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Book/movie review
22/08/2022
Question 1
|
Activity |
Mean duration |
Std. dev. (days) |
|
A |
11 |
0.9 |
|
B |
13 |
1.1 |
|
C |
7 |
0.2 |
|
D |
9 |
0.8 |
|
E |
6 |
1 |
|
F |
7 |
1.2 |
|
G |
10 |
0.7 |
|
H |
9 |
0.6 |
|
I |
8 |
0.8 |
Table 1
Complete the following:
Question 2
A registered nurse is trying to develop a diet plan for patients. The required nutritional elements are the total daily requirements of each nutritional element as indicated in Table 2:
Required nutritional element total and daily requirements
|
Calories |
Not more than 2,700 calories |
|
Carbohydrates |
Not more than 300 grams |
|
Protein |
Not less than 250 grams |
|
Vitamins |
Not less than 60 units |
Table 2
The nurse has four basic types to use when planning the menus. The units of nutritional element per unit of food type are shown in Table 3 below. Note that the cost associated with a unit of ingredient also appears at the bottom of Table 3.
Required nutritional element and units of nutritional elements per unit of food type
|
Element |
Milk |
Chicken |
Bread |
Vegetables |
|
Calories |
160 |
210 |
120 |
150 |
|
Carbohydrates |
110 |
130 |
110 |
120 |
|
Protein |
90 |
190 |
90 |
130 |
|
Vitamins |
50 |
50 |
75 |
70 |
|
Cost per unit |
£0.42 |
£0.68 |
£0.32 |
£0.17 |
Table 3
Moreover, due to dietary restrictions, the following aspects should also be considered when developing the diet plan:
Complete the following:
Provide a linear programming formulation for the above case. (You do not need to solve the problem.)
Individual Project
The purpose of this simulation project is to provide you with an opportunity to use the POM-QM for Windows software to solve a linear programming problem and perform sensitivity analysis.
POM-QM for Windows software
For this part of this project, you will need to use the POM software:
Note: You can retrieve the POM-QM for Windows software from either the CD-ROM that accompanied your Heizer and Render (2011) textbook.
Note: Do not program the non-negativity constraint, as this is already assumed by the software.
For additional support, please reference the POM-QM for Windows manual provided in this week’s Learning Resources.
Individual Project problem
A firm uses three machines in the manufacturing of three products:
The contribution margin of the three products is £30, £40 and £35 per unit, respectively.
Available for scheduling are:
The linear programming formulation of this problem is as follows:
Maximise Z = 30X1 + 40X2 + 35X3
3X1 + 4X2 + 2X3 <= 90
2X1 + 1X2 + 2X3 <= 54
X1 + 3X2 + 2X3 <= 93
With X1, X2, X3 >= 0
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