urgent 15 mins need it very quick please

There are four regions that is planned to supply water to the dam where during a week, each region provides one unit of water into the dam with probability 0.4 or zero unit of water with probability 0.6. If the total supply of water by the river exceeds the remaining capacity of the dam, the excess water is lost. The demand for water is 3 units in each week where it is assumed that the water has to be provided at the beginning of each week. If the dam does not contain enough water to satisfy the demand, the shortage will be fulfilled at a cost of 180 000 per unit shortage. The weekly operating cost of the dam is a normally distributed random variable with a mean value of 140 000 and a standard deviation of 15 000 Let the state be the number of units of water in the dam at the end of a week. -Construct the one step probability transition matrix for the above-mentioned process. - Compute the expected weekly shortage and operational costs. -Assume that now there are two units of water at the dam at the end of the first week of a month. Find the probability that there will again be two units of water at the dam at the end of the third week of the same month. - Assume that now there is one unit of water at the dam. How can you find the expected number of weeks that will pass before a full capacity of the dam is reached for the first time? Explain please Do not solve numerically