Question

For the upcoming planting season, Farmer McCoy can plant corn (al), plant wheat (a2), plant soybeans (a3) or use the land for grazing (a4). The payoffs associated with the different actions are influenced by the amount of rain: heavy rainfall (S1), moderate rainfall (S2), light rainfall (S3) or drought season (S4). Develop a course of action for Farmer McCoy. a20 6030 ar 40 50 35 a50 0 45-10 a4 12 15

Answer 1

This is on ASSIGNMENT Problem and our aim is to maximize the payoff of farmer McCoy. We can optimize this problem using HUNGARIAN METHOD. Step - I: Prepare Square Matrix Step - II: Reduce the matrix Subtract all element from max. number to convert it into a minimization problem. \r\n For Rows which do not have any zero, subtract all elements of that Row with minimum element of that row. For columns which do not have any zero, subtract all elements of that column with minimum element of that column. (A) Draw minimum number of lines to cover all zeroes. Step - III: Check Optimility as Min. No. of Lines lessthanorequalto 4 Not optimum solution \r\n Step - III: Iteration Subtract the minimum values (not covering by lines) to the each value and add to interaction value Repeat Step II h = 3 h lessthanorequalto 4