George has a life-threatening illness. Fortunately, there is effective medicine available that keeps George healthy and able to lead a full life. Purchasing his medicine is thus George's top priority. His preferences over medicine and all other goods can be represented by the function u(x,y)=96x+6yu(x,y)=96x+6y where xx is medicine and yy is all other goods. The current price of medicine is 2, and the price of all other goods is normalized to 1.

part 1

Find George's demand for xx and yy at the current prices and for any income level m. George's demand for medicine is (write your answer as an equation, x=x= ...)

George's demand for all other goods is (write your answer as an equation, y=y= ...)

part 2

You'll notice from Part 1 that George's demand for all other goods is positive only if his income is past a certain level. How much money does George need in order to consume positive amounts of good yy? $ On the graph below, use the line tool to plot George's Engel curve for good yy. (Recall that Engel curves are graphs of the quantity of a good versus income.)

Now use the line tool to graph George's Engel curve for good xx.