The management of Madeira Manufacturing Company is considering the introduction of a new product. The fixed cost to begin the production of the product is $26,000. The variable cost for the product is expected to be between $19 and $25 with a most likely value of $21 per unit. The product will sell for $60 per unit. Demand for the product is expected to range from 300 to 1300 units, with 600 units the most likely demand. Let c = variable cost per unit x = demand a. Develop the profit model for this product. Enter your answer in the form of an expression. (Example: (c+10) -x+800) Profit = b. Provide the base-case, worst-case and best-case analyses. For those boxes in which you must enter subtractive or negative numbers use a minus sign. (Example: -300) Base case: Profit = $ Worst case: Profit = $ Best case: Profit = $ c. Discuss why simulation would be desirable. A simulation ____ the probability of each scenario