Preliminary marketing and financial analyses of a product provided a selling price of $249 per unit, adm i tive cost of $400,000, and advertising cost of $600,000. The cost of direct labor, the cost oils, and the demand for the product are not known with certainty and are considered uncertain inputs. The direct labor cost per unit follows the following probability distribution Direct Labor Cost per Unit $43 $44 Probability 0.1 $45 SA6 0.2 $47 0.1 a) An engineer on the product development team believes that first-year sales for the product will be 20,000 units. Using estimates of $45 per unit for the direct labor cost and $90 per unit for the parts cost, what is the first-year profit using the engineer's sales estimate? (2 marks) b) The financial analyst on the product development team is more conservative, indicating that parts cost may well be $100 per unit. In addition, the analyst suggests that a sales volume of 10,000 units is more realistic. Using the most likely value of $45 per unit for the direct labor cost, what is the first-year profit using the financial analyst's estimates? (2 marks) c) Use the random numbers 0.3753, 0.9218, 0.0336, 0.5145, and 0.7000 to generate five simulated values for the product's direct labor cost per unit. (2 marks)