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Profit Maximization Analysis for Game-Day Shuttle Service

You run a game-day shuttle service for parking services for the local ball club. Suppose you are compensated $16 per customer, per ride. In other words, your marginal revenue is $16. Your costs for different customer loads are summarized in the following table.
For each customer load, calculate both the marginal cost and the average cost. Then answer the question that follows.
Note: Round your answers to the nearest cent.
Customers Total Cost Marginal Cost Average Cost
($)($ per customer)($ per customer)
1$30
2$34
3$42
4$54
5$70
6$90
7$114
8$142
In order to maximize profits, you should carry 2,5, 7 or 6     customers per load.

Sample Answer

 

Profit Maximization Analysis for Game-Day Shuttle Service:

Thesis Statement:

To maximize profits for the game-day shuttle service, carrying 6 customers per load would be the optimal choice based on the analysis of marginal cost and average cost per customer.

Introduction:

Efficient cost management and pricing strategies are essential for maximizing profits in a game-day shuttle service. By analyzing the marginal cost and average cost per customer for different customer loads, we can identify the most profitable option that minimizes costs and maximizes revenue.

Cost Analysis Table:

Customers Total Cost ($) Marginal Cost ($ per customer) Average Cost ($ per customer)
1 $30 – –
2 $34 $4 $17
3 $42 $8 $14
4 $54 $12 $13.50
5 $70 $16 $14
6 $90 $20 $15
7 $114 $24 $16.29
8 $142 $28 $17.75

Profit Maximization Decision:

– Carrying 2 customers: Marginal Cost = $4, Average Cost = $17
– Carrying 5 customers: Marginal Cost = $16, Average Cost = $14
– Carrying 6 customers: Marginal Cost = $20, Average Cost = $15
– Carrying 7 customers: Marginal Cost = $24, Average Cost = $16.29

Based on the cost analysis, carrying 6 customers per load would be the optimal choice to maximize profits for the game-day shuttle service. This decision ensures a balance between marginal cost and average cost per customer, leading to efficient cost management and revenue generation.

 

 

 

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