Optimal production mix. (CMA, adapted) Della Simpson Inc. sells two popular brands of cookies, Della's Delight and Bonny's Bourbon. Della's Delight goes through the Mixing and Baking Departments and Bonny'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, Della Simpson can sell all of its daily production of Della's Delight and Bonny's Bourbon. Both cookies are made in batches of 3,000 cookies. The batch times (in minutes) for producing each type of cookie and the minutes available per day are as follows:

REQUIRED 1. Using D to represent the batches of Della’s Delight and B to represent the batches of Bonny’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 Della Simpson Inc.
should make and sell each day to maximize operating‘income.LO1

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Della's Delight Bonny's Bourbon Minutes available per day Department Minutes Mixing Filling Baking 30 0 10 15 15 15 660 270 300 Revenue and cost data for each type of cookie are: Della's Delight Bonny's Bourbon Revenue per batch $ 475 $ 375 Variable cost per batch $ 175 $ 125 Contribution margin per batch $ 300 $ 250 Monthly fixed costs (allocated to each product) $18,650 $22,350