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Case Study #1:
Cost Minimization and Production Decisions for a Corn
Farm
Scenario: The Weinandt Family Farm in Wynot, NE raises livestock and grows crops.
Commonly grown crops in Nebraska are corn and soybeans. You are a consultant hired to help a
farm similar to the Weinandt Farm make decisions about how much corn to grow this year.
Assignment Details
Objective:
To use Excel for data analysis and apply economic concepts to make informed production and
cost minimization decisions for a corn farm.
Instructions:
1. Market Data Analysis:
• Using the provided market data, create a market supply and demand graph in
Excel.
• Determine the market equilibrium price and quantity for corn.
2. Cost and Quantity Estimates:
• Using the provided firm cost and quantity estimates, calculate the following:
• Fixed Costs (FC)
• Variable Costs (VC)
• Average Total Cost (ATC)
• Average Fixed Cost (AFC)
• Average Variable Cost (AVC)
• Marginal Cost (MC)
• Graph ATC, AFC, AVC, and MC in Excel.
3. Cost Minimization Analysis:
• Based on your calculations, identify the range of quantities over which the
Average Total Cost (ATC) is minimized.
• Determine the optimal quantity of corn that the farm should aim to produce to
minimize costs.
4. Revenue and Profit Analysis:
• Using the optimal quantity identified, estimate the Total Revenue (TR), Total
Cost (TC), and Profit/Loss for the farm.
• Calculate these values using the market equilibrium price.
5. Production Decision:
• Based on your analysis, decide whether the farm should grow corn or leave the
fields bare.
• Provide a detailed explanation of your decision, supported by your calculations
and economic concepts.
6. Market Entry/Exit Analysis:
• Analyze whether farms will enter this market, leave the market, or remain
constant based on the profitability and cost structure.
• Explain your reasoning using economic theory related to perfectly competitive
markets.
Excel Data and Calculations
Step 1: Market Supply and Demand Graph
• Create a Market Supply and Demand Graph:
• Plot the supply and demand curves using the provided market data.
• Identify the equilibrium point where the supply and demand curves intersect.
Step 2: Firm Cost Calculations
• Calculate Costs:
• Use the provided data to calculate FC, VC, ATC, AFC, AVC, and MC.
• Use Excel formulas to automate these calculations for different levels of output.
Step 3: Cost Minimization
• Graph Costs:
• Create graphs for ATC, AFC, AVC, and MC.
• Identify the range of output where ATC is minimized.
Step 4: Revenue and Profit Calculations
• Estimate Revenue and Costs:
• Calculate TR using the formula: TR = Price * Quantity
• Calculate TC using the formula: TC = FC + VC
• Determine Profit/Loss using the formula: Profit/Loss = TR – TC
Step 5: Production Decision
• Decision Making:
• Analyze your calculations to determine if growing corn is profitable.
• Consider economic principles such as cost structures, market conditions, and
profitability.
Step 6: Market Analysis
• Market Dynamics:
• Discuss the potential for new farms to enter the market or existing farms to exit
based on profitability.
• Use economic theories related to market entry and exit in perfectly competitive
markets.
Submission Requirements
1. Excel File:
• Submit an Excel file with all your calculations, graphs, and analysis.
• Ensure all formulas and data are correctly inputted and clearly labeled.
2. Written Report:
• Submit a comprehensive report that includes the following sections:
• Introduction: Overview of the scenario and objectives.
• Market Analysis: Supply and demand graph, equilibrium price, and
quantity.
• Cost Analysis: Detailed calculations and graphs of ATC, AFC, AVC, and
MC.
• Cost Minimization: Identification of the optimal production quantity.
• Revenue and Profit Analysis: Calculations of TR, TC, and Profit/Loss.
• Production Decision: Explanation of whether to grow corn or leave the
fields bare.
• Market Analysis: Discussion of market entry/exit dynamics.
• Conclusion: Summary of findings and recommendations.