Applied Mathematics

Problems related to numerical analysis, optimization, mathematical modeling, etc.

Problems in this category

The problem gives the demand function $75p + q = 2400$ and the supply function $150p - q = 675$. A ...

EconomicsSupply and DemandLinear EquationsTaxationEquilibrium Price and Quantity
2025/5/19

The problem asks us to find the market equilibrium point $(q, p)$ given the demand and supply functi...

Market EquilibriumLinear EquationsSystems of EquationsSupply and Demand
2025/5/19

The problem describes the costs associated with manufacturing a base model surge protector by Dynamo...

Cost FunctionLinear EquationsBusiness Applications
2025/5/19

The problem states that the relationship between the number of units sold, $x$, and the profit, $P$,...

Linear FunctionsMarginal ProfitCalculus (Derivatives)Modeling
2025/5/19

The problem provides the total cost function $C(x) = 35x + 1925$ and the total revenue function $R(x...

Profit FunctionCost FunctionRevenue FunctionBreak-Even AnalysisLinear EquationsBusiness Mathematics
2025/5/19

The image contains several biology-related questions. Let's focus on question V and VI, which involv...

BiologyGeneticsNucleotidesPercentage CalculationAlgebraic Equations
2025/5/19

The problem asks us to read a bar graph showing hours spent volunteering by Marshall. We need to det...

Data InterpretationBar GraphReading Graphs
2025/5/18

The problem asks us to find the volume of a pyramid with a height of 4 meters, given that the cross-...

CalculusIntegrationVolume CalculationGeometric Solids
2025/5/18

The problem asks at what temperature would the difference between Kelvin and Fahrenheit be 50. We ar...

Temperature ConversionLinear EquationsUnits Conversion
2025/5/17

The problem asks: At what temperature is the difference between Fahrenheit and Celsius equal to 50 d...

Temperature ConversionLinear EquationsAbsolute ValueProblem Solving
2025/5/17