A food company at Kathmandu produce three types of a healthy food P, Q and R for children which contains three types of vitamin A, B, and C. Each unit of food P contains 2, 2 and 1 unit of vitamin A, B and C. One unit of food Q contains 2, 3 and 1 units while each unit of food R contains 1, 1 and 5
A food company at Kathmandu produce three types of a healthy food P, Q and R for children which contains three types of vitamin A, B, and C. Each unit of food P contains 2, 2 and 1 unit of vitamin A, B and C. One unit of food Q contains 2, 3 and 1 units while each unit of food R contains 1, 1 and 5 units of vitamin A, B and C respectively. Daily minimum requirements of vitamin A, B and C are 10, 12 and 14 units respectively. Formulate objective function and its constraints of LPP if cost per unit of food P, Q and R are Rs. 9, Rs. 12 and Rs. 15 respectively. [5]
Vitamin content per unit of food: Food Vitamin A Vitamin B Vitamin C Cost (Rs.) --------------------------------------------------- P 2 2 1 9 Q 2 3 1 12 R 1 1 5 15 Daily minimum requirements: - Vitamin A: 10 units - Vitamin B: 12 units - Vitamin C: 14 units Let: - $x$ = number of units of food P ...