An operations manager wants to determine the optimum (the least costly) arrangem

Question

An operations manager wants to determine the optimum (the least costly) arrangement of four work centers (A, B, C, and D) in four areas (I, II, III, and IV) on an existing shop floor. The handling/transportation cost is 50 +n cents per load per yard. The work flow matrix, distance matrix, and current process layout for this operation are as follow: Work Flow Matrix (Loads per Day) Distance Matrix (Yards) FromTo I FromTo A A - B 2 | C 120 +n B 5 - 2 C 12 0 - D | 20 15 1 10 Z II III IV 7 | 12 | 23 - 10 20 10 The reverse distances are the same. Current Process Layout " B | " C Y » Example: Handling/Transportation Cost 50¢ + ng = $0.50 + $0.45 = $0.95 per load per yard Work Flow from C to A = 20 +n= 20 + 45 = 65 loads

Explanation / Answer

(A)

Workflow between A and C = A-to-C + C-to-A = 12 + 20 + n = 12 + 20 + 48 = 80

(B)

Load x Yard = (5+2) x 7 + (12+68) x 12 + (20+8) x 23 + (0+2) x 10 + (15+5) x 20 + (10+7) x 10 = 2243

Cost per load x yard = $0.98

Total cost = 2243 x $0.98 = $2198.14

(C)

We assign the minimum distances to the flows having maximum work flows.

The optimal assignment becomes: A:II; B:IV; C:I; D:III

Load x Yard = (5+2) x 20 + (12+68) x 7 + (20+8) x 10 + (0+2) x 23 + (15+5) x 10 + (10+7) x 12 = 1430

Cost per load x yard = $0.98

Total cost = 1430 x $0.98 = $1401.4

Work flow between Dist. A C 80 7 A D 28 10 B D 20 10 C D 17 12 A B 7 20 B C 2 23

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.