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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 find the total revenue from ticket sales, we first need to determine the total number of tickets sold:

  1. Total Seats in Theatre: 300 seats
  2. Number of Shows: 5 shows

Therefore, the total tickets sold is:

300extseatsimes5extshows=1500exttickets300 ext{ seats} imes 5 ext{ shows} = 1500 ext{ tickets}

Next, we calculate the total revenue from these ticket sales:

  1. Ticket Price: $40

Thus, the total revenue from ticket sales will be:

1500extticketsimes40extdollars=60000extdollars1500 ext{ tickets} imes 40 ext{ dollars} = 60000 ext{ dollars}

The total revenue from ticket sales for ‘It’s a Wonderful Life’ is $60,000.

Step 2

Calculate the value of the government subsidy necessary for this production to cover all of its costs

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Answer

To find the government subsidy required, we start from the total cost and work backward:

  1. Total Cost of Production: $200,000
  2. Revenue Contribution from Ticket Sales: We calculated this in part (a) as $60,000.

The proportion of total costs covered by ticket sales is 30%, therefore:

  1. Charitable Donations Contribution: 12.5% of total costs:

    • 0.125imes200000=25000extdollars0.125 imes 200000 = 25000 ext{ dollars}
  2. Total Contribution from Ticket Sales and Donations:

    • Total Contribution: 60000+25000=85000extdollars60000 + 25000 = 85000 ext{ dollars}
  3. Calculate the Remaining Amount Needed:

    • Remaining Cost to be Covered by Government Subsidy:
    • 20000085000=115000extdollars200000 - 85000 = 115000 ext{ dollars}

Hence, the value of the government subsidy necessary for this production to cover all of its costs is $115,000.

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