The Sweet Smell Fertilizer Company markets bags of manure labeled not less than 60 lb dry weight which is how they have gained a reputation for being honest producers of a quality product. The packaged manure is a combination of compost and sewage wastes. To provide good-quality fertilizer, each bag should contain at least 30 lb of compost but no more than 40 lb of sewage. Each pound of compost costs Sweet Smell 5 cents and each pound of sewage costs 4 cents. Determine the blend of compost and sewage in each 60lb manure bag.

a. Set up the Mathematical Model for this Linear Programming (LP) problem.

b. Solve the problem using Solver.

c. Interpret your solution. You have to interpret the overall objective function; the decision variables;and your constraints.