8.11.* The Dorwyn Company has two new products (special kinds of doors and windows) that will compete with the two new products for the Wyndor Glass Co. (described in Section 2.1 ). Using units of hundreds of dollars for the objective function, the linear programming model in algebraic form shown below has been formulated to determine the most profitable product mix. subject to and Maximize Profit 4D+6W D + 3W 8 5D2W 14 D 0 W 0 However, because of the strong competition from Wyndor, Dorwyn management now realizes that the company will need to make a strong marketing effort to generate substantial sales of these products. In particular, it is estimated that achieving a production and sales rate of D doors per week will require weekly marketing costs of D hundred dollars (so $100 for D = 1, $800 for D = 2, $2,700 for D = 3, etc.). The corresponding marketing costs for windows are estimated to be 2W2 hundred dollars. Thus, the objective function in the model should be Profit 4D+6WD3 - 2W2 Dorwyn management now would like to use the revised model to determine the most profitable product mix. a. Formulate and solve this nonlinear programming model on a spreadsheet.