Scenario 1: Lewis uses his income to purchase bones (qi) and kibble (q2). His preferences are given by the utility function: U(q1. 92) = 9193 The prices and income are p1 = 20, p2 = 10, and y = 300 1. Find the MRS equation for Lewis. 391 92 MRS = 392 92 291 39192 341 2. (2 points) Find Lewis's optimal consumption bundle. 91 = 5 20 3. (2 points) Suppose the price of bones rises to p,. = 25 and the price of kibble rises to pa' = 20. His Income also increases to y' = 525. What bundle of goods does he now consume? q1 = 17.5 4. (2 points) Is Lewis better with the ORIGINAL prices and income or the NEW prices and income? Circle one and clearly state how you can tell in the box below. 1) The original bundle was still affordable at the new prices and income (25*5+20*20=525), and they OLD/NEW chose a different bundle, therefore the new bundle (circle one) must be preferred. 2) The utility from the new bundle is 12.9 versus the original bundle which was 12.6