Tuesday, December 26, 2017

Linear Programming - Feasibility and Multiple optimal solution

An organization produces paints of two qualities A and B. Profit on A and B are given as Rs 500/ litre and Rs. 800/ litre respectively. These paints are made using three important Chemicals - L, M and N. Their requirements in Paint A are given as 30, 40 and 25 units per litre respectively. Corresponding numbers for Paint B are 50, 30 and 20. These chemicals are available in 1500, 1200 and 1000 units per day. The decision involved is related to quantity of paint A and paint B to be produced per day.
a) Give two examples of feasible solutions and explain why they are so.    
b) Give one example for which Chemicals M and N are available in sufficient quantities but Chemical L is short and explain why it is so.     

c) Change the profit value of paint B so that there are multiple optimal solutions with quantity of paint A to be produced being more than 15 litres/day.                  


And the solution is available at 

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