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 $2.60 per pound, filler costs $2.70 per pound and preservatives cost $2.45 per pound.Government regulations require the product to have at least 68% beef, no more than 20% filler and at most 5% preservatives.However, to maintain freshness, the company must add at least 3% 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:

1)Write down all decision variables.

2)Write down the objective function.

3)Write down all constraints.