Liam and his friends are hosting a bake sale to raise funds for their school trip. They decided to sell cookies for $3 each and muffins for $5 each. Their goal is to raise at least $300, but they want to sell no more than 80 items in total. Select one of the following combinations that Liam can sell to make at least $300 while keeping the total items sold to a maximum of 80: (1 point) Responses 50 cookies and 30 muffins 50 cookies and 30 muffins 30 cookies and 25 muffins 30 cookies and 25 muffins 25 cookies and 30 muffins 25 cookies and 30 muffins 40 cookies and 20 muffins

1 answer

To find a suitable combination, we need to calculate both the total revenue generated and the total number of items sold for each option.

  1. 50 cookies and 30 muffins

    • Total items: 50 + 30 = 80 items
    • Total revenue: (50 * 3) + (30 * 5) = 150 + 150 = $300
  2. 30 cookies and 25 muffins

    • Total items: 30 + 25 = 55 items
    • Total revenue: (30 * 3) + (25 * 5) = 90 + 125 = $215
  3. 25 cookies and 30 muffins

    • Total items: 25 + 30 = 55 items
    • Total revenue: (25 * 3) + (30 * 5) = 75 + 150 = $225
  4. 40 cookies and 20 muffins

    • Total items: 40 + 20 = 60 items
    • Total revenue: (40 * 3) + (20 * 5) = 120 + 100 = $220

The only combination that meets the goal of raising at least $300 while selling no more than 80 items is:

50 cookies and 30 muffins.

This combination sells exactly 80 items and raises exactly $300.