A Customer Molder Produces 6-Ounce Juice Glasses and 10-Ounce Cocktail

Short Answer

A customer molder produces 6-ounce juice glasses and 10-ounce cocktail glasses. The per unit contribution for the juice glasses (x₁) is equal to 60 - 5x₁, and the per unit contribution for the cocktail glasses (x₂) is 80 - 4 x₂ for a total contribution of 60x₁ - 5x₁² + 80x₂ - 4x₂2. Demand requires that the production of juice glasses is twice the production of cocktail glasses (x₁ = 2x₂). Write the objective function for this problem which illustrates the technique of substitution.