Question #259624

Two vitamins A and B are to be given as health supplements on daily basis to students. There are two products Alpha & Beta which contain vitamins A and B. One unit of Alpha contains 2g of A and 1g of B. One unit of Beta contains 1g of A and 2g of B. Daily requirements for A and B are atleast 10g each. Cost per unit of Alpha is Rs. 20 and of Beta is Rs. 30. Formulate as LPP to satisfy the requirements at minimum cost


1
Expert's answer
2021-11-04T19:10:17-0400



Decision variables:

X1X_{1} =No. of units of Alpha per day


X2X_{2} =No. of units of Beta per day


Objective Function:

Min Z=20X1+30X2Z=20X_{1}+30X_{2}


Subject to constraints:

2X1+X2102X_{1}​+X_{2}​ \ge10


X1+2X210X_{1}+2X_{2}​ \ge10


X1,X20X_{1}, X_{2}\ge0


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