Questions: Proctoring Enabled: CHO9Quiz (i) Solved Standahl Air uses two measures of activity, flights and passengers, in the cost formulas in its budgets and performance reports. The cost formula for operating costs is 39,590 per month plus 2,649 per flight plus 4 per passenger. The company expected its activity in August to be 82 flights and passengers, but the actual activity was 85 flights and 297 passengers. The actual cost for plane operating costs in August was 255,690 The plane operating costs in the planning budget for August would be closest to: Multiple Choice 255,690 257,984 265,943 246,666

Proctoring Enabled: CHO9Quiz (i) Solved Standahl Air uses two measures of activity, flights and passengers, in the cost formulas in its budgets and performance reports. The cost formula for operating costs is 39,590 per month plus 2,649 per flight plus 4 per passenger. The company expected its activity in August to be 82 flights and passengers, but the actual activity was 85 flights and 297 passengers. The actual cost for plane operating costs in August was 255,690 The plane operating costs in the planning budget for August would be closest to: Multiple Choice 255,690 257,984 265,943 246,666
Transcript text: Proctoring Enabled: CHO9_Quiz (i) Soved Standahl Air uses two measures of activity, flights and passengers, in the cost formulas in its budgets and performance reports. The cost formula fe operating costs is $\$ 39,590$ per month plus $\$ 2,649$ per flight plus $\$ 4$ per passenger. The company expected its activity in August to be 82 flights and passengers, but the actual activity was 85 flights and 297 passengers. The actual cost for plane operating costs in August was $\$ 255,690$ The plane operating costs in the planning budget for August would be closest to: Multiple Choice \$255,690 \$257,984 \$265,943 \$246,666
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Solution

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Solution Steps

To solve this problem, we need to calculate the plane operating costs based on the expected activity for August using the given cost formula. The formula includes a fixed monthly cost, a cost per flight, and a cost per passenger. We will then compare the calculated cost with the provided options to find the closest match.

Solution Approach
  1. Use the given cost formula: \( \text{Total Cost} = \$39,590 + (\$2,649 \times \text{number of flights}) + (\$4 \times \text{number of passengers}) \).
  2. Substitute the expected number of flights (82) and passengers (800) into the formula.
  3. Calculate the total cost.
  4. Compare the calculated cost with the provided multiple-choice options to find the closest match.
Step 1: Calculate Total Cost

We start with the cost formula for the plane operating costs, which is given by:

\[ \text{Total Cost} = 39590 + (2649 \times \text{number of flights}) + (4 \times \text{number of passengers}) \]

Substituting the expected values of flights and passengers:

\[ \text{Total Cost} = 39590 + (2649 \times 82) + (4 \times 800) \]

Step 2: Perform the Calculations

Calculating each component:

  1. Fixed cost: \( 39590 \)
  2. Cost for flights: \( 2649 \times 82 = 217038 \)
  3. Cost for passengers: \( 4 \times 800 = 3200 \)

Now, summing these values:

\[ \text{Total Cost} = 39590 + 217038 + 3200 = 260828 \]

Step 3: Compare with Options

The calculated total cost is \( 260828 \). We compare this with the provided options:

  • \$255,690
  • \$257,984
  • \$265,943
  • \$246,666

The closest option to \( 260828 \) is \$265,943.

Final Answer

The answer is \(\boxed{265943}\).

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