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Mick, Keith, Bill and Charlie, four health-conscious consumers, like both freshly squeezed orange juice and sunflower seeds. Their preferences for bundles x=(x1, x2) comprising

Mick, Keith, Bill and Charlie, four health-conscious consumers, like both freshly squeezed orange juice and sunflower seeds. Their preferences for bundles x=(x1, x2) comprising x1 glasses of orange juice and x2 grams of sunflower seeds are described as follows: Mick considers a glass of orange to be as desirable as 10 grams of sunflower seeds. Keith is always willing to exchange two glasses of orange juice for 5 grams of sunflower seeds. Bill has utility function x+x Charlie has utility function x1x2. Sketch some typical indifference curves for each consumer and in each case say whether or not the set {x|u(x) c} is convex.

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