Answer:
To make a profit of at least $500 she must sell at least 12 necklaces
Step-by-step explanation:
Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each beaded necklace was $15. If Joyce sells the beaded necklaces at $35 each then we have to find beaded necklaces she sell to make a profit of at least $500.
The costs side of the equation, we have:
Let no. of necklaces that she sell are x
∴ The cost of making and packaging x beaded necklace is $15x
Total Cost = 95+15x
Now, Joyce sells the beaded necklaces at $35 each. Therefore, selling price will be $35x
To make a profit of at least $500 the equation can be written as
[tex]95+15x+500\leq35x[/tex]
[tex]595\leq50x[/tex]
⇒ [tex]x\geq11.9=12[/tex]
Hence, to make a profit of at least $500 she must sell at least 12 necklaces
Answer: She must sell at least 30 beaded necklaces to make a profit of at least $500.
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given:
Where $95 is the cost of renting the booth, and n is the number of necklaces
To break even the equation is:
95+15x = 35x
Since she wants at least have a profit of $500, (at least means more or equal)
The profit will be placed in the cost side:
95 +15x+500 ≤35x
Solving:
95+500≤35x-15x
595 ≤ 20x
595/20 ≤ x
29.75≤ x
Rounded
30 ≤x
She must sell at least 30 beaded necklaces to make a profit of at least $500.
