3. Union Water Purification Company (UWPC) is evaluating two possible designs for a new production facility to replace their           present obsolete facility. The total cost functions for the two facilities are: TC1 = 550,000 + 600Q TC2 = 300,000 + 825Q   Both plants would produce an identical desalination device that sells for $2,600 per unit. UWPC foresees no change in demand and intends to estimate sales from an average of the last seven years: Year  Sales ($000) 1,100 1,075 1,200 1,250 1,150 1,100 1,125   Calculate the operating leverage for both plant designs. Find the level of production at which neither plant design has an advantage. Considering the sales information given, which plant design has a greater probability of cost savings?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter8: Cost Analysis
Section: Chapter Questions
Problem 7E
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3. Union Water Purification Company (UWPC) is evaluating two possible designs for a new production facility to replace their

          present obsolete facility. The total cost functions for the two facilities are:

    • TC1 = 550,000 + 600Q
    • TC2 = 300,000 + 825Q

 

Both plants would produce an identical desalination device that sells for $2,600 per unit.

UWPC foresees no change in demand and intends to estimate sales from an average of the last seven years:

Year  Sales ($000)

  1. 1,100
  2. 1,075
  3. 1,200
  4. 1,250
  5. 1,150
  6. 1,100
  7. 1,125

 

  • Calculate the operating leverage for both plant designs.
  • Find the level of production at which neither plant design has an advantage.
  • Considering the sales information given, which plant design has a greater probability of cost savings?
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