Local Value Farms uses two types of manure which contain the following chemicals. Type A Type B Magnesium 18 3 Copper 5 2 Zinc 2 5 For a certain crop the following minimum quantities (kg) are required. Magnesium 100 Copper 50 Zinc 40 Type A cost $10 per kg and Type B costs $5 per kg. Local Value Farms Ltd currently buys arbitrarily 1,000 kg of each of manure. However, it wishes to minimise its expenditure on manure. Find: Dons a. By defining your variables, find the inequalities and objective function that represent the above information. From MS Excel Solver, using either the Answer or Sensitivity Report, state: b. the quantities of Type A and Type B which should be bought and the costs of buying this optimal mix. c. the value and nature of the objective coefficient for Type A manure.

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Quantitative Methods II - Question 1

Please assist with a. b. & c.

Question 1
Local Value Farms uses two types of manure which contain the following chemicals.
Type A
Type B
Magnesium
18
3
Copper
5
2
For a certain crop the following minimum quantities (kg) are required.
Magnesium 100
Zinc 40
Zinc
2
5
Copper 50
Type A cost $10 per kg and Type B costs $5 per kg. Local Value Farms Ltd currently buys
arbitrarily 1,000 kg of each of manure. However, it wishes to minimise its expenditure on manure.
Find:
a. By defining your variables, find the inequalities and objective function that represent
the above information.
From MS Excel Solver, using either the Answer or Sensitivity Report, state:
b. the quantities of Type A and Type B which should be bought and the costs of buying
this optimal mix.
c. the value and nature of the objective coefficient for Type A manure.
d. the range of allowable quantities of Type A and B manure within which the objective
coefficient remains the same.
(ATTACH YOUR ANSWER REPORT AND SENSITIVITY REPORT TO YOUR
SOLUTION)
Transcribed Image Text:Question 1 Local Value Farms uses two types of manure which contain the following chemicals. Type A Type B Magnesium 18 3 Copper 5 2 For a certain crop the following minimum quantities (kg) are required. Magnesium 100 Zinc 40 Zinc 2 5 Copper 50 Type A cost $10 per kg and Type B costs $5 per kg. Local Value Farms Ltd currently buys arbitrarily 1,000 kg of each of manure. However, it wishes to minimise its expenditure on manure. Find: a. By defining your variables, find the inequalities and objective function that represent the above information. From MS Excel Solver, using either the Answer or Sensitivity Report, state: b. the quantities of Type A and Type B which should be bought and the costs of buying this optimal mix. c. the value and nature of the objective coefficient for Type A manure. d. the range of allowable quantities of Type A and B manure within which the objective coefficient remains the same. (ATTACH YOUR ANSWER REPORT AND SENSITIVITY REPORT TO YOUR SOLUTION)
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