In: Math
A candy manufacturer wants to maximize the profit for two types of boxed chocolates. A box of chocolate covered creams yields a profit of $2.50 per box, and a box of chocolate covered nuts yields a profit of $2.00 per box. Market tests and available resources have indicated the following constraints: The combined production level should not exceed 1200 boxes per month. The demand for a box of chocolate covered nuts is no more than half the demand for a box of chocolate covered creams. The production level for chocolate covered creams should be less than or equal to 600 boxes plus three times the production level for chocolate covered nuts. Find the number of boxes of each type of candy to maximize the profit. Write your answer in a complete sentence. Use algebra and graphical linear programming techniques to solve the problem. Algebra must be used to find corner points.