Consider two consumers i= A, B with identical preferences over goods j=x, y: Ui = xi yi. Assume the following endowments: EA= xA= 2, yA= 8 and EB = (xB = 10 , yB = 2).Answer each of the following questions based on this information. Round your answer to the nearest second decimal place (i.e., .01).

a). CalculateA's utility under autarky.

b). CalculateB's utility under autarky.

c). SupposeB givesA 4 units ofx in exchange for 3 units ofy. CalculateA's resulting utility.

d). SupposeB givesA 4 units ofx in exchange for 3 units ofy. CalculateB's resulting utility.

e). Starting from the outcome of the trade described above, are there any additional trades that could improveA's situation without hurtingB or that could improveB's situation without hurtingA?

i). YES ii). NO iii). Maybe

f). Calculate the price of goodx in units of goody (orpx/py) that implies neither consumer would want to make any further trades beyond that described above.