Hi-Tech Devices Inc. is planning to market a new solid state industrial device and needs to simulate the possible financial situation for their first year of sales. They forecast monthly demand to be uniformly distributed between 0 and 4 units (i.e., 0, 1, 2, 3, or 4). Monthly fixed costs will be either $20,000 or $30,000 (with equal likelihood). Monthly variable costs/unit will follow a uniform, continuous distribution, varying between $10,000 and $15,000. Selling price for this device is $30,000. (a) Using the following table and random variables, simulate their first 4 months. Fixed Month r Demand Revenue Costs r Total Monthly Variable Costs Cumulative Net Income Net Income 1 0.46 0.26 0.50 2 0.32 0.49 0.06 3 0.94 0.13 0.82 4 0.52 0.44 0.91 What is the average monthly net income? What is the probability of losing money in a given month?