Consider a company that mixes three types of products from three types of component materials and two pools. - Product 1 can be sold for $30 per unit up to a demand of 500 units, is composed of a combination of Pool 1, Pool 2, and Component 1 , and can have no more than 3% impurity. - Product 2 can be sold for $25 per unit up to a demand of 600 units, is composed of a combination of Pool 1, Pool 2, and Component 3 , and can have no more than 5% impurity. - Product 3 can be sold for $22 per unit up to a demand of 600 units, is composed of a combination of Pool 1 , Pool 2 , and Component 2, and can have no more than 6% impurity. - Pool 1 is a composed of a combination of Component 1 and Component 2. - Pool 2 is a composed of a combination of Component 1 and Component 3. - Component 1 has a cost of $13 per unit and an impurity of 2%. - Component 2 has a cost of $11 per unit and an impurity of 4% - Component 3 has a cost of $8 per unit and an impurity of 7%. The company must determine how to mix the components and pools to create the pools and products to maximize profit and meet the aforementioned product impurity requirements. Formulate but do not solve the company's goal program. Consider a company that mixes three types of products from three types of component materials and two pools. - Product 1 can be sold for $30 per unit up to a demand of 500 units, is composed of a combination of Pool 1, Pool 2, and Component 1 , and can have no more than 3% impurity. - Product 2 can be sold for $25 per unit up to a demand of 600 units, is composed of a combination of Pool 1, Pool 2, and Component 3 , and can have no more than 5% impurity. - Product 3 can be sold for $22 per unit up to a demand of 600 units, is composed of a combination of Pool 1 , Pool 2 , and Component 2, and can have no more than 6% impurity. - Pool 1 is a composed of a combination of Component 1 and Component 2. - Pool 2 is a composed of a combination of Component 1 and Component 3. - Component 1 has a cost of $13 per unit and an impurity of 2%. - Component 2 has a cost of $11 per unit and an impurity of 4% - Component 3 has a cost of $8 per unit and an impurity of 7%. The company must determine how to mix the components and pools to create the pools and products to maximize profit and meet the aforementioned product impurity requirements. Formulate but do not solve the company's goal program