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Question 1197418: Florence is preparing cookies for a charity event and has to ensure that she earns profit to contribute to the charity. Each packet she sells consists of 10 cookies. Her fixed cost is €60 and the material cost for her cookies is €4.1/ with a packaging cost of €0.5N, in which N is the number of packs for every 10 cookies. Find N if Florence sells each packet for €6.50.
Answer by proyaop(69)   (Show Source):
You can put this solution on YOUR website! **1. Define Variables**
* Let 'N' be the number of packs for every 10 cookies.
**2. Calculate Cost per Packet**
* Material Cost per Packet: €4.10
* Packaging Cost per Packet: €0.50 * N = €0.50N
* Total Cost per Packet: €4.10 + €0.50N
**3. Calculate Revenue per Packet**
* Selling Price per Packet: €6.50
**4. Calculate Profit per Packet**
* Profit per Packet = Revenue per Packet - Total Cost per Packet
* Profit per Packet = €6.50 - (€4.10 + €0.50N)
* Profit per Packet = €2.40 - €0.50N
**5. Determine the Condition for Profit**
* To earn a profit, Profit per Packet must be greater than 0.
* €2.40 - €0.50N > 0
**6. Solve for N**
* -€0.50N > -€2.40
* N < 2.40 / 0.50
* N < 4.8
**Therefore, Florence must produce less than 4.8 packs for every 10 cookies to ensure she earns a profit.**
**Since N represents the number of packs, it must be a whole number.**
* **To guarantee profit, Florence should produce 4 or fewer packs for every 10 cookies.**
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