Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a business must make the difficult decision to shut down one of its man…

Question

a business must make the difficult decision to shut down one of its manufacturing facilities. which facility will be closed if they decide to close the one with the lowest profit (revenue minus cost)?

seattleboisephoenixpittsburghcharlotte
units (in thousands)936843997740880
cost (in millions)7.65.511.211.99.8
  • pittsburgh
  • phoenix
  • charlotte
  • seattle
  • boise

Explanation:

Step1: Calculate Seattle's profit

$\text{Profit} = 12.6 - 7.6 = 5.0$ (millions)

Step2: Calculate Boise's profit

$\text{Profit} = 9.8 - 5.5 = 4.3$ (millions)

Step3: Calculate Phoenix's profit

$\text{Profit} = 19.5 - 11.2 = 8.3$ (millions)

Step4: Calculate Pittsburgh's profit

$\text{Profit} = 13.7 - 11.9 = 1.8$ (millions)

Step5: Calculate Charlotte's profit

$\text{Profit} = 14.5 - 9.8 = 4.7$ (millions)

Step6: Compare all profits

Order from lowest to highest: $1.8 < 4.3 < 4.7 < 5.0 < 8.3$

Answer:

Pittsburgh