Question

Analysis of Economic Potentials for Fischer-Tropsch Conversion Each level of design has its own economic potential function. The definition of economic potential for the input-output level (1) is given by Equation (7.3), along with a feasible range for the profitability margin \((0.50-0.75)\). Taking that range as criterion, has the Fischer-Tropsch base case design presented in Section \(7.9\) a satisfactory profitability margin? The economic results in Table 7.4 can be used for making an assessment. The prices of hydrocarbons can be volatile over time. How much (by which fraction) can the product prices approximately drop before the lower limit on the profitability margin is reached while assuming the feed and waste costs remain constant?

Short answer

How much can the product prices drop before the lower limit of the profitability margin is reached, assuming the feed and waste costs remain constant? Answer: *The student will provide the computed profitability margin value and compare it with the feasible range. Then, they will give the fraction by which the product prices can drop.* (The answer depends on the values in Table 7.4)

Step-by-step solution

Analyze the Fischer-Tropsch base case design in Table 7.4.

Based on the information provided, we need to first look into Table 7.4 to examine the Fischer-Tropsch base case design. Specifically, we need to find the profitability margin for this design.

Determine the current profitability margin.

From Table 7.4, we will extract the necessary values to calculate the profitability margin. The profitability margin is calculated as: $$ \text{Profitability Margin} = \frac{\text{Revenue} - (\text{Feed Cost} + \text{Waste Cost})}{\text{Revenue}} $$ Plug in the numbers from Table 7.4 into this formula to obtain the profitability margin of the Fischer-Tropsch base case design.

Compare the profitability margin to the feasible range.

Now that we have the profitability margin, we need to compare it to the given feasible range \((0.50 - 0.75)\) to determine if the base case design has a satisfactory profitability margin.

Calculate the fractions by which the product prices can drop.

To find out how much the product prices can drop before the lower limit on the profitability margin is reached, we can use the following equation: $$ \frac{\Delta \text{Revenue}}{\text{Revenue}} = \frac{\text{New Profitability Margin} - \text{Current Profitability Margin}}{\text{Current Profitability Margin}} $$ Solve for \(\Delta \text{Revenue}\) and then divide it by the original revenue to get the fraction by which the product prices can drop.

Conclusion.

Based on the analysis, determine if the Fischer-Tropsch base case design has a satisfactory profitability margin and how much the product prices can drop before the lower limit of the profitability margin is reached.

Key concepts

Economic Potential Analysis

Analyzing the economic potential of a project or technology, such as the Fischer-Tropsch conversion process, involves evaluating its ability to generate profits. This kind of analysis is crucial when deciding whether to implement a project or move forward with a design.
Economic potential analysis aims to answer key questions:

• How much revenue can be generated from the technology?
• What are the costs associated with the technology, such as feed costs, waste management, and operational costs?

These factors help determine if the project is worth pursuing or if adjustments are needed to make it viable. For the Fischer-Tropsch conversion, economic potential assessment includes determining if the expected profitability margin falls within an acceptable range.
By understanding the economic potential, stakeholders can make data-driven decisions, ensuring the technology can compete economically with existing solutions and sustain its feasibility over time.

Profitability Margin

Profitability margin is a key financial metric that evaluates the efficiency of a project in converting revenue into actual profit. In the context of Fischer-Tropsch synthesis, it helps assess how well the process generates profit after covering costs.
The formula to calculate profitability margin is:\[\text{Profitability Margin} = \frac{\text{Revenue} - (\text{Feed Cost} + \text{Waste Cost})}{\text{Revenue}}\]This metric tells us the percentage of revenue that translates into profit after deducting necessary expenses.To determine if a project like Fischer-Tropsch conversion has a satisfactory profitability margin, we compare it against a benchmark range, such as 0.50 to 0.75.
If the margin falls within this range, the project is considered financially sound. However, if it is below, adjustments are needed to improve revenue or reduce costs. Understanding this concept assists stakeholders in evaluating the financial well-being of their project.

Renewable Energy Economics

The economics of renewable energy involve analyzing how renewable sources, like wind, solar, and biomass, can be implemented in cost-effective ways. For processes such as Fischer-Tropsch synthesis, renewable energy economics plays an essential role in determining its long-term sustainability and competitiveness.
Key considerations include:

• Initial setup costs, which can be high due to the technology involved.
• Operating costs, which can decrease over time as technologies become more efficient.
• Energy prices, which fluctuate and can impact the economic feasibility of a technology.

Furthermore, renewable energy is attractive because it reduces dependency on fossil fuels, leads to lower greenhouse gas emissions, and can present long-term economic benefits due to technological advances and economies of scale. In the case of Fischer-Tropsch synthesis, integrating renewable energy sources can improve its economic appeal, aligning with global sustainability goals and market trends towards green energy solutions. This alignment not only enhances environmental outcomes but also strengthens the financial attractiveness of the technology.