The monthly demand for the latest computer at Newland Computers follows a normal distribution with a mean of $350$ and standard deviation of $75.$ Newland purchases these computers for $$1,200$ and sells them for $$2,300.$ It costs the company $$100$ to place an order and $$12$ for every computer held in inventory at the end of each month. Currently, the company places an order for $1,000$ computers whenever the inventory at the end of a month falls below $100$ units. Assume the beginning inventory is $400$ units, unmet demand in any month is lost to competitors, and orders placed at the end of one month arrive at the beginning of the next month. a$.$ Create a spreadsheet model to simulate the profit the company will earn on this product over the next $2$ years. What is the average level of profit the company will earn? b$.$ Suppose the company wants to determine the optimum reorder point and order quantity. Which combination of reorder point and order quantity will provide the highest average profit over the next $2$ years?