Question 4 Maggie works at a very popular freshly squeezed lemonade stand on a beach that sells regular lemonade and strawberry lemonade. To make a glass of regular lemonade it takes 4 whole lemons. To make a glass of strawberry lemonade it takes 3 whole lemons and 2 average sized strawberries. The owners figured they have a budget so that each morning a truck delivers 900 lemons to the stand and 408 strawberries to the stand. On each glass of regular lemonade, a profit of R1,95 is made. The stand is able to charge more for strawberry lemonades and a profit of R2,10 is made on each glass of that. The owners want Maggie to sell at least twice the amount of strawberry lemonade each day as regular lemonade because more profit is made on the strawberry lemonade. They have also asked that at least 50 strawberry lemonades get sold each day because the strawberries spoil more quickly than the lemons. How many regular lemonades and how many strawberry lemonades should Maggie sell each day to maximize profit? Define (and describe in detail) the variables to formulate this problem as a mathematical model. Formulate a system of linear inequalities which can be used to solve the problem. Give the objective function. Let P represent the objective value. Represent these constraints graphically and clearly indicate the feasible region. Hence solve the problem.

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