Answer to Question #259624 in Operations Research for elakiya

Question

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

Answer 1

Decision variables:

$X_{1}$ =No. of units of Alpha per day

$X_{2}$ =No. of units of Beta per day

Objective Function:

Min $Z=20X_{1}+30X_{2}$

Subject to constraints:

$2X_{1}​+X_{2}​ \ge10$

$X_{1}+2X_{2}​ \ge10$

$X_{1}, X_{2}\ge0$