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This question tests the student's ability to model and solve Integer Programming problems
Metadata
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
Contributors
History
Julien Ugon was given access to the Musa's SIT316 Week XXX Q2 1 year, 8 months ago
Musa Mammadov 1 year, 8 months ago
Published this.Musa Mammadov 4 years, 9 months ago
Created this as a copy of Musa's SIT316 Week 2 Q2.There are 88 other versions that do you not have access to.
| Name | Type | Generated Value |
|---|
| p15 | integer |
19
|
||||
| v20 | integer |
23
|
||||
| b6 | integer |
6
|
||||
| c013 | number |
0.15
|
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| c017 | number |
0.19
|
||||
| v15 | integer |
19
|
||||
| p30 | integer |
28
|
||||
| b20 | integer |
19
|
||||
| v2250 | integer |
2249
|
||||
| p3000 | integer |
2999
|
||||
| b1600 | integer |
1582
|
||||
| p151 | integer |
30
|
||||
| v201 | integer |
40
|
||||
| b61 | integer |
12
|
||||
| c0131 | number |
0.26
|
||||
| c0171 | number |
0.34
|
||||
| v151 | integer |
30
|
||||
| p301 | integer |
60
|
||||
| b201 | integer |
40
|
||||
| v22501 | integer |
4500
|
||||
| p30001 | integer |
6000
|
||||
| b16001 | integer |
3000
|
||||
| kv | integer |
2
|
||||
| kp | integer |
2
|
||||
| kb | integer |
2
|
||||
| kc | integer |
2
|
| Name | Type | Generated Value |
|---|
Generated value: integer
- v20
- b6
This variable doesn't seem to be used anywhere.
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Gap-fill
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Ask the student a question, and give any hints about how they should answer this part.
A patient’s doctor advises her to buy two types of pills that will replenish the deficiency of vitamin A, potassium and beta carotene in her diet. Each type of Pill I contains {v201} units of vitamin A, {p151} units of potassium, {b61} units of beta carotene, and costs {c0131} $. Each type of Pill II contains {v151} unit of vitamin A, {p301} units of potassium, {b201} units of beta carotene, and costs {c0171} $. The patient needs a minimum of {v22501} units of vitamin A, a minimum of {p30001} units of potassium and a minimum of {b16001} units of beta carotene. She wishes to minimize the cost of the pills.
Formulate the linear programming problem using variables x1 (for x1 Pill I), ...
Put ">=" for "≥" and "<=" for "≤".
A. Objective:
B. Give the system of constraints:
for vitamin A:
for potassium:
for beta carotene
C. Range of varables:
x1 is
x2 is
D. Optimal solution: x1 =
E. Minimal cost:
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