To help the team determine how many bats of each brand they could buy, we need to know the total budget they have to purchase at least 8 bats from the given options. Since the prices are as follows:
- White series: $4.00 per bat
- Silver series: $7.00 per bat
- Gold series: $8.00 per bat
Let's consider a few budgeting scenarios:
Scenario 1: Total Budget of $32
If the team has a budget of $32:
- Maximum Bats (White series): They could buy \( \frac{32}{4} = 8 \) white bats.
- Combination of Bats:
- 4 white series and 4 silver series: \( 4 \times 4 + 4 \times 7 = 16 + 28 = 44\) (over budget).
- To stay within budget while optimizing for quality, a mix could be 2 silver and 6 white: \( 2 \times 7 + 6 \times 4 = 14 + 24 = 38 \) (still over).
- Mix of 1 gold, 1 silver, and 6 white bats: \( 8 + 7 + 24 = 39\) (also over budget).
The best combination without exceeding potential budgets would need to reduce one of the counts until they hit 32. Trying again for 2 gold, 1 silver, and 5 white will hopefully align to just hit budget near the target of 32.
Summary:
Without a specific budget cited, I can't provide definite counts for exact bats until clarified. If the budget provided is higher than calculated, this approach can provide potential batt counts to achieve a reasonable balance while seeking to maximize enrolled quality.
Please provide your total budget so I can offer more precise combinations under your constraints.