basis, it promotes fairness and reduces potential disparities and conflicts that might arise among team members.
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.
Answer: To optimize profit, the production will entail: 400 luxury units and no standard ones. Explanation: For luxury items, raw material and labor yield higher profitability. Thus, maximizing luxury output becomes the focus, utilizing all available labor hours while ensuring no production for standard due to resource constraints.
