Gallant Carpet Cleaning cannot meet demand with its current equipment. Gal- lant Carpet Cleaning is considering two new carpet cleaning machines. Machine A cleans carpets to residential standards, while machine B cleans and sanitizes carpets to hospital standards. Machine A costs $20,000 and machine B costs $50,000. The company estimates its cost per cleaning (including all chemicals) for machine A will be $8 and machine B will be $7. The revenue per carpet cleaned for A would be $40, while B could bring in $45 per carpet, due to the higher degree of sanitation pro- vided. Machine B needs to clean how many more carpets than machine A to break even?

Gallant Carpet Cleaning cannot meet demand with its current equipment. Gal- lant Carpet Cleaning is considering two new carpet cleaning machines. Machine A cleans carpets to residential standards, while machine B cleans and sanitizes carpets to hospital standards. Machine A costs $20,000 and machine B costs $50,000. The company estimates its cost per cleaning (including all chemicals) for machine A will be $8 and machine B will be $7. The revenue per carpet cleaned for A would be $40, while B could bring in $45 per carpet, due to the higher degree of sanitation pro- vided. Machine B needs to clean how many more carpets than machine A to break even?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section4.8: Data Envelopment Analysis (dea)

Problem 42P

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