Sure, Yingting! Let's break down your questions step by step.
Question 1: Comparative Advantage and Opportunity Cost
To determine which party would be expected to trade away smoothies, we need to understand the concept of comparative advantage. Comparative advantage occurs when a party can produce a good at a lower opportunity cost than another party.
# Solution
a
Define Opportunity Cost: Opportunity cost is the value of the next best alternative foregone when making a decision
b
Calculate Opportunity Costs: Assume Kath and Kim have the following production capabilities:
- Kath: 10 muffins or 5 smoothies per hour.
- Kim: 8 muffins or 4 smoothies per hour.
For Kath:
- Opportunity cost of 1 muffin = 0.5 smoothies (5 smoothies / 10 muffins)
- Opportunity cost of 1 smoothie = 2 muffins (10 muffins / 5 smoothies)
For Kim:
- Opportunity cost of 1 muffin = 0.5 smoothies (4 smoothies / 8 muffins)
- Opportunity cost of 1 smoothie = 2 muffins (8 muffins / 4 smoothies)
c
Determine Comparative Advantage: Since both Kath and Kim have the same opportunity costs for muffins and smoothies, neither has a comparative advantage in producing one good over the other
d
Trade Decision: In this case, trade would be based on other factors such as preferences or external market conditions rather than comparative advantage
Answer
Neither Kath nor Kim has a comparative advantage in producing smoothies or muffins, so the decision to trade would depend on other factors.
Key Concept
Explanation
Comparative advantage is determined by lower opportunity costs, but in this case, both parties have identical opportunity costs.
Question 2: Publishing Decision for Murdoch Cengage
To determine whether Murdoch Cengage should publish the book, we need to consider the minimum number of copies that need to be sold to cover the costs.
# Solution
a
Define Break-Even Point: The break-even point is the number of units that must be sold to cover all fixed and variable costs
b
Calculate Fixed and Variable Costs: Assume the following:
- Fixed costs (F) = 50,000(costofpublishing)−Variablecostperbook(V)=10
- Selling price per book (P) = $20
The break-even point (Q) can be calculated using the formula:
\[ Q = \frac{F}{P - V} \]
Substitute the values:
\[ Q = \frac{50,000}{20 - 10} = 5,000 \]
So, Murdoch Cengage needs to sell at least 5,000 copies to break even Answer
Murdoch Cengage needs to sell at least 5,000 copies to cover the costs and proceed with the publication.
Key Concept
Explanation
The break-even point is calculated by dividing the fixed costs by the difference between the selling price and the variable cost per unit.
Question 3: Calculating Statistics and Creating Histograms in Excel
For this question, you need to perform specific statistical calculations and create histograms in Excel.
# Solution
a
Calculate Statistics: Use Excel functions to compute the required statistics for the returns in Column C.
- Mean: =AVERAGE(C:C)
- Standard Deviation: =STDEV.P(C:C)
- Minimum: =MIN(C:C)
- Maximum: =MAX(C:C)
- Median: =MEDIAN(C:C)
- First Quartile: =QUARTILE.INC(C:C, 1)
- Third Quartile: =QUARTILE.INC(C:C, 3)
- Inter-Quartile Range: =QUARTILE.INC(C:C, 3) - QUARTILE.INC(C:C, 1)
b
Create Histogram: Use the 'Histogram' tool in Excel's 'Data Analysis' add-in to create a histogram for the returns over the full year. Set the bin width to 1 for Part B
Answer
Use Excel functions to calculate the mean, standard deviation, minimum, maximum, median, first and third quartiles, and inter-quartile range. Create a histogram using the 'Data Analysis' tool with a bin width of 1.
Key Concept
Statistical Analysis in Excel
Explanation
Excel provides built-in functions and tools to perform statistical calculations and create histograms, which are essential for data analysis.
I hope this helps! If you have any more questions, feel free to ask.