H i everyone! need help w hw:) Pls show work as well

Problem 2. (20 points) Bob's risk preference is represented by the following expected utility formula: U(1,6;1 - 7,0x) = * log(a) + (1 - 1) log(cz). Bob can invest $10 into two stocks. Stock I returns $1 when the economy is good and returns O when the economy is bad while Stock 2 returns $0 when the economy is good and returns $1 when the economy is bad. The price of stock 1 is denoted by p, and the price of stock 2 is p2 = 0.2. Suppose the economy is good with probability 0.4 and is bad with probability 0.6. 1) Write down Bob's utility maximization problem. ii) Determine Bob's optimal investment bundle (c) as a function of pl Draw the inverse demand curve for stock 1 (i.e., on X axis and mon Y axis). Problem 2. (20 points) Bob's risk preference is represented by the following expected utility formula: U(1,6;1 - 7,0x) = * log(a) + (1 - 1) log(cz). Bob can invest $10 into two stocks. Stock I returns $1 when the economy is good and returns O when the economy is bad while Stock 2 returns $0 when the economy is good and returns $1 when the economy is bad. The price of stock 1 is denoted by p, and the price of stock 2 is p2 = 0.2. Suppose the economy is good with probability 0.4 and is bad with probability 0.6. 1) Write down Bob's utility maximization problem. ii) Determine Bob's optimal investment bundle (c) as a function of pl Draw the inverse demand curve for stock 1 (i.e., on X axis and mon Y axis)