Case Study: Bangalore Textile Company

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- Assignment 1:
- Bangalore Textile Company :
Bangalore textile company has in it’s a possession a plant capable of producing 6 types of suit materials . this production is currently realized by using a total of 40 machines divided in two categories , which are regular machines and super machines . the regular machines can only afford the manufacturing of materials types 1 ; 2 and 3 while the super machine are more flexible because they generate all 6 material types . knowing that there is 25 regular machines and 15 super machines in addition to a plant operating capacity of 24 hours a day for the 30 days of next month , the company is obliged to meet the customer demand requirements based on established forecasts
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and as we remark the cost expenses of the products realization are lower than the price that is paid by the customer to obtain it . Hence , the situation allows to the company to benefit from positive margins .
-Due to the use of ‘’Management scientist’’ we can likewise extract the slack/surplus value as well as the dual prices linked to each constraint . the dual price is generally associated with constraints in order to determine how much the optimal value of the objective function will improve per unit regarding the amount of resources available.
Table 6 : for slack/surplus and Dual price :

Example : Based on the previous table the dual price value of the constraint 2 is 2.15 , so if we decide to increase by one from 0 to 1 then the objective optimal solution will be ameliorated by 2.15. this improvement actually means that the profit will be maximized .consequently the value of the optimal solution will be ( 859325,156 – 2,15 ) = 859323,006

. In order to calculate the value of additional production time for each type of machine and the value of an additional machine for each type we should proceed as follow :
The production constraint related to regular machines is :
R1*6.5 + R2*6.2 + R3*6.0 <= 6.5+6.2+6.0 (24 * 25 * 30)
So in case an additional production time is added , a change will occur