Robert and Obeid both like blueberries and raspberries. Let X denote the number of packets

of blueberries consumed, while Y denotes the number of packets of raspberries consumed.

Robert is indifferent between consuming a packet of blueberry and raspberry , Obeid prefers

a packet of blueberry thrice as much as a packet of raspberry.

a) (2 points) Write a utility function that represents Robert's preferences between commod-

ity bundles comprised of packets of blueberries and raspberries.

b) (2 points) Now, write a utility function that represents Obeid's utility function.

c) (2 points) Would the utility function U(X, Y ) = 100X + 300Y represent Obeid's prefer-

ences? Would the utility function U(X, Y ) = log(300X + 100Y ) represent Obeid's prefer-

ences? (Explain your answer briefly).