Two different kinds of food A and B are being considered to form a weekly diet . The minimum
weekly requirements for fats , carbohydrates and protein are 18, 24 and 16 units respectively .
One kg of food A has 4 , 16 , and 8 units respectively of these ingredients and one kg of food B
has 12 ,4 and 6 units respectively The price of food A is Rs 6 per kg and that of food B is Rs 5 per kg. How many kg of each
type of food should he buy per week to minimize the cost and meet his requirements . Formulate this LPP

Options

A. (a) z = 6 x+5y, subject to contraints `4x+12yge18,16x+4yge24,8x+6yge16,xge0, yge0`
B. (b) z = 6x +5y, subject to constraints `4x+12yge18,16x+4yge24,8x+6yge16,xge0, yge0`
C. (c) z= 6x+5y , subject to constraints `4x+12yge18,17x+4yge24,8x+6yge160,xge0, yge0`
D. (d) z = 5x +6y, subject to constraints `24x+12yge18,18x+4yge24,8x+16yge16,xge0, yge0`

Answer

B