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 X 1 - X 4 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 be assigned to shift 1?
A) 12
B) 13
C) 0
D) 2
E) None of the above

Question

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 X 1 - X 4 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 be assigned to shift 1?
A) 12 
B) 13 
C) 0 
D) 2 
E) None of the above

Quizplus · Accepted Answer

Looking at the variable names, X₁ - X₄ represent the number of employees starting work on each shift (shift 1 through shift 4). The value for X₁ is 13, indicating that 13 workers would be assigned to shift 1.

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