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 $27,000. The variable cost for the product is expected to be between $22 and $36 with a most likely value of $24 per unit. The product will sell for $60 per unit. Demand for the product is expected to range from 400 to 2000 units, with 1400 units the most likely demand. Let c = variable cost per unit and X = demand. a. Develop the profit model for this product. Enter your answer in the form of an expression. (Example: (C+10).x+800)
b. Provide the most-likely case, worst-case and best-case analyses.