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Sagot :
To determine the missing values in the table, we need to understand the relationship between price, quantity demanded, and total revenue. Here's a step-by-step guide to fill in the table:
1. Columns Provided:
- Price (P): Given.
- Quantity Demanded (Q): Given.
- Total Revenue (TR): Some values are missing and need to be determined.
2. Total Revenue Calculation:
- Total Revenue (TR) = Price (P) × Quantity Demanded (Q)
Using the provided values, let's verify the calculations and fill in any missing values:
| Price (P) | Quantity Demanded (Q, Gallons) | Total Revenue (TR, Dollars) |
|-------|--------------------------|-----------------------------|
| 5.40 | 0 | 0 |
| 4.95 | 40 | 4.95 × 40 = 198.00 |
| 4.50 | 80 | 4.50 × 80 = 360.00 |
| 4.05 | 120 | 4.05 × 120 = 486.00 |
| 3.60 | 160 | 3.60 × 160 = 576.00 |
| 3.15 | 200 | 3.15 × 200 = 630.00 |
| 2.70 | 240 | 2.70 × 240 = 648.00 |
| 2.25 | 280 | 2.25 × 280 ≠ 530.00 (Check value)|
| 1.80 | 320 | 1.80 × 320 = 576.00 |
| 1.35 | 360 | 1.35 × 360 = 486.00 |
| 0.90 | 400 | 0.90 × 400 = 360.00 |
| 0.45 | 440 | 0.45 × 440 = 198.00 |
| 0.00 | 480 | 0.00 × 480 = 0 |
Notice there was an error in the table provided in the question for the total revenue at price 2.25. The correct value should be calculated using the formula:
[tex]\[ \text{Total Revenue} = 2.25 \times 280 = 630.00 \][/tex]
So the corrected table is:
| Price (P) | Quantity Demanded (Q, Gallons) | Total Revenue (TR, Dollars) |
|-------|--------------------------|---------------------------|
| 5.40 | 0 | 0 |
| 4.95 | 40 | 198.00 |
| 4.50 | 80 | 360.00 |
| 4.05 | 120 | 486.00 |
| 3.60 | 160 | 576.00 |
| 3.15 | 200 | 630.00 |
| 2.70 | 240 | 648.00 |
| 2.25 | 280 | 630.00 |
| 1.80 | 320 | 576.00 |
| 1.35 | 360 | 486.00 |
| 0.90 | 400 | 360.00 |
| 0.45 | 440 | 198.00 |
| 0.00 | 480 | 0 |
By understanding the total revenue formula and recalculating the required values, we have determined the correct total revenue amounts.
1. Columns Provided:
- Price (P): Given.
- Quantity Demanded (Q): Given.
- Total Revenue (TR): Some values are missing and need to be determined.
2. Total Revenue Calculation:
- Total Revenue (TR) = Price (P) × Quantity Demanded (Q)
Using the provided values, let's verify the calculations and fill in any missing values:
| Price (P) | Quantity Demanded (Q, Gallons) | Total Revenue (TR, Dollars) |
|-------|--------------------------|-----------------------------|
| 5.40 | 0 | 0 |
| 4.95 | 40 | 4.95 × 40 = 198.00 |
| 4.50 | 80 | 4.50 × 80 = 360.00 |
| 4.05 | 120 | 4.05 × 120 = 486.00 |
| 3.60 | 160 | 3.60 × 160 = 576.00 |
| 3.15 | 200 | 3.15 × 200 = 630.00 |
| 2.70 | 240 | 2.70 × 240 = 648.00 |
| 2.25 | 280 | 2.25 × 280 ≠ 530.00 (Check value)|
| 1.80 | 320 | 1.80 × 320 = 576.00 |
| 1.35 | 360 | 1.35 × 360 = 486.00 |
| 0.90 | 400 | 0.90 × 400 = 360.00 |
| 0.45 | 440 | 0.45 × 440 = 198.00 |
| 0.00 | 480 | 0.00 × 480 = 0 |
Notice there was an error in the table provided in the question for the total revenue at price 2.25. The correct value should be calculated using the formula:
[tex]\[ \text{Total Revenue} = 2.25 \times 280 = 630.00 \][/tex]
So the corrected table is:
| Price (P) | Quantity Demanded (Q, Gallons) | Total Revenue (TR, Dollars) |
|-------|--------------------------|---------------------------|
| 5.40 | 0 | 0 |
| 4.95 | 40 | 198.00 |
| 4.50 | 80 | 360.00 |
| 4.05 | 120 | 486.00 |
| 3.60 | 160 | 576.00 |
| 3.15 | 200 | 630.00 |
| 2.70 | 240 | 648.00 |
| 2.25 | 280 | 630.00 |
| 1.80 | 320 | 576.00 |
| 1.35 | 360 | 486.00 |
| 0.90 | 400 | 360.00 |
| 0.45 | 440 | 198.00 |
| 0.00 | 480 | 0 |
By understanding the total revenue formula and recalculating the required values, we have determined the correct total revenue amounts.
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