Question: Hi there, I've received a problem set back from my professor & I got these 2 questions wrong. He hasn't given me feedback so could
Hi there, I've received a problem set back from my professor & I got these 2 questions wrong. He hasn't given me feedback so could I have some help on how to answer them.

1) If the rational preferences of a consumer over bundles of (x1, x2) is represented by the utility function u(x1,x2) = 3x1 + 2x2, which of the bundles below is the worst bundle for this consumer? a) (2,6). b) (6,0). c) (5,1). d) (4,3). 2) Assume that a consumer's rational preferences over bundles of goods (x1, x2) are represented by a continuous, strictly monotone, and strictly convex utility function. If the consumer's marginal rate of substitution between the two goods, MRS(x1,x2) = -1/2 at a point on the budget line which has a constant slope -2, what should the consumer do to improve his choice? a) The consumer's current position on the budget line is already an optimum. b) The consumer should increase his consumption of x2 and decrease his consumption of x1. c) The consumer should decrease his consumption of x2 and increase his consumption of x1. d) The consumer should increase the consumption of both x, and x2
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