1.

A company producing soft drinks has a contract which requires a minimum of 80 units of chemical A and 60 units of chemical B to go in each bottle of the drink. The chemicals are available in a prepared mix from two different suppliers.Suppleer X has a mix of 4 units of A and 2 units of B that costs Rs.10, and the supplier Y has a mix of 1 unit of A and 1 unit of B that costs Rs4. How many mixes from X and Y should the company purchase to honour the contract requirement and yet minimize the cost ?

Answer»


SOLUTION :Let the COMPANY purchase X mixes from X and y mixes from Y. Then, minimize `Z=10x+4y,` SUBJECT to the CONSTRAINTS
`xge0,yge0,4x+yge80and2x+3yge60.`


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