Question

5. A group of guinea pigs is to receive 25600 total calories per week from a mixture of two types of food. They will be given x kg of Food A and y kg of Food B, resulting in 200xy total weekly calories. Weekly food costs are to be kept at a minimum. Food A costs $1 per kg and Food B costs $2 per kg

. a) Thinking of a Lagrange multiplier, what is the constraint function g(x, y)? (2 points)

b) Using a Lagrange multiplier, find the amounts of each food that minimize weekly costs

Answer 1

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