Problem 12: The Foresta Coffee Shop sells three basic blends: Espresso, Americano, and Glace. It uses four different types of coffee to produce the blends, Arabica, Robusta, Liberica, and Excelsa. The blend recipe requirements are as follow: Blend Mix requirements Selling price ($/kg) Espresso At least 40% Arabica, at most 20% Robusta 7.2 Americano At least 60% Liberica, at least 10% Arabica 5.8 Glace At least 60% Excelsa, at most 30% Robusta 6.34 Coffee type $/kg Supply per week Arabica 3 120 kg Robusta 1.75 70 kg Liberica 4.8 89 kg Excelsa 2.15 100 kg What is the amount of each blend the shop should prepare weekly to maximize profit. Formulate an implicit mathematical model for this