Problem 12-01 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 $45 per unit. Probability distributions for the purchase cost, the labor cost, and the transportation cost are estimated as follows: Procurement Labor Transportation Cost ($) Probability Cost ($) Probability Cost ($) Probability 10 0.25 20 0.10 3 0.75 11 0.45 22 0.25 5 0.25 12 0.30 24 0.35 25 0.30 a. Compute profit per unit for the base-case, worst-case, and best-case scenarios. Prot per unit for the base-case: $ C] Prot per unit for the worst-case: $ Prot per unit for the bestcase: $ 1:] b. Construct a simulation model to estimate the mean prot per unit. If required, round your answer to the nearest cent. Mean prot per unit = $ c. Why is the simulation approach to risk analysis 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 prot per unit is less than $5. Use simulation to estimate the probability the prot per unit will be less than $5. If required, round your answer to two decimal places