Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
The problem describes a Cournot duopoly with two firms, Boors and Cudweiser, producing identical non...
MicroeconomicsCournot DuopolyOptimizationMarginal RevenueMarginal CostReaction Function
2025/7/1
The problem describes a market with 100 identical firms. Each firm has a short-run total cost (STC) ...
MicroeconomicsSupply and DemandCost FunctionsMarket EquilibriumOptimization
2025/7/1
The problem describes a production function $Q = K^a L^b$, where $Q$ is the quantity produced, $K$ i...
Production FunctionIsoquantsReturns to ScaleEconomics
2025/7/1
The problem describes a monopolist's total cost function $TC = 0.1Q^2 - 2Q + 100$ and marginal cost ...
OptimizationMicroeconomicsMarginal AnalysisCalculus
2025/7/1
A chemical company in a perfectly competitive industry has a short-run total cost curve $TC = (1/3)q...
OptimizationQuadratic EquationsMarginal CostPerfect CompetitionEconomics
2025/7/1
The problem states that the production function is given by $Q = K^2L^2$, where $Q$ is the quantity ...
Production FunctionMarginal Product of CapitalPartial DerivativesEconomics
2025/7/1
The problem describes a scenario where two similar firms form a perfect cartel to maximize their pro...
MicroeconomicsCartelProfit MaximizationDemand CurveMarginal RevenueMarginal CostTotal RevenueTotal Cost
2025/7/1
The problem asks to determine the profit-maximizing output level, the corresponding price, and the p...
MicroeconomicsMonopolyProfit MaximizationMarginal CostMarginal RevenueDemand CurveAverage Cost
2025/7/1
The problem describes a price-setting leader firm facing a competitive fringe. SC is the supply of ...
MicroeconomicsMarket EquilibriumSupply and DemandMarginal RevenueMarginal CostOptimization
2025/7/1
The problem states that an unregulated electric company is a monopolist and faces a demand curve of ...
MicroeconomicsMonopolyDemand CurveMarginal CostMarginal RevenueProfit MaximizationCalculus (Differentiation)
2025/7/1