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Real-Life Activities

Real-Life Math

You are a cereal chemist for a company that produces a variety of baked goods.

One of your tasks is to establish least cost formulations for the production of baked goods. That is, you can use a variety of ingredients to make up a product. The specifications (similar to a recipe) call for certain levels of each ingredient, and the ingredients all cost different amounts.

Your job is make up different cost formulations to determine which mix of ingredients will meet all the specifications regarding taste, nutrition and texture at the lowest possible cost. In some cases, the cheapest ingredient could be in short supply. If that were the case, it would not be suitable for use.

Your company is developing sausage rolls. Various tests have produced specifications for sausage rolls that meet the taste and nutritional requirements. Now you are asked to develop the least cost formulation and let your supervisor know which of the specifications will cost the least to produce.

Sausage Roll Recipe 1:

10 pounds wheat flour
3 pounds butter
1 gallon milk
Spices and leavening agents costing $1.79
10 pounds ground pork
7 pounds ground beef
12 eggs
1/2 pound cane sugar

Sausage Roll Recipe 2:

8 pounds wheat flour
2 pounds potato starch
1 pound shortening
1.25 gallon milk
Spices and leavening agents costing $1.79
9 pounds ground pork
8 pounds ground turkey
14 eggs
1/4 pound cane sugar

The cost of the various ingredients is as follows:

Wheat flour -- $1.45 per pound
Potato starch -- $1.25 per pound
Butter -- $3.15 per pound
Shortening -- $2.25 per pound
Eggs -- $2.35 per dozen
Milk -- $3.99 per gallon
Ground beef -- $3.99 per pound
Ground pork -- $2.99 per pound
Ground turkey -- $3.35 per pound
Cane sugar -- $2.49 per pound

Which of the 2 recipes shows the least cost formulation?