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Suppose you are starting your own company selling chocolate covered strawberries. You decide to sell the milk chocolate covered strawberries for a profit of
Suppose you are starting your own company selling chocolate covered strawberries. You decide to sell the milk chocolate covered strawberries for a profit of $2.25/box and the white chocolate covered strawberries at $2.50/box. Market tests and available resources, however, have given you the following constraints. The combined production level should not exceed 800 boxes per month. The demand for the white chocolate is no more than half the demand for milk chocolate strawberries. The production level for white chocolate should be less than or equal to 200 boxes. Using the information in the problem, write the constraints. Let x represent number of milk chocolate boxes produced, and yrepresent number of white chocolate boxes produced. Total number of chocolate boxes that can be produced: x + y Restrictions based on demand of each: y 0 Maximum amount of white chocolate production: y Minimum amount of milk chocolate production: x Minimum amount of white chocolate production: y Vertices of the feasible region: (0,0)(400, X X ,0) Optimization equation: Profit= X+ y Your maximum profit is $ You should produce boxes of milk chocolate and boxes of white chocolate. D
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