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The batch times (in minutes) for producing each type of cookie and the minutes available per day are as follows: Department Minutes Mixing Filling Baking Dixie's Delight 26 O 6 Bridget's Bourbon 12 12 12 Minutes available per day 702 240 282Revenue and cost data for each type of cookie are: Dixie's Bridget's Delight Bourbon Revenue per batch $ 550 $ 450 Variable cost per batch 225 $ 200 Contribution margin per batch 325 $ 250 Monthly fixed costs (allocated to each product) $ 1 18,550 $ 22,4001. Using D to represent the batches of Dixie's Delight and B to represent the batches of Bridget's Bourbon made and sold each day, formulate Shirra's decision as a linear programming model. 2. Compute the optimal number of batches of each type of cookie that Dixie Simpson Inc. should make and sell each day to maximize operating income.Dixie Simpson Inc. sells two popular brands of cookies, Dixie's Delight and Bridget's Bourbon. Dixie's Delight goes through the Mixing and Baking departments, and Bridget's Bourbon, a filled cookie, goes through the Mixing, Filling, and Baking departments. Michael Shirra, vice-president for sales, believes that at the current price, Dixie Simpson can sell all of its daily production of Dixie's Delight and Bridget's Bourbon. Both cookies are made in batches of 3,400 cookies. (Click the icon to view the time required per batch and the total time available.) (Click the icon to view the revenue and cost data.) Required Requirement 1. Using D to represent the batches of Dixie's Delight and B to represent the batches of Bridget's Bourbon made and sold each day, formulate Shirra's decision as a linear programming model. Begin by determining the linear function. Total contribution margin = Next specify the constraints for OD nt. (Leave any unnecessary cells blank.) Mixing Department: 6 D S Filling Department: 12 B S Baking Department: 26 D 240 Requirement 2. Compute the c 282 of batches of each type of cookie that Dixie Simpson Inc. should make and sell each day to maximize operating income. Calculate the total contribution 702 $250 B comer point. Then we can select the optimal number of batches. (For trials with a $0 balance, make sure to enter "0" in the appropriate field.) $325 D Trial Corner (D,B) Contrit $450 B (0,0) $550 DRequirement 1. Using D to represent the batches of Dixie's Delight and B to represent the batches of Bridget's Bourbon made and sold each day, formulate Shirra's decision as a linear programming model. Begin by determining the linear function. Total contribution margin = Next specify the constraints for each department. (Leave any unnecessary cells blank.) Mixing Department: Filling Department: Baking Department: Requirement 2. Compute the optimal number of batches of each type of cookie that Dixie Simpson Inc. should make and sell each day to maximize operating income. Calculate the total contribution margin for each corner point. Then we can select the optimal number of batches. (For trials with a $0 balance, make sure to enter "0" in the appropriate field.)Total Trial Corner (D,B) Contribution Margin 1 (0,0) 2 (27,0) 3 (21,13) (0,0) 4 (7,20) (27,0) 5 (0,20) (21,13) (7,20) Select the comer F (0,20) its the optimal number of batches of each type of cookie to maximize operating income. Corner (D,B) =Total Trial Corner (D,B) Contribution Margin (0,0) 2 (27,0) 3 (21,13) 4 (7,20) (0,20) Select the corner point that represents the optimal number of batches of each type of cookie to maximize operating income. Corner (D,B) =