It occurred to me that profit/loss and market sizing frameworks are simply algebra word problems. You determine the numbers from the case interview and plug them into the formula. Can anyone think of other frameworks that can be viewed as algebra word problems?

The Strategic Public Value Triangle is a conceptual framework developed by Prof. Mark H. Moore to guide public managers in creating public value. It emphasizes the interplay between three key elements: public value proposition, the operational capacity to deliver, and the legitimacy and support of the authorizing environment.Prof. Mark H. Moore is a distinguished academic known for his work in public management and leadership. He is the Hauser Professor of Nonprofit Organizations at the Harvard Kennedy School. Moore's research and teachings have significantly influenced the field of public administration, particularly with the introduction of the Strategic Public Triangle in his seminal book "Creating Public Value: Strategic Management in Government" published in 1995. Advantages and Disadvantages of the Strategic Public TriangleThe Strategic Public Triangle serves as a guiding tool for consultants working in the public sector. It aids them in:Identifying the value their initiatives bring to the public.Ensuring they have the operational capability to deliver on their promises.Securing the necessary legitimacy and support from stakeholders, including political authorizers, beneficiaries, and the broader public.Advantages:Holistic Approach: The Strategic Triangle offers a comprehensive view of public management. It doesn't just focus on the value delivered but also takes into account the means of delivery and the surrounding environment. For instance, when a city plans to introduce a new public transportation system, the triangle would prompt officials to consider not just the efficiency of the system, but also the infrastructure required and the public's reception to the change.Flexibility: The framework is versatile and can be applied across various public sector contexts, from local to federal levels. For example, whether a small town is trying to improve its local library services or a national government is overhauling its healthcare system, the Strategic Public Value Triangle can guide decision-making.Stakeholder Engagement: The triangle emphasizes the importance of legitimacy and support, ensuring that public managers remain deeply connected with their stakeholders. When a public school district, for instance, wants to revise its curriculum, using the triangle would mean not just focusing on educational outcomes but also engaging with parents, teachers, and students to gain their support.Disadvantages:Complexity: The intricate interplay between the triangle's three elements can be challenging to navigate. For instance, a public health initiative aiming to reduce smoking might deliver public value and have operational capability, but if it doesn't gain the support of certain influential groups, its effectiveness could be compromised.Potential for Overemphasis: There's a risk that public managers might focus too much on one element of the triangle at the expense of the others. A city might, for example, pour resources into a state-of-the-art waste management facility (operational capability) but neglect to consider whether the public sees it as a priority (public value) or if it has the political backing needed (legitimacy and support).Requires Continuous Monitoring: The dynamics of the public sector mean that the elements of the triangle can change rapidly. A policy that enjoys broad public support today might face opposition tomorrow due to changing political or social climates. For example, a renewable energy initiative that is popular during a period of environmental activism might lose traction if economic downturns shift public focus to immediate job creation. Alternative FrameworksSeveral other management and strategic frameworks can be applied in the public sector, including:SWOT Analysis: Evaluates strengths, weaknesses, opportunities, and threats.Balanced Scorecard: Focuses on performance metrics across various perspectives.PESTEL Analysis: Considers political, economic, social, technological, environmental, and legal factors affecting an organization.Logic Model: A tool used to visualize the relationship between resources, activities, outputs, and outcomes of a program. A Concept for Understanding Public ValueThe Strategic Public Triangle, conceptualized by Prof. Mark H. Moore, helps consultants in public management. It underscores the necessity of not only delivering tangible value to the public but also ensuring that the means of delivery are robust and that there's a harmonious relationship with the surrounding political and social environment. While it offers a comprehensive and flexible approach, it also demands astute understanding and continuous engagement from public managers. In an ever-evolving public sector landscape, tools like the Strategic Public Triangle remain indispensable, guiding public servants and consultants alike in their quest to create lasting public value. As with any framework, its effectiveness lies in its application, urging those in the public realm to strike a balance between value, capability, and legitimacy.

There are several common case types that occur in case interviews for management consulting roles. Profitability cases are some of the most frequent ones. These cases require a structured approach, analytical thinking, and a deep understanding of business fundamentals. Let’s take a look at what profitability cases actually are and how you can approach them successfully. Profitability Cases – The Number 1 Reason for Most Consulting ProjectsOne of the most common reasons why firms instruct consulting firms with their projects is that they struggle with their profitability. As a consultant you will have to diagnose the underlying issues, come up with potential solutions and recommend actions to improve profitability.As a candidate in a case interview, the task is pretty much the same, but on a smaller scale. The good news is: Once you have understood the basic structure of profitability cases, you can solve them no matter the industry or concrete business scenario. The underlying concept is always the same and not very difficult.Profitability issues always stem from falling revenues, rising costs, or both. It is as simple as that. Your task will be two-fold: Perform a structured and quantitative analysis of the data to isolate the problem, and then find a promising solution. In most cases, you can use the profitability framework to structure the problem, but make sure to not blindly apply it, but to really understand the problem at hand and make adjustments as needed in the concrete business scenario. The Profitability Framework – A Basic Tool to Structure Your Profitability CaseThe Profitability Framework is a fundamental tool for approaching profitability cases. It is basically an issue tree that breaks down profitability into its key components: revenues and costs.In the first place, this equation is pretty straightforward and not complicated at all. Next, it is your task to understand each side of the equation and identify the cause for declining profitability. There could be three reasons:Revenues have been declining.Costs have been increasing.Revenues have been declining and costs have been increasing.(Always make sure to remember this option. It happens pretty easily that candidates identify either revenue or cost issues as the problem, completely focus on one side of the issue tree and forget to zoom out again, take a look at the big picture and consider the other side of the equation as well.)So, the first question to get an answer to is “Have revenues been declining?”, “Have costs been increasing?”, or “Have revenues been declining and costs been increasing? And if so, which one is the bigger problem?”. Whenever you get the information that something has changed: quantify it! Ask by how much and in what time period. Depending on the answer, you will know on which side of your profitability tree you need to start your analysis. Always start with the most relevant driver (Pareto Principle).💡 Pro Tip: When trying to find out where to start your analysis, keep in mind to communicate like a consultant. A Bainie would not go to the client and bluntly ask “Have your revenues been declining?”, but rather formulate a question like “How have your revenues been developing over the past five years?”. It may be possible that your interviewer will then share an exhibit with you that not only contains revenue information, but also valuable insights on product lines, geographies or other relevant data, which you can use throughout the case. Scenario 1: Revenues Have Been DecliningLet’s assume, the profitability problem stems from declining revenues. There are many potential reasons for this and you need to find out which one applies in order to come up with a solution. Most important for your analysis is to stay structured at all times.1. Understand How the Business Makes RevenueTo structure your analysis of declining revenues, you need to understand the business model of the company you advise. So basically answer the questions:How does this company make revenue?What does the revenue consist of?Which component of the revenue has been declining?Understanding your client’s business model is absolutely crucial for your revenue analysis. Only when you know which products the company sells and which customers it serves, will you be able to give solid advice on how to solve profitability problems.2. Break Down the Revenue into its Single ComponentsOnce you have understood the general business model of your client, you can go on and break down the revenue into its components. Depending on the business model of the company, the equation can differ.Let’s take a look at some examples depending on different industries:Manufacturing and Retail IndustryRevenue = Number of Units Sold × Selling Price per UnitNumber of Units Sold: The total quantity of products manufactured or sold to customers.Selling Price per Unit: The price at which each unit of product is sold to distributors, retailers or customers.Subscription-Based Services (e.g., Streaming Services, Software as a Service)Revenue = Number of Subscribers × Monthly Subscription FeeNumber of Subscribers: The total number of customers who subscribe to the service.Monthly Subscription Fee: The amount charged to each subscriber on a monthly basis.E-commerce IndustryRevenue = Number of Transactions × Average Transaction ValueNumber of Transactions: The total number of orders placed by customers.Average Transaction Value: The average amount spent by customers per transaction.Advertising Industry (e.g., Digital Advertising, Print Media)Revenue = Impressions or Clicks × Cost per Impression or ClickImpressions or Clicks: The total number of times an ad is viewed or clicked by users.Cost per Impression or Click: The cost charged to advertisers for each impression or click generated.Hospitality Industry (e.g., Hotels, Restaurants)Revenue = Number of Rooms or Seats Occupied × Average Room Rate or Meal PriceNumber of Rooms or Seats Occupied: The total number of rooms booked or seats occupied by guests.Average Room Rate or Meal Price: The average price charged per room or meal.It becomes obvious that there is no one-size-fits-all-solution for a revenue analysis. You need to adjust your approach according to the client’s business model and needs.3. Analyze the Single Components of the Revenue ModelOnce you have a clear picture of what the revenue of your client is composed of, you can go on with your analysis by focusing on the component of the equation that appears to be the problem. For example, if your client is a manufacturer with declining revenues, you should find out if the number of units sold has been decreasing or the selling price per unit has been lowered (or a combination of both).If the number of units sold has decreased, you go on with a further analysis on the reasons behind. These can be manifold, so make sure to stay structured and use segmentation to get to the root cause of the problem.The segmentation you use needs to be customized to the case at hand. Make sure to let your interviewer know your thoughts and guide him or her through the case. That way, you will usually get valuable hints on which direction to go.Examples for segmentations are:Product segmentation: Product types? Price ranges? Packaging sizes?Customer segmentation: Small / medium-sized / large businesses? Age groups? Sex? Income groups?Market segmentation: Geographies? Industry verticals?Channel segmentation: Distribution channels?If you’ve found the biggest driver of the problem, you oftentimes have to switch to a more qualitative framework (for example the 4 Cs) to find the underlying root cause. For example: when you have less revenue, but the price is the same and units sold dropped, you have to find out why. Is there a new competitor on the market? Do you have quality problems, or did you just stop a marketing initiative that you ran for years prior to this drop?The same procedure applies if pricing seems to be the issue for declining revenues. “Let’s increase prices” might be an easy recommendation to give, but most likely too easy to be valuable. It is crucial to understand first, why prices have decreased and again, the reasons might be diverse. Make sure to use a structured approach in order to pinpoint the exact problem.Possible reasons and forces for decreasing prices may be:Internal:Increased Supply: Overproduction or excess inventory can lead to discounted pricing to clear out stock.Competitive Pricing: Aggressive pricing strategies by competitors can force companies to lower prices to remain competitive.External:Price Sensitivity of Customers: Changes in customer price sensitivity and purchasing behavior can influence demand and pricing strategies.Market Saturation: Increased competition and market saturation can lead to price wars and downward pressure on prices.Economic Conditions: Economic downturns or recessions can impact consumer purchasing power and demand for products.Exchange Rates: Fluctuations in exchange rates can affect import/export prices and overall cost structure. It may not be surprising that when looking out for the reasons of the client’s revenue problem, staying structured is most important. Come up with solid hypotheses and validate or neglect them in the dialogue with your interviewer and based on the data that will be provided to you throughout the conversation. This requires flexibility and spontaneity, so learning frameworks by heart will not help you here. It is important to internalize the way of thinking a consultant uses and solve cases with peers to put it into practice.👉 To find like-minded candidates for mock interviews, take a look at our Meeting Board and simply accept one of the open invitations.