homework 1d
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Rachna Patel
Oct 8, 2011, 1:19:56 PM10/8/11
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Anyone complete this?
Subramaniam Narayanan
Oct 8, 2011, 2:32:29 PM10/8/11
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Attaching my excel spreadsheet for part (a)
For pat(b), here are my comments:
1. Linearity of the objective function:
The profit contribution of X1 and X2 are constant irrespective of the number of shoes(X1) or purses(X2) produced.
2. Additivity of the objective function:
There is no synergy between the number of shoes(X1) produced and the number of purses(X2) produced.
3. Linearity of the constraints:
The recipe used to produced shoes(X1) and purses(X2) remain the same irrespective of their total numbers produced.
4. Additivity of the constraints
The resource used to produce shoes(X1) does not affect the resources required to produce purses(X2)
5. Certainty
The decision to produce shoes(X1) and purses(X2) can be used with a fair amount of certainty, even though the profits contribution for shoes and purses may not be known for certain. However, there is very less uncertainty involved and hence the solution can be accepted.
6. Divisibility
Though we cannot produced non-integer number of shoes(X1) or purses(X2), we can still use the solution by rounding off to an integer without affecting the overall profit goals.
For pat(b), here are my comments:
1. Linearity of the objective function:
The profit contribution of X1 and X2 are constant irrespective of the number of shoes(X1) or purses(X2) produced.
2. Additivity of the objective function:
There is no synergy between the number of shoes(X1) produced and the number of purses(X2) produced.
3. Linearity of the constraints:
The recipe used to produced shoes(X1) and purses(X2) remain the same irrespective of their total numbers produced.
4. Additivity of the constraints
The resource used to produce shoes(X1) does not affect the resources required to produce purses(X2)
5. Certainty
The decision to produce shoes(X1) and purses(X2) can be used with a fair amount of certainty, even though the profits contribution for shoes and purses may not be known for certain. However, there is very less uncertainty involved and hence the solution can be accepted.
6. Divisibility
Though we cannot produced non-integer number of shoes(X1) or purses(X2), we can still use the solution by rounding off to an integer without affecting the overall profit goals.
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