expected value maxmin maximax

December 2014 Specimen

Cement Co is a company specialising in the manufacture of cement, a product used in the building industry. The company has found that when weather conditions are good, the demand for cement increases since more building work is able to take place. Cement Co is now trying to work out the level of cement production for the coming year in order to maximise profits. The company has received the following estimates about the probable weather conditions and corresponding demand levels for the coming year:
Weather Probability Demand
Good 25% 350,000 bags
Average 45% 280,000 bags
Poor 30% 200,000 bags
Each bag of cement sells for $9 and costs $4 to make. If cement is unsold at the end of the year, it has to be disposed of at a cost of $0·50 per bag. Cement Co has decided to produce at one of the three levels of production to match forecast demand. It now has to decide which level of cement production to select.

Required:
(a) Construct a pay-off table to show all the possible profit outcomes. (8 marks)

note : i need explination how to construct step by step because in paper answer i didnt understand it