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An organic farmer is producing two types of family size pies, Veggie (V) and Chicken (C). Both pies require two secret ingredients A and B,

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An organic farmer is producing two types of family size pies, Veggie (V) and Chicken (C). Both pies require two secret ingredients A and B, which are in short supply. The Veggie pie requires 0.25Kgr of ingredient A and 0.6Kgr of ingredient B, while the Chicken pie requires 0.9Kgr of ingredient A and 0.45Kgr of ingredient B. The maximum daily amount of ingredients A and B is 15Kgr and 24Kgr respectively. The farmer sells the Chicken Pie for $6.7 and the Veggie Pie for $5.4. From experience the farmer knows that the Chicken pie is less popular so does not want to produce more than 12 Chicken pies a day. Only one baking is done each day and the oven used to bake the pies can only hold 45 pies. Given that making each a Veggie pie costs $1.4 while a Chicken pie costs $1.7, the farmer wants to maximise the daily profit and has found that the following constraints will affect profitability. Ingredient A, 0.25V + 0.900 = 0 Provide the objective function and using either the graphical method or one of the two software discussed in the lecture calculate how many of pies of each type should be baked daily to maximise profit. How much profit will the farmer make on 5 days

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