Table 8-4 The Following Is a Linear Programming Formulation of a Labor

question 54

Multiple Choice

Table 8-4
The following is a linear programming formulation of a labor planning problem. There are four overlapping shifts, and management must decide how many employees to schedule to start work on each shift. The objective is to minimize the total number of employees required while the constraints stipulate how many employees are required at each time of day. The variables X₁ - X₄ represent the number of employees starting work on each shift (shift 1 through shift 4) .
-According to Table 8-4, which describes a labor planning problem and its solution, how many workers would actually be on duty during shift 1?

• A) 12
• B) 13
• C) 0
• D) 29
• E) None of the above

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Definitions:

Processor Scanning

The process by which a programmable logic controller's processor reads input states, executes logic, and updates outputs cyclically.

STI Instruction

An instruction used in some programmable logic controllers (PLCs) to specify actions that occur at timed intervals, typically for periodic tasks.

Starter Auxiliary Contact

An auxiliary switch in a motor starter that provides a secondary set of contacts for controlling additional functions or status indication.

Programmed Contact

A virtual representation of a physical contact in a PLC program, which can be turned on or off based on program logic.