Josephine started a business selling cosmetics. She spent $4500 to obtain her merchandise, and it costs her S200 per week for general expenses. She earns $550 per week in sales. What is the minimum number of weeks it will take to make a profit?

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Blaze Frank · Accepted Answer

Step 1To solve this problem we need to determine how many weeks (let&#039;s call this w) it will take Josephine&#039;s sales to exceed her up front and ongoing weekly costs.We can represent her weekly sales over w weeks as       $    550    ⋅    w  And we can represent her up front and weekly costs over w weeks as:      $    4500  +      $    200  wNow, we need to know when:      $    550    w    -          (      $      4500      +      $      200      w      )        &amp;gt;    0  Solving for w gives:      550    w    -    4500    -    200    w    &amp;gt;    0              (      550      -      200      )        w    -    4500    &amp;gt;    0        350    w    -    4500    &amp;gt;    0        350    w    -    4500    +    4500    &amp;gt;    0    +    4500        350    w    &amp;gt;    4500                      350        w            350        &amp;gt;          4500      350            w    &amp;gt;    12.9   rounded to the nearest tenth.

Josephine started a business selling cosmetics. She spent $4500 to

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