Applied Mathematics
Problems related to numerical analysis, optimization, mathematical modeling, etc.
Problems in this category
The problem asks to create a linear cost function $C(x)$ for a company, where $x$ is the number of i...
Linear FunctionsCost FunctionModeling
2025/5/27
We are given the total cost function $C(x) = -2350 + 80x - 0.04x^2$ and the price function $P(x) = 2...
CalculusOptimizationMarginal AnalysisProfit FunctionRevenue FunctionCost FunctionDerivatives
2025/5/27
A company makes square boxes (2 minutes to make, profit of K4) and triangular boxes (3 minutes to ma...
OptimizationLinear ProgrammingConstraintsInteger Programming
2025/5/27
We are given an initial investment of K4,000 at an annual interest rate of 6%, compounded annually. ...
Compound InterestExponential FunctionsFinancial Mathematics
2025/5/27
We are given an initial investment of K4,000 at an annual interest rate of 6%, compounded annually. ...
Compound InterestExponential FunctionsFinancial MathematicsModeling
2025/5/27
Miss Yu takes out a home loan of $360,000 at 5% per annum for 30 years. We need to calculate her mon...
Financial MathematicsLoansCompound InterestCalculations
2025/5/27
The problem describes the financial situation of Monsieur DIALLO's company on January 1st, year N. ...
AccountingFinancial Statement AnalysisBalance SheetAssetsLiabilitiesEquity
2025/5/26
The problem asks to determine the "Résultat net" (Net Income) of a company named LEER.SA as of Janua...
AccountingFinancial StatementsBalance SheetNet IncomeAssetsLiabilitiesEquity
2025/5/26
The problem requires us to calculate the "Résultat net" (Net Income) for LEER.SA as of 1.1.2018, giv...
AccountingFinancial Statement AnalysisNet IncomeAssetsLiabilitiesEquityAccounting Equation
2025/5/26
The problem asks us to find the moments of inertia $I_x$, $I_y$, and $I_z$ for the lamina bounded by...
CalculusMultivariable CalculusMoments of InertiaDouble IntegralsLamina
2025/5/25