The american Sausage company (ASC) makes sausages in 1000 pound batches. The ingredients are beef, fillers (including spices) and preservatives. Ingredients costs are as follows: beef costs $2.50 per pound; fillers costs $1.20 per pound and preservatives costs $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. How ever 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, using linear programming (LP).

1. write down the decision variables.

2. write down the objective function

3. write down all constraints.