A Sydney fishing company purchases clams for $12.00 per kg from some north-coast fishermen for sale to various restaurants in Sydney for $18.00 per kg. Any clams not sold to the restaurants by the end of the week can be sold to a local soup company for $4.00 per kg. The Sydney fishing company decides to purchase 1500 kg of clams in a given week. The demand for clams is given by the following probability distribution:

Demand (kg)	Probability
500	0.2
1000	0.3
1500	0.4
2000	0.2

(i) What is the probability that demand will exceed supply? Explain your reasoning.

(ii) What is the probability that the Sydney fishing company will make a loss in the week? Explain your reasoning.

(iii) What is the expected profit level for the Sydney fishing company?