please solve it asap

Question 4 (20 Points) a) A production planning engineer is considering three decisions of fulfilling customers' demands. These decisions are increasing capacity, using overtime, and buying more equipment. However, the decisions are affected by the future states of demand. The product demand is expected to be small (S), medium (M), or large (L). The table below shows profit of each decision in each state-of- nature. Decision Increase capacity (DI) Using overtime (D2) Buying equipment (D3) S SR1,200,000 1,000,000 1,100,000 Demand (state-of-nature) M 1,200,000 1,100,000 1,300,000 L 1,200,000 1,500,000 1,300,000 If the probabilities of the states of nature are as follows: S (0.25), M (0.35), L (0.40), determine the expected value of perfect information (EVPI). (5 points)