Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
The problem describes a radially slotted arm whose rotation is governed by $\theta = 0.2t + 0.02t^2$...
KinematicsPolar CoordinatesDerivativesVelocityAccelerationEngineering Mechanics
2025/7/1
The problem describes a Cournot duopoly with two firms, Boors and Cudweiser, selling identical nonal...
MicroeconomicsDuopolyCournot ModelOptimizationMarket Equilibrium
2025/7/1
The problem describes a production function for coffee $C = min(B, W)$, where $B$ is coffee beans in...
OptimizationProduction FunctionMicroeconomicsCost Minimization
2025/7/1
The problem states that domestic beef producers face a demand of $QD = 1000 - 5P$. The Chinese then ...
Demand FunctionMarket EquilibriumLinear EquationsEconomics
2025/7/1
The problem describes a monopolist with a given total cost function $TC = Q^2 + 10Q + 100$, a margin...
MicroeconomicsMonopolyProfit MaximizationMarginal CostMarginal RevenueDemand FunctionTotal Cost
2025/7/1
The problem states that a farmer is a price taker for soybean sales. The total cost function is give...
OptimizationMicroeconomicsMarginal CostProfit MaximizationCalculus
2025/7/1
The problem gives a production function $q = K^{1/2} L^{1/3}$, where $q$ is the quantity of output, ...
Production FunctionMarginal CostCalculusOptimizationEconomics
2025/7/1
The problem states that a production function is given by $Q = K^a L^b$, where $K$ is capital and $L...
Production FunctionReturns to ScaleEconomicsExponents
2025/7/1
The problem states that a chemical company in a perfectly competitive industry has a short-run total...
OptimizationMarginal CostQuadratic EquationsEconomicsPerfect Competition
2025/7/1
The problem states that a farmer is a price taker in soybeans. The total cost (TC) function is given...
MicroeconomicsMarginal CostTotal CostFixed CostCalculus
2025/7/1