The American Sausage Company (ASC) makes sausage in 1000 pound batches. The ingredients are beef, filler (including spices) and preservatives. Ingredient costs are as follows: beef costs $2.50 per pound, filler costs $1.20 per pound and preservatives cost $1.80 per pound. Government regulations require the product to have at least 60% beef, no more than 20% filler and at most 5% preservatives. However, to maintain freshness, the company must add at least 1% preservatives. The company’s problem is to find the optimal mix of ingredients (in pounds) that minimizes the cost of making a batch of sausage, using linear programming (LP).. Answer the following questions: (a) Write down all decision variables. (b) Write down the objective function. (c) Write down all constraints.