Question

Exercise (collect in room 1117) 1. We want to buy a machine.There are 3 options a. Manual machine, b. Semiautomatic machine, c. Automatic machine. Show these 3 machines on Cost versus Quantity graph (show 3 curves in 1 graph). Then, how to choose the machine based on the curve in the graph 2. Precedence diagram: First we have to do activity A, then we can do activiy B or C, AdtivityD can be done after B and C are finished,fialywe can do activity E after Dis finished. Draw the precedence diagram. If we want to have 3 work stations, show at least four possible options Each option must comply precedence diagram.

Answer 1

1.

We need to consider the fixed cost, variable cost and the quantity for each of the machines. The total cost is given by the equation

Total cost = fixed cost + variable cost * quantity

For each of the machines, the fixed cost and variable cost will be set. However we need to change the value of quantity (as independent variable) and then determine the total cost (as dependent variable)

Let us consider the following

Manual machine: Fixed cost = 10000, Variable cost = 30

Semi-automatic machine: Fixed cost = 20000, variable cost = 25

Automatic machine: Fixed cost = 30000, variable cost = 5

Then we can create a chart as shown below.

Cost Quantity 2 Quantity Manua Semi Auto Automatic 32500 70000 33000 33500 34000 60000 500 25000 600 28000 700 31000 800 34000 900 37000 100040000 1100 43000 120046000 130049000 140052000 1500 55000 35500 50000 10 37000 40000 12 37500 14 15 16 30000 18 20000 19 10000 500 60070080 90 1000 1100 1200 1300 1400 1500 Manual 5emi Auto Automatic Sheet1125Sheet1 126 Sheet1 127 Sheet1 128 Sheet1129 Sheet1 130Sheet1131 READY +100%

2.

The precedence diagram is shown below.

A1 10 12 13 14 15 16 17 18 19 20 21 23 24 25 26 27 ..Sheet1126 Sheet1127 Sheet1128 Sheet1129 Sheet1130 Sheet1131 Sheet1132 囲回凹 + 100%

The possible workstation combinations are

Workstation 1: A & B

Workstation 2: C

Workstation 3: D & E

Workstation 1: A

Workstation 2: B

Workstation 3: C, D, E

Workstation 1: A, B, D

Workstation 2: C

Workstation 3: E

Workstation 1: A & C

Workstation 2: B

Workstation 3: D & E