1) Given the pipeline fluid flows indicated below, determine the maximum flow from Node 1 to Node 5.
|
|
From
Node
|
To
Node
|
Fluid
Flow
|
|
1
|
1
|
2
|
300
|
|
2
|
2
|
1
|
0
|
|
3
|
1
|
3
|
0
|
|
4
|
3
|
1
|
150
|
|
5
|
1
|
4
|
200
|
|
6
|
4
|
1
|
200
|
|
7
|
1
|
5
|
100
|
|
8
|
5
|
1
|
100
|
|
9
|
2
|
4
|
200
|
|
10
|
4
|
2
|
200
|
|
11
|
3
|
4
|
250
|
|
12
|
4
|
3
|
300
|
|
13
|
3
|
5
|
300
|
|
14
|
5
|
3
|
250
|
|
15
|
4
|
5
|
100
|
|
16
|
5
|
4
|
0
|
2. Two models of a product - Regular (X) and Deluxe (Y) - are produced by a company. A linear programming model is used to determine the production schedule. The formulation is as follows:
Maximize profit = 50X + 60Y
Subject to: 8X + 10Y <= 800 (labor hours)
X + Y<= 120 (total units demanded)
4X +10Y<= 500 (raw materials)
X, Y >= 0
The optimal solution is X=100, Y=0.
Which of these constraints is redundant?
2. Given that the MAD for the following forecast is 2.5, what is the actual value in period 2?
|
Period
|
Forecast
|
Actual
|
|
1
|
100
|
95
|
|
2
|
110
|
|
|
3
|
120
|
123
|
|
4
|
130
|
130
|
3. Andre Candess manages an office supply store. One product in the store is computer paper. Andre knows that 10,000 boxes will be sold this year at a constant rate throughout the year. There are 250 working days per year and the lead-time is 3 days. The cost of placing an order is $30, while the holding cost is $15 per box per year. How many units should Andre order each time to minimize his annual inventory cost?
4. Demand for a product is constant, but the lead time fluctuates. The demand during the lead time is normally distributed with a mean of 40 and a standard deviation of 4. If they have calculated a reorder point of 45.12 units, what service level are they assuming?