The management of Brinkley Corporation is interested in using simulation to estimate the profit per unit for a new product. The seling price for the product will be $55 per unit Probabilicy distributions for the purchase cost, the habor cost, and the transportation cost are estimated as follows: a. Compute profit per unit for the base-case, worst-case, and best-case. Profit per unit for the base-case: $ Profit per unit for the worst-case: s Profit per unit for the best-case: \$ b. Construct a simulation modef to estimate the mean profit per unit. If required, round your answer to the nearest cent. Mean profit per unit =s C. Why is the simutation approach to risk analysis preferable to generating a variety of what-if scenarios? b. Construct a simulation model to estimate the mean profit per unit. If required, round your answer to the nearest cent. Mean profit per unit =$ c. Why is the simulation approach to risk analysls preferable to generating a variety of what-if scenarios? The input in the box below will not be graded, but may be reviewed and considered by your instructor. d. Management believes the project may not be sustainable if the profit per unit is ioss than $11. Use simulation to estimate the probability the profit per unit will be insi than \$11. If required, round your answer to one decimal place