Three types of ice cream-chocolate, vanilla, and banana-are provided by juan and felipe inc to its ice cream shops. the company has run out of its supply of components, including milk, sugar, and cream, because of the extremely hot weather and overwhelming demand for its goods. they will therefore be unable to complete all the orders placed with their retail locations, the ice cream shops. given the limitations on the supply of the fundamental ingredients, the corporation has determined to make the quantity of each flavor that will optimize total profit. per gallon sold, the profits from the chocolate, vanilla, and banana flavors are p50, p40, and p45, respectively. to make the chocolate-flavored ice cream, at least 18 pounds of cocoa powder, 20 gallons of milk, 25 pounds of sugar, and 5 gallons of cream. for the perfect mixture of vanilla ice cream, at least 3 gallons of extracted vanilla, 20 gallons of milk, 15 pounds of sugar and 12 gallons of cream. lastly, at least 10 pounds of ripe bananas, 15 gallons of milk, 20 pounds of sugar, and 9 gallons of cream to make the banana ice cream. only 36 pounds of cocoa powder, 500 gallons of milk, 310 pounds of sugar, and 110 gallons of cream are still in stock with the company. find the best answer by using the algebraic formulation of this problem in linear programming provided below.