Question 1197418
**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.**