A company produces six products in the following fashion. Each unit of raw material purchased may be used to yield four units of product 1, or two units of product 2, or one unit of product 3. Up to 1200 units of product 1 can be sold, and up to 300 units of product 2 can be sold. Each unit of product 1 can be sold or processed further at no additional processing cost. Each unit of product 1 that is processed yields a unit of product 4. Demand for products 3 and 4 is unlimited. Each unit of product 2 can be sold or be processed further. Each unit of product 2 that is processed further yields 0.8 units of product 5 and 0.3 units of product 6. Up to 1000 units of product 5 can be sold, and up to 800 units of product 6 can be sold. Up to 3000 units of raw material can be purchased at $6 per unit. Leftover units of products 5 and 6 must be destroyed. It costs $4 to destroy each leftover unit of product 5 and $3 to destroy each leftover unit of product 6. Ignoring raw material purchase costs, the per-unit sales price and production cost for each product are shown in Table 1.