Question 1 Devre Elektronik plans to purchase a new tester for use in its manufacturing processes for very large- scale integrated circuits. Three possible testers are under consideration: the OR9000, the 1941, and the Sentry 50. There are three evaluation measures: cost in hundreds of thousands of dollars, accuracy in picoseconds, and uptime in percent. For the following analysis, assume a range of one to three hundred thousand dollars for cost, 500 to 1000 picoseconds for accuracy, and 95 to 99 percent for uptime. Preferences are monotonically increasing ("higher values are preferred") for uptime, and monotonically decreasing ("lower values are preferred") for cost and accuracy. The single dimensional value function over cost is linear. The single dimensional value function over accuracy is exponential: (1000-3523) 1-e (1000-500 1-e The single dimensional value function over uptime is piecewise linear. The value function for uptime has three segments, one from 95 to 96 percent, one from 96 to 97 percent, and one from 97 to 99 percent. The value increment from increasing uptime from 96 to 97 percent is the same as the value increment from increasing uptime from 97 to 99 percent. The value increment from increasing uptime from 95 to 96 percent is twice as great as the value increment from increasing uptime from 96 to 97 percent. The value increment obtained by decreasing accuracy from 1000 picoseconds to 500 picoseconds is three times as great as the value increment obtained by decreasing cost from three hundred thousand dollars to one hundred thousand dollars. The value increment obtained by increasing uptime from 95 percent to 99 percent is twice as great as the value increment obtained by decreasing cost from three hundred thousand dollars to one hundred thousand dollars. The evaluation measure scores (levels) for the three alternatives are given as follows: (Note that the cost figures are in $100,000) Alternative OR9000 1941 Sentry 50 Cost 1.4 1.0 2.8 Accuracy 900 1000 600 Uptime 98 96 95 Calculate the values for the three testers and determine which alternative is preferred. Assume additive utility. Question 1 Devre Elektronik plans to purchase a new tester for use in its manufacturing processes for very large- scale integrated circuits. Three possible testers are under consideration: the OR9000, the 1941, and the Sentry 50. There are three evaluation measures: cost in hundreds of thousands of dollars, accuracy in picoseconds, and uptime in percent. For the following analysis, assume a range of one to three hundred thousand dollars for cost, 500 to 1000 picoseconds for accuracy, and 95 to 99 percent for uptime. Preferences are monotonically increasing ("higher values are preferred") for uptime, and monotonically decreasing ("lower values are preferred") for cost and accuracy. The single dimensional value function over cost is linear. The single dimensional value function over accuracy is exponential: (1000-3523) 1-e (1000-500 1-e The single dimensional value function over uptime is piecewise linear. The value function for uptime has three segments, one from 95 to 96 percent, one from 96 to 97 percent, and one from 97 to 99 percent. The value increment from increasing uptime from 96 to 97 percent is the same as the value increment from increasing uptime from 97 to 99 percent. The value increment from increasing uptime from 95 to 96 percent is twice as great as the value increment from increasing uptime from 96 to 97 percent. The value increment obtained by decreasing accuracy from 1000 picoseconds to 500 picoseconds is three times as great as the value increment obtained by decreasing cost from three hundred thousand dollars to one hundred thousand dollars. The value increment obtained by increasing uptime from 95 percent to 99 percent is twice as great as the value increment obtained by decreasing cost from three hundred thousand dollars to one hundred thousand dollars. The evaluation measure scores (levels) for the three alternatives are given as follows: (Note that the cost figures are in $100,000) Alternative OR9000 1941 Sentry 50 Cost 1.4 1.0 2.8 Accuracy 900 1000 600 Uptime 98 96 95 Calculate the values for the three testers and determine which alternative is preferred. Assume additive utility