Soft Drinks Shop
Orange: Two(2) 24-packs for $15; One 24-pack for $9
Root Beer: One(1) 24-pack for $14
Cream Soda: One(1) 12-pack for $5
A consumer needs to purchase at least 60 soft drinks for a picnic. Which of the following combinations is the most cost-effective?
A.
2 pack of Orange and 2 packs of Cream Soda
B.
3 packs of Root Beer
C.
1 pack of orange, 2 packs of Root Beer and 1 pack of Cream Soda
D.
4 packs of cream Soda
The correct answer and Explanation is :
To determine the most cost-effective combination of soft drinks for a picnic, we first need to calculate the total number of drinks and the total cost for each option.
A. 2 packs of Orange and 2 packs of Cream Soda
- Orange: 2 packs of 24 = 48 drinks
- Cream Soda: 2 packs of 12 = 24 drinks
- Total drinks: 48 + 24 = 72 drinks
- Cost: 2 packs of Orange ($15) + 2 packs of Cream Soda ($10) = $25
B. 3 packs of Root Beer
- Root Beer: 3 packs of 24 = 72 drinks
- Cost: 3 packs of Root Beer ($42) = $42
C. 1 pack of Orange, 2 packs of Root Beer, and 1 pack of Cream Soda
- Orange: 1 pack of 24 = 24 drinks
- Root Beer: 2 packs of 24 = 48 drinks
- Cream Soda: 1 pack of 12 = 12 drinks
- Total drinks: 24 + 48 + 12 = 84 drinks
- Cost: 1 pack of Orange ($9) + 2 packs of Root Beer ($28) + 1 pack of Cream Soda ($5) = $42
D. 4 packs of Cream Soda
- Cream Soda: 4 packs of 12 = 48 drinks
- Cost: 4 packs of Cream Soda ($20) = $20
Comparison of Total Costs and Drinks:
- Option A: 72 drinks for $25
- Option B: 72 drinks for $42
- Option C: 84 drinks for $42
- Option D: 48 drinks for $20
Conclusion:
The most cost-effective option for purchasing at least 60 soft drinks is Option A, which provides 72 drinks for $25. Despite the other options offering more drinks or being less expensive, they either do not meet the minimum requirement or are significantly more expensive. Thus, Option A is the best choice for a picnic, balancing cost with the number of drinks.