Join Sarthaks eConnect Today - Largest Online Education Community!
0 votes
73 views
asked in Mathematics by (5.8k points)

In order to supplement daily diet, a person wishes to take X and Y tablets. The contents (in milligrams per tablet) of iron, calcium and vitamins in X and Y are given as below.

The person needs to supplement at least 18 milligrams of iron, 21 milligrams of calcium and 16 milligrams of vitamins. The price of each tablet of X and Y is Rs. 2 and Rs.1, respectively. How many tablets of each type should the person take in order to satisfy the above requirement at the minimum cost ? Make an LPP and solve graphically.

1 Answer

+1 vote
answered by (11.6k points)
selected by
 
Best answer

Let the person takes x tablets of type X and Y tablets of type Y.

According to the given conditions,  we have

The shaded region AGHF represents the feasible  region of the given LPP. The corner points of the  feasible region are A(0, 9), G(1,, 9), H(6, 1) and F(8, 0).  The values of the objective function at these points  are given in the following table :

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

One Thought Forever

“There is a close connection between getting up in the world and getting up in the morning.“
– Anon
~~~*****~~~

Categories

...