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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

A

z = 15 x+22y, subject to contraints `4x+12yge18,16x+4yge24,8x+6ygt16,xge0yge0`

B

z = 15x +22y, subject to constraints `4x+12yge18,16x+4yge24,8x+6ygt16,xge0yge0`

C

z=15x+48y , subject to constraints `4x+12yge18,17x+4yge24,8x+6ygt160,xge0yge0`

D

z = 15x +22y, subject to constraints `24x+12yge18,18x+4yge24,8x+16ygt16,xge0yge0`

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The correct Answer is:
B
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