Part II - Profitability of New Product ( 3.5 points) The management of Brinkley Corporation is interested in using simulation to estimate the profit per unit for a new product. The selling price for the product will be $45 per unit. Probability distributions for the purchase cost, the labor cost, and the transportation cost are estimated as follows: 1 a. Construct a simulation model to estimate the average profit per unit. What is a 95% confidence interval around this average? Create a histogram of the frequency of your simulation trials for your profit. (2.5 points) b. Management believes that the project may not be sustainable if the profit per unit is less than \$5. Estimate the probabaity that the profit per unit will be less than $5. ( 1 point)