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[Solved]: b) A health-conscious family wants s have a very
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(Solved): b) A health-conscious family wants s have a very well controlled vitamin C-rich mixed fruitbreakfa ...



b) A health-conscious family wants s have a very well controlled vitamin C-rich mixed fruitbreakfast which is a good source,

b) A health-conscious family wants s have a very well controlled vitamin C-rich mixed fruitbreakfast which is a good source, dietary fiber as well; in the form of 5 fruit servings per day. They choose apples and ba\&nas as their target fruits, which can be purchased from an online vendor in bulk at a sasonable price. Bananas cost 30 rupees per dozen ( 6 servings) and apples cost 80 rupes per \( \mathrm{kg} \) ( 8 servings). Given: 1 banana contains \( 8.8 \mathrm{mg} \) of Vitamin C and 100-125 g of aples i.e., 1 serving contains \( 5.2 \mathrm{mg} \) of Vitamin C. Every person of the family would likes have at least \( 20 \mathrm{mg} \) of Vitamin C daily but would like to keep the intake under \( 60 \mathrm{mg} \). hw much fruit servings would the family have to consume on a daily basis per person to \( \mathrm{m}_{\text {imize }} \) their cost? [6 marks]


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Answer : We begin step-wise with the formulation of the problem first. The constraint variables – ‘x’ = number of banana servings taken and ‘y’ = number of servings of apples taken. Let us find out the objective function now. Cost of a banana serving
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