Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
The problem states that a farmer's total cost (TC) function is given by $TC = 0.1q^2 + 2q + 30$ and ...
Cost FunctionMarginal CostOptimizationEconomics
2025/7/1
The problem states that the demand for beef is given by $QD = 1000 - 5P$. Initially, 500 heads of be...
DemandSupplyLinear EquationsPrice Elasticity
2025/7/1
The problem states that goats (G) can be fed corn-based feed (C) or soybean-based feed (S). The prod...
OptimizationLinear ProgrammingCost MinimizationProduction Function
2025/7/1
We are given a production function $Q = K^{0.5}L^{0.5}$ and asked to determine its returns to scale ...
Production FunctionReturns to ScaleMarginal ProductivityPartial DerivativesEconomics
2025/7/1
The problem gives a production function $q = K^{1/2}L^{1/3}$, where $q$ is the quantity of output, $...
Production FunctionCost AnalysisOptimizationMicroeconomics
2025/7/1
The problem asks what happens to the marginal revenue curve of a firm when the demand curve shifts t...
MicroeconomicsMarginal RevenueDemand CurveCalculus (Implicit)
2025/7/1
The question asks what is true when a monopoly is maximizing profits. The options relate price to el...
MicroeconomicsMonopolyProfit MaximizationMarginal RevenueMarginal CostElasticity of Demand
2025/7/1
Two firms, Boors and Cudweiser, are Cournot competitors selling identical beer. Market demand is $P ...
OptimizationEconomicsCournot CompetitionSimultaneous Equations
2025/7/1
The problem asks us to minimize the cost of producing 40 units of output given the production functi...
OptimizationLinear ProgrammingProduction FunctionCost Minimization
2025/7/1
The problem states that a monopolist faces a market demand curve given by $P = 1000 - 5Q$. The monop...
MicroeconomicsMonopolyProfit MaximizationMarginal RevenueMarginal CostDemand Curve
2025/7/1