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The Mill Mountain Coffee Shop blends coffee on the premises for its customers. It sells three basic blends in 1-pound bags, Special, Mountain Dark, and Mill Regular. It uses four different types of coffee to produce the blends-Brazilian, mocha, Colombian, and mild. The shop has the following blend recipe requirements: Blend Mix Requirements I Selling Price / Pound Special At least 40% Columbian, at least 30% mocha 10$ Dark At least 60% Brazilian, no more than 10% mild 16$ Regular No more than 60% mild, at least 30% Brazilian 56$ The cost of Brazilian coffee is $2.00 per pound, the cost of mocha is $2.75 per pound, the cost of Colombian is $2.90 per pound, and the cost of mild is $1.70 per pound. The shop has 80 pounds of Brazilian coffee, 112 pounds of mocha, 70 pounds of Colombian, and 280 pounds of mild coffee available per week. The shop wants to know the amount of each blend it should prepare each week to maximize profit. Formulate a linear programming model for this problem. you should provide the details of your answers, not just the results solve by hand