Which inequality models this problem? Josephine started a business selling cosmetics. She spent $4500 to obtain her merchandise, and it costs her $200 per week for general expenses. She earns $550 per week in sales. What is the minimum number of weeks it will take for Josephine to make a profit? A. 200w ≥ 4500 + 550w B. 200w 4500 + 550w C. 550w 4500 + 200w

Question

Which inequality models this problem?

 

Josephine started a business selling cosmetics. She spent $4500 to obtain her merchandise, and it costs her $200 per week for general expenses. She earns $550 per week in sales. What is the minimum number of weeks it will take for Josephine to make a profit?
  
 
 

 
 

  

  A. 
 
200w ≥ 4500 + 550w
   
   

 
 

  

  B. 
 
200w > 4500 + 550w
   
   

 
 

  

  C. 
 
550w < 4500 + 200w
   
   

 
 

  

  D. 
 
550w > 4500 + 200w

johnweldon1993 · Answer

I'm going to assume that D should be greater than or equal to sign...and if that is correct, it is your answer...you must add up all the costs (upfront and variable) to see what it costs to run...and compare that with how much money she makes per week....and when she breaks even that will be a certain number of weeks, including the week she broke even on