Part 2

Directions: Use the following table for Part 2. The team needs to buy at least 8
new bats. The higher the price, the better the bat. The team wants to buy the best
bats they can afford. Help the team decide which bats to buy.
Softball Bat Prices
Brand of Bat Price per Bat
white series $4.00
silver series $7.00
gold series $8.00
How many bats of each brand could the team buy?

1 answer

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:

  1. Maximum Bats (White series): They could buy \( \frac{32}{4} = 8 \) white bats.
  2. 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.