Question-4 (10 points) Sara's demand function for good x is :i:(px.p_.,._ m) = , where p, is the price of good 3::f \"at is the price of good 3:: and m is the income level. 1. Is a: a normal good at p: = 1 and m = 24'? Explore this by taking derivative of demand function with respect to [I]. 2. Is a: an ordinary good at p1 = 1 and m = 2:1? Explore this by taking derivative of demand function with respect. to 33:. Question-5 (15 points) Robinson's utility function is U(C,B)= max {2C, B}. This function selects the maximum of two inputs as an output. For example, max {1, 5}=5 or max {4, 2}=4. Consider that Robinson sleeps 8 hours and spares 2 hours to eat what he collects. Robinson spends 2 hours for collecting one coconut and 1 hour for berries. (Hint: a day consists 24 hours) 1. Draw indifference curves of Robinson. 2. Find Robinson's optimal (coconut, berry) bundle.Question-6 (Finding optimal bundle) (20 points) Find the optimal bundle using the following utility functions and budget constraints. 1. U(21, X2) = 3x1 + 2x2 and 6x1 + 212 = 24 2. U(21, X2) = 21 + 2x2 and 3.x1 + 6.2 = 48 3. U(x1, 12) = min{21, 12} and 4x1 + 2x2 = 48 4. U(x1, x2) = min {4x1, 2x2} and 2x1 + 3.x2 = 36