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2. Consider a consumer with preferences represented by the utility function: u(x,y)=3x+6sqrt(y) (a) Are these preferences...

2. Consider a consumer with preferences represented by the utility function:

u(x,y)=3x+6sqrt(y)

(a) Are these preferences strictly convex?

(b) Derive the marginal rate of substitution.

(c) Suppose instead, the utility function is:

u(x,y)=x+2sqrt(y)

Are these preferences strictly convex? Derive the marginal rate of sbustitution.

(d) Are there any similarities or differences between the two utility functions?
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