Ratio Scale in Figure 2.22
Figure 2.22 utilizes a ratio scale, also known as a logarithmic scale, to display the data. On this type of scale, the axes are calibrated differently than on a linear scale. For this specific chart, each step up the vertical axis represents a doubling of the price of photovoltaic cells, while each step along the horizontal axis signifies a tenfold increase in the total installed capacity.
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Relationship Between Capacity and Cost in Figure 2.22
Source for Figure 2.22: Lafond et al. (2017) on Experience Curves
Source for Figure 2.22: IRENA (2020) on Solar PV Capacity and Prices
Evaluating a Green Technology Investment
Historical data for a key renewable energy technology reveals a strong, consistent trend over several decades: as the cumulative global production volume increases, the cost per unit reliably decreases. When plotted, this relationship forms a nearly straight, downward-sloping line. An analyst observing this long-term pattern would most reasonably conclude that:
Interpreting Production Cost Trends
Historical data for a specific type of solar panel shows a consistent relationship between production volume and price. For every tenfold increase in the total number of panels produced globally, the price per panel has been cut in half. If the price was $80 per panel when 1 million units had been produced, what would the price be expected to be when the total production reaches 100 million units?
A well-established principle for a certain manufacturing technology shows that its unit cost is consistently cut in half for every tenfold increase in cumulative production volume. Based on this principle alone, it is reasonable to predict that the unit cost will eventually become zero.
Evaluating Policy Support for a Maturing Technology
A new energy storage technology is being developed. Which of the following scenarios would provide the strongest evidence that this new technology is likely to follow a similar long-term cost reduction path as has been observed in other successful green technologies, where costs decrease predictably as production scales up?
A manufacturing firm is considering entering a market for a mature technology that has shown a consistent, decades-long pattern of cost reduction directly linked to increases in global production volume. Which of the following strategic decisions would be the most financially risky for this firm, based solely on this market characteristic?
A specific type of renewable energy technology has demonstrated a consistent, long-term trend: for every tenfold increase in cumulative global production, the unit cost is cut in half. This technology has now reached a point where building new installations is often cheaper than building new fossil fuel plants. A government is debating whether to continue providing subsidies to consumers who install this technology. Which of the following statements presents the most compelling economic argument based on the described trend?
A specific type of green technology has shown a consistent, long-term trend where its unit cost decreases as cumulative production volume increases. Match each characteristic or phase of this trend to its most direct economic implication.
Learning Curve Effect on Photovoltaic Cell Prices
Ratio Scale in Figure 2.22
Learn After
A graph plots the cost of a product on its vertical axis against the cumulative production volume on its horizontal axis. The graph uses a special scale where moving one major gridline to the right on the horizontal axis represents a tenfold increase in production volume, and moving one major gridline down on the vertical axis represents the cost being halved. The data on the graph forms a consistent, straight, downward-sloping line. If the cost is $100 per unit when cumulative production is 1,000 units, what is the predicted cost per unit when cumulative production reaches 100,000 units?
Choosing the Appropriate Scale for Data Visualization
A graph displays a company's revenue over a 10-year period. The vertical axis uses a ratio scale where each major gridline represents a doubling of revenue (e.g., $1M, $2M, $4M, $8M). The horizontal axis is a standard linear scale representing years. If the data points for the company's revenue form a straight, upward-sloping line on this graph, what can be concluded about the company's revenue growth?
Interpreting Rate of Change on a Ratio Scale
Analyzing Growth Rates with Appropriate Chart Scales
An analyst is tracking the market adoption of a new technology. The data shows that the number of users is doubling approximately every six months. The analyst wants to create a chart that most clearly illustrates whether this constant rate of growth is being maintained over several years. Which of the following chart configurations would be the most effective for this specific purpose?
A graph plots the cost per unit for two different technologies, A and B, over a ten-year period. The vertical axis uses a ratio scale, where each major gridline represents a halving of the cost (e.g., $100, $50, $25). Both technologies are represented by straight, downward-sloping lines, but the line for Technology A is steeper than the line for Technology B. What can be concluded by comparing the two lines?
On a graph where the vertical axis uses a ratio scale (e.g., each major gridline represents a halving of the value), a straight, downward-sloping line indicates that the variable being measured is decreasing by the same absolute amount in each time period.
Interpreting Data on Different Scales
An analyst is creating charts to visualize different data trends over time. The charts all use a standard linear scale for the horizontal (time) axis, but a ratio (logarithmic) scale for the vertical axis. Match each described data trend with how it would appear as a line on this specific type of chart.
Interpreting Rate of Change on a Ratio Scale