The following is a payoff table giving profits for various situations. States of Nature Alternatives A Alternative 1 100 120 180 200 Alternative 2 100 50 120 Alternative 3 140 120 0 0 0 Do Nothing The probabilities for states of nature A, B, and Care 0.3, 0.5, and 0.2, respectively. If this is a perfect forecast of the future were available, what is the expected value with this pprfect information? Select one: a. 160 b. 130 c. 36 d. 50 e. 166 Consider the following demand and forecast. Period Demand Forecast 10 2 12 15 3 18 20 7 4 ?? 23 If MAD = 2.5 for the four periods under consideration, what is the demand for period 4? Select one: a. 22 b. 21 c. 20 d. 19 TI Consider the following linear programming problem: Maximize 4X + 10Y Subject to: 3X +4Y s 480 4X + 2Y s 360 DO all variables 20 How much is the value of the slacks at optimum? Select one: a. S1E210, S2=0 b. S1=0, S2=0 c. S1=48, S2=84 d. S1=0, S2=120 Enrollment in a particular class for the last four semesters has been 150, 156, 140, and 170 (listed from oldest to most recent). Develop a forecast of enrollment next semester using exponential smoothing with an alpha = 0.3. Assume that an initial forecast for the first semester was 150 (so the forecast and the actual were the same). Select one: a. 135 b. 162.28 c. 154.78 d. 153.17 e. 170.25