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 $31,000. The variable cost for the product is expected to be between $21 and $30 with a most likely value of $25 per unit. The product will sell for $65 per unit. Demand for the product is expected to range from 300 to 1400 units, with 600 units the most likely demand. Let c= variable cost per unit x=demand a. Develop the profit model for this product. Enter your answer in the form of an expression. ( Example: (c+10)x+800) Profit = b. Provide the base-case, worst-case and best-case analyses. For those boxes in which you must enter subtractive or negative numbers use a minus sign. (Example: 300 ) Base case: Profit =$ Worst case: Profit =$ Best case: Profit =$ c. Discuss why simulation would be desirable. A simulation the probability of each scenario