The American Sausage Company (ASC) makes sausage in 1000-pound batches. The ingredients are beef, filler (including...

 

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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: 1. (5 points) Write down all decision variables. 2. (5 points) Write down the optimization statement for the objective function. 3. (10 points) Write down all constraints. 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: 1. (5 points) Write down all decision variables. 2. (5 points) Write down the optimization statement for the objective function. 3. (10 points) Write down all constraints.

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1 Decision Variables Let x1 the number of pounds of beef x2 the number of poun... View the full answer