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Question 51) Referring to Table 8-5, if we were to frame this

Question 51) Referring to Table 8-5, if we were to frame this

Question

51) Referring to Table 8-5, if we were to frame this as a linear programming problem, the objective function would be

A) maximize 9B + 12T.

B) maximize 9T + 12B.

C) minimize 10T + 10B.

D) maximize 12T + 10B.

E) None of the above

52) Referring to Table 8-5, which of the following constraints would be used?

A) 10T + 12B ? 12

B) 1T + 1B ? 10

C) 1T + 2B ? 12

D) All of the above

E) None of the above

53) Referring to Table 8-5, which of the following constraints would be used?

A) maximize 9T + 12B

B) 9T + 12B ? 12

C) 12T + 9B ? 10

D) 10T + 10B ? 10

E) None of the above

Skills

54) Referring to Table 8-5, suppose that this problem requires that you use all the varnish for the week. How would the linear programming representation change?

A) 1B + 1T ? 10 will become 1B + 1T ? 12.

B) 1B + 1T ? 10 will be replaced by 1B + 1T ? 10.

C) 1B + 1T ? 10 will become 1B + 1T = 10.

D) 2B + 1T ? 12 will become 2B + 1T = 12.

E) None of the above

55) Referring to Table 8-5, the solution to the problem is

A) T = 10, B = 0.

B) T = 0, B = 10.

C) T = 0, B = 6.

D) T = 8, B = 2.

E) None of the above

56) Referring to Table 8-5, which of the following constraints would be used?

A) 9T + 12B ? 12

B) 1T + 1B ? 10

C) 1T + 2B ? 12

D) All of the above

E) None of the above

Table 8-6

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).

57) According to Table 8-6, which describes a labor planning problem and its solution, how many workers would be assigned to shift 1?

A) 12

B) 13

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