Tarara is considering venturing into the public transport system although she is unsure on whether to purchase a 35 -seater minibus, a 14-seater matatu or a taxi cab. These respective vehicles have a cost of price of Sh. 2.5 million, Sh.2 million and Sh.1.2 million. The monthly collections from the vehicles would depend on the state of the economy which can be an economic boom, stagnation or recession. The probabilities of these states are 0.25,0.45 and 0.3 respectively. The estimated monthly collections, (in Shillings) are indicated in the table below: Tamara would have to borrow 80% of the money required to buy any of the vehicles at an annual interest rate of 12%. In addition, all the vehicles are depreciated at a rate of 20% p.a. on a straight line basis. No other expenses are expected apart from the tax of 30% of the annual profit. Required: i. The annual profit pay-off matrix in form of a table similar to the one above. ii. The optimal vehicle to be purchased by Tamara using the expected profit criterion iii. The optimal vehicle to be purchased by Tamara given using the Minimax criterion iv. The optimal vehicle to purchase using the Maximin criterion The optimal vehicle to purchase using the Laplace criterion