Cox Electric makes electronic components and has estimated the following for a new design of one of its products. - Fixed Cost =$12,000 - Material Cost per Unit =50.17 - Labor Cost per Unit =$0.11 - Revenue per Unit =$0.64 profit is calculated by subtracting the fixed cost and total variable cost from total revenue. (a) Build an influence diagram that illustrates how to calculate profit. (b) Using mathematical notation similar to that used for Nowlin Plastics, give a mathematical model for calculating profit. (Write your answer in terms of the following variables q= Production Volume (quantity produced), R= Revenue Per Unit, FC= the Fixed Costs of Production, MC= Material Cost per Unit, LC= Labor Cost per Unit, and P(q)= Total Profit for producing (and selling) q units.) P(q)= (b) Using mathematical notation similar to that used for Nowlin Plastics, give a mathematical model for calculating profit. (Write your answer in terms of the following variables q= Production Volume (quantity produced), R= Revenue Per Unit, FC= the Fixed Costs of Production, MC = Material Cost per Unit, LC = Labor Cost per Unit, and P(q)= Total Profit for producing (and selling) q units.) P(q)= (c) Implement your model from part (b) in Excel using the principles of good spreadsheet design. (d) If Cox Electric makes 13,000 units of the new product, what is the resulting profit (in dollars)?