In 2009, Melrose Chemicals used the following input combination to produce 55,000 gallons of an industrial solvent:

Materials ... 33,000 lbs.

Labor ..... 66,000 hrs.

In 2010, Melrose again planned to produce 55,000 gallons of solvent and was considering two different changes in process, both of which would be able to produce the desired output. The following input combinations are associated with each process change:

The following combination is optimal for an output of 55,000 units. However, this optimal input combination is unknown to Melrose.
Materials ... 22,000 lbs.
Labor ... 44,000 hrs.
The cost of materials is $60 per pound, and the cost of labor is $15 per hour. These input prices hold for 2009 and 2010.

Required:
1. Compute the productivity profiles for each of the following:
a. The actual inputs used in 2009
b. The inputs for each proposed 2010 process change
c. The optimal input combination
Will productivity increase in 2010, regardless of which change is used? Which process change would you recommend based on the prospective productivity profiles?
2. Compute the cost of 2009's productive inefficiency relative to the optimal input combination. Repeat for 2010 proposed input changes. Will productivity improve from 2009 to 2010 for each process change? If so, by how much? Explain. Include in your explanation a discussion of changes in technical and allocative efficiency.
3. Since the optimal input combination is not known by Melrose, suggest a way to measure productivity improvement. Use this method to measure the productivity improvement achieved from 2009 to 2010. How does this measure compare with the productivity improvement measure computed using the optimal inputcombination?

Transcribed Image Text:

Cange I Change II Materials 38,500 bs 27,500 lbs. ,000 hr. 55,000 hrs. Labor 44