Solve optimization problems with integer, binary, and continuous variables using mathematical programming. Define variables, constraints, and objectives to find optimal solutions for resource allocation, scheduling, and decision-making scenarios.

Optimize investment portfolio allocation to maximize returns or minimize risk using asset data, budget constraints, and sector limits.

Optimize multi-period production planning to maximize profit or minimize costs by balancing product demand, resource capacity, and inventory constraints.

Solve optimization problems with integer or binary variables for discrete decision-making like facility location, crew scheduling, and project selection using linear programming.

Optimize linear objective functions with constraints for resource allocation, manufacturing, investment planning, and supply chain optimization using mathematical programming.