Question

Fine’s Furniture is known for its fine cedar chests. The tasks necessary to assemble the cedar chests, the length of time needed to perform each task, and the operations that must be complete prior to subsequent operations are given below. With a production quota of 300 units in a 35 hour week, the desired cycle time is closest to ______.

Element |
Time
(min) |
Predecessors |

A | 2 | NONE |

B | 3 | A |

C | 5 | B |

D | 5 | NONE |

E | 4 | D |

F | 1 | NONE |

G | 2 | F |

H | 4 | C, E, G |

Group of answer choices

11 minutes

8 minutes

5 minutes

7 minutes

b)

Using the cycle time from the previous question, the minimum number of workstations that can be used on the assembly line and still reach the production quota is

Group of answer choices

5

3

4

6

c)

Which one of the following workstation allocations is feasible for Fine’s Furniture?

Group of answer choices

AD, BE, C, FGH

AB, DE, CF, GH

AD, BE, FG, CH

ABF, DG, C, EH

d)

The actual efficiency of the line balanced above is closest to

Group of answer choices

93%

100%

95%

82%

Answer #1

a.

The Cycle Time =

**C.T = Available Time / Output = 35 X 60 / 300 = 7
Minutes**

**The desired cycle time is of 7 Minutes**

b.

**The minimum number of work staitons ( theoretical ) =
Summation of all the C.T's ( Cycle Times) /Cycle Time = 26/7 = 3.41
= 4 number of Stations**

c.

According to the precedence relationship, the workstation allocation that seems suitable for the given problem according to Balancing the line algorithm is :

Since we have a Cycle Time of 7 Minutes, out the given options the following option satisfies the condition :

**AB, DE, CF, GH**

d.

**Efficiency is given by= Summation of all the task times
/ (Cycle Time * Number of Work Stations) = (26/(7*4)) = 0.92 or 92
%**

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