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Using the data in the decision tree, calculate the net gain for the marketing campaign - Edexcel - A-Level Business - Question 1 - 2022 - Paper 2

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Using the data in the decision tree, calculate the net gain for the marketing campaign. State your answer to two decimal places. You are advised to show your working... show full transcript

Worked Solution & Example Answer:Using the data in the decision tree, calculate the net gain for the marketing campaign - Edexcel - A-Level Business - Question 1 - 2022 - Paper 2

Step 1

Calculate Expected Revenue

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Answer

The expected revenue from the marketing campaign is calculated as follows:

  • The probability of success is 0.6.
  • The total revenue if successful is £3 million.

Thus, the expected revenue is:

egin{align*} ext{Expected Revenue} &= 0.6 imes £3,000,000 \ &= £1,800,000 \end{align*}

Step 2

Calculate Initial Cost

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Answer

The initial cost of the marketing campaign is 20% of the £50,000 total:

egin{align*} ext{Initial Cost} &= 0.4 imes £50,000 \ &= £20,000 \end{align*}

Step 3

Calculate Net Gain

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Answer

The net gain can be calculated by subtracting the initial cost from the expected revenue:

egin{align*} ext{Net Gain} &= ext{Expected Revenue} - ext{Initial Cost} \ &= £1,800,000 - £20,000 \ &= £1,780,000 \end{align*}

Step 4

Final Net Gain Value

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Answer

Therefore, the final net gain for the marketing campaign is:

egin{align*} ext{Net Gain} &= £1,780,000 \ &= ext{or} \$1.78 ext{ million} \end{align*}

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