For which of the following situations, linear programming can be applied?

Explanation:

Linear programming (LP)

• Linear programming (LP) in industrial engineering is used for the optimization of our limited resources when there is a number of alternate solutions possible for the problem like material selection.
• The real-life problems can be written in the form of a linear equation by specifying the relation between its variables. 
• Linear programming is used for obtaining the most optimal solution for a problem with given constraints.
• Using linear programming requires defined variables and constraints, to find the largest objective function (maximization).
• In some cases, linear programming is instead used for the smallest possible objective function value (minimization).
• Linear programming requires the creation of inequalities and then graphing those to solve problems.
• Some linear programming can be done manually.
• When the variables and calculations become too complex and require the use of computational software.

Forecasting and Scheduling:

1. Forecasting:

• The main purpose of forecasting is to estimate the occurrence, timing, or magnitude of future events.
• Once, the reliable forecast for the demand is available, good planning of activities is needed to meet the future demand.
• Forecasting thus provides input to the planning and scheduling process. 

2. Scheduling:

• Scheduling involves fixing the priorities for different jobs and deciding the starting and finishing time of each job.
• The main purpose of scheduling is to prepare a time-table indicating the time.
• Scheduling is used to allocate resources over time to accomplish specific tasks.
• It should take account of the technical requirement of the task, available capacity, and forecasted demand.
• The output plan should be translated into operations, timing, and schedule on the shop floor.
• Detailed scheduling encompasses the formation of the starting and finishing time of all jobs at each operational facility.
• Gant Chart is used for scheduling after forecasting.