You are the product manager for Yappy canned dog food. To meet government regulations, 40% of each can of dog food must be chicken to be labelled as "chicken". The government also has the following minimum, requirements: protein 8%, calcium 7% and iron 6%. There are four potential ingredients: sliced chicken, shredded chicken, two vitamin supplements and filler. Sliced chicken for example is 20% protein, 6% calcium and 5% iron; the cost is $0.30 per gram. Your task is to find the best mix of ingredients to minimize the cost. Next, suppose a new regulation states that 25% must be sliced chicken. What is the impact on the cost? Briefly explain your steps to solve this business problem.