Diane Simpson, Inc., sells two popular brands of cookies: Dianes Delight and Bessies Bourbon. Dianes Delight goes

Diane Simpson, Inc., sells two popular brands of cookies: Diane’s Delight and Bessie’s Bourbon. Diane’s Delight goes through the mixing and baking departments, and Bessie’s Bourbon, a filled cookie, goes through the mixing, filling, and baking departments. Michael Shirra, vice president of sales, believes that at the current price, Diane Simpson can sell all of its daily production of Diane’s Delight and Bessie’s Bourbon. Both cookies are made in batches of 3,000. In each department, the time required per batch and the total time available each day are:

Revenue and cost data for each type of cookie are:

Required
1. Using D to represent the batches of Diane’s Delight and B to represent the batches of Bessie’s Bourbon made and sold each day, formulate Shirra’s decision as an LP model.
2. Compute the optimal number of batches of each type of cookie that Diane Simpson, Inc., should make and sell each day to maximize operatingincome.

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Home Insert Page Layout Formulas Data Review Department Minutes Mixing FllingBaking 3 Della's Delight 4 Bonny's Bourbon 5 Total available per day 30 15 660 10 15 270 300 Home Insert Page Layout Formulas Data 8 9 Revenue per batch 10 Variable cost per batch 11 Contribution margin per batch 12 Monthly fixed costs 13 (allocated to each product) Diane's Bessie's Delight Bourbon $ 475$ 375 125 300$ 250 175 $18,650 $22,350