Final answer:
The outskirts location would yield the greatest profit of $3,600 when the monthly demand is 150 cars.
Step-by-step explanation:
To determine which location will yield the greatest profit when the monthly demand is 150 cars, we need to calculate the total costs and revenues for each location. For the central city location, the fixed monthly costs are $6,500 and the variable costs per car are $20. The revenue per car is $80. So, the total costs for 150 cars would be $6,500 + (150 * $20) = $9,500 and the total revenue would be 150 * $80 = $12,000. Therefore, the profit would be $12,000 - $9,500 = $2,500.
For the outskirts location, the fixed monthly costs are $3,900 and the variable costs per car are $30. The revenue per car is also $80. So, the total costs for 150 cars would be $3,900 + (150 * $30) = $8,400 and the total revenue would be 150 * $80 = $12,000. Therefore, the profit would be $12,000 - $8,400 = $3,600.
Based on the calculations, the outskirts location would yield the greatest profit of $3,600 when the monthly demand is 150 cars.