By selling 15 necklaces the artist will not have a profit, but will have to recover $ 22.5 of her initial investment.
Given that a jewelry artist is selling necklaces at an art fair, and it costs $ 135 to rent a booth at the fair, and the cost of materials for each necklace is $ 4.50, and the artist is selling the necklaces at $ 12 each, to determine if The artist will make profit if she sells 15 necklaces and write an inequality to show the number of necklaces, N, the artist must sell to make a profit, the following calculations must be made:
- First, fixed and variable expenses must be calculated, and income added to them to determine whether or not there is a profit.
- Sales value of 15 necklaces - (Cost of rent + Cost of 12 necklaces) = X
- (15 x 12) - (135 + 15 x 4.5) = X
- 180 - (135 + 67.5) = X
- 180 - 202.5 = X
- -22.5 = X
Therefore, by selling 15 necklaces the artist will not have a profit, but will have to recover $ 22.5 of her initial investment.
An inequality to show the number of necklaces the artist must sell to make a profit is the following:
15X - 135 + 4.5X = X
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