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Patrick Street Productions produces musicals - Edexcel - A-Level Economics A - Question 4 - 2021 - Paper 1

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Patrick Street Productions produces musicals. Its latest production is ‘It’s a Wonderful Life’ and the total cost of this production is $200,000. The ticket price is... show full transcript

Worked Solution & Example Answer:Patrick Street Productions produces musicals - Edexcel - A-Level Economics A - Question 4 - 2021 - Paper 1

Step 1

Calculate the total revenue from ticket sales for ‘It’s a Wonderful Life’

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Answer

To calculate the total revenue from ticket sales, we use the following formula:

Total Revenue = Ticket Price × Number of Seats × Number of Shows

Given that:

  • Ticket Price = $40
  • Number of Seats = 300
  • Number of Shows = 5

We can now compute:

Total Revenue = 40×300×5=40 × 300 × 5 = 60,000

Step 2

Calculate the value of the government subsidy

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Answer

To find the government subsidy necessary to cover all costs, we first determine the percentage of revenue covered by ticket sales and charitable donations:

  • Revenue from ticket sales = 30% of total costs = 0.30 × 200,000=200,000 = 60,000
  • Charitable donations = 12.5% of total costs = 0.125 × 200,000=200,000 = 25,000

This leads us to the total covered by ticket sales and donations:

  • Total Covered = 60,000(fromticketsales)+60,000 (from ticket sales) + 25,000 (from donations) = $85,000

Now, to cover the total production cost:

  • Government Subsidy = Total Cost - Total Covered = 200,000200,000 - 85,000 = $115,000

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