A corporation must decide between two mutually exclusive projects. Both projects require an initial outlay of 100 million euro, and they generate cash f

lows that are independent of the growth of the economy. Project A has an equal probability of four gross payoffs: 80 million euro, 100 million euro, 120 million euro or 140 million euro. Project B has a 50:50 chance of paying either 90 million euro or 130 million euro.Assuming that shareholders are all risk averse, show that they unanimously prefer Project B to Project A.