14. A pharmaceutical company has 100 kg of material A, 180 kg of material Band 120 kg of material 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, where the numbers in each case represent the percentage by weight of material A, material Band material C respectively, in each of the products and the balance represents inert ingredients. The cost of raw material is given below:

Selling price of these products is Rs 40.50, Rs 43 and Rs 45 per kg respectively. There is a capacity restriction of the company for the product 5-10-5, that is, they cannot produce more than 30 kg per month. Formulate a linear programming model for maximising the monthly profit.
Determine how much of each of the products should they produce in order to maximise their monthly profits. (CS, June, 1992)

Transcribed Image Text:

Ingredient Material A Material B Material C Cost per kg (Rs) 80 20 NUN 50 Inert ingredient 20