Formulate the given LPP and solve it using Simplex method.

A pharmaceutical company has $100$ kg of A$,180$ kg of B and $120$ kg of C available per month. They can use these materials to make three basic pharmaceutical products namely $5-10-5,5-5-10$ and $20-5-10$ respectively, where the numbers in each case represent $\%$ of weight by A$,$B and C respectively in each of these products. The cost of these raw materials are given below:

Ingredient

Cost per kg in Rs$.$

A

$80$

B

$20$

C

$50$

Inert ingredients

$20$

Selling price of these products are Rs$.40\mathrm{.}5,$ Rs$.43$ and Rs$.45$ per kg respectively. There is capacity restriction of the company for the product $5-10-5$ so as they cannot produce more than $30$ kg per month. Determine how much of each of these products they should produce in order to maximize their monthly profit.

Q$7.$ Formulate the given LPP and solve it using Simplex method.

A pharmaceutical company has $100kg$ of $A,180kg$ of $B$ and $120kg$ of $C$ available per month. They can use these materials to make three basic pharmaceutical products namely $5-10-5,5-5-10$ and $20-5-10$ respectively, where the numbers in each case represent $\%$ of weight by $A,B$ and $C$ respectively in each of these products. The cost of these raw materials are given below:

$\backslash$table$[[$Ingredient$,$Cost per kg in Rs$.],[$A$,80],[$B$,20],[$C$,50],[$Inert ingredients,$20]]$

Selling price of these products are Rs$.40\mathrm{.}5,$ Rs$.43$ and Rs$.45$ per kg respectively. There is capacity restriction of the company for the product $5-10-5$ so as they cannot produce more than $30kg$ per month. Determine how much of each of these products they should produce in order to maximize their monthly profit.