Question: A company is making 60 pound bags of an industrial chemical compound that can be made up of different chemicals. The company’s objective is to minimize the cost of each bag since the compound is quite expensive.

Using the tables on the page 6, answer the following questions. The objective function is stated in dollars and the constraints are in pounds.

a) What is the total cost for a 60 pound bag of the compound?

b) How much of each chemical is in a 60 pound bag?

c) How much would a 50 pound bag cost if all else remains constant?

d) If a new requirement states that a minimum of 3 pounds of chemical C be added to the compound, what would be the new cost of a 60 pound bag?

e) How much more of chemical D was used in the original mix than was required?

f) What would the cost of chemical D have to be before we would stop using it in the compound if all constraints stay the same?

g) What would the cost of chemical C have to be before we start using it in the compound?