The Health and Wellness Company blends two organic ingredients (Ingredient 1 and Ingredient 2) to produce two health supplements (not steroids) to sell. Supplement 1 must be at least 70% Ingredient 1, and Supplement 2 must be at least 60% Ingredient 2. Up to 4,000 ounces of Supplement 1 can be sold at $6 per ounce, and up to 3,000 ounces of Supplement 2 can be sold at $5 per ounce. Up to 4,500 ounces of Ingredient 1 can be purchased at $5 per ounce, and up to 4,000 ounces of Ingredient 2 can be purchased at $4 per ounce. Required:
Set up and solve the problem to maximize the total profit for the company. The maximum total profit for the correct solution should be $8,000.