Answer the following items as required. Give complete solution. 1. Consider the two competing grocery stores in town, T'San Grocery and Sunlight Grocery, with the corresponding table of transition probabilities. To From T'San Sunlight T'San 0.65 0.35 Sunlight 0.25 0.75 a. Using a Markov process model, compute the probability that i. a T'San customer shops at Sunlight during the second period (5 points) ii. a Sunlight customer shops at T'San during the third period (5 points) lii, a T'San customer shops at T'San during the fourth period (5 points) b. Compute the steady-state probabilities for this Markov process. (7 points) 2. Given the following matrix of transition probabilities, find the fundamental matrix N. (8 points) 10 0 O 0 0 10 0 0 0.2 0.1 0.4 0.3 0.2 0.2 0.1 0.5 2. Bob plans to operate a poultry farm. He currently is deciding the capacity of this farm. Its size could either be for 100, 150 or 200 chickens. In terms of market forecasts, demand may be low, medium or high. The expected monthly income matrix for the capacities and market forecasts is as follows: Capacity Low Medium High Demand Demand Demand 100 P85,000 P85,000 P85,000 chickens 150 40,000 130,000 130,000 chickens 200 (25,000) 75,000 175,000 chickens Suppose Bob is neither an optimist or a pessimist, what would be your recommended capacity farm if you will use the \"middle-of-the-road approach\" involving regrets? (10 points) for Bob's