1. The decision tree (hierarchy) below was constructed to help decide which, among several types of computers, should be purchased. The weights were decided upon by the prospective buyer who was looking for a new computer. Note that all the criteria are objective and can easily be quantified except reliability which has been rated by an expert on a scale from 1 to 10 , with 1 being very reliable and 10 being very unreliable. The following table gives the ratings of each alternative computer with respect to the above criteria a. Compute the weights associated with each means objective (bottom row of hierarchy) b. Determine the single dimension value functions (SDVF) for each means objective. Assume all SDVF are linear functions. c. Combine the four SDVFs into a multi-objective function (use additive value function). d. Compute the value for each alternative using your multi-objective function