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Question 4
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
Step 1
Answer
To find the total revenue from ticket sales, we first need to determine the total number of tickets sold:
Therefore, the total tickets sold is:
Next, we calculate the total revenue from these ticket sales:
Thus, the total revenue from ticket sales will be:
The total revenue from ticket sales for ‘It’s a Wonderful Life’ is $60,000.
Step 2
Answer
To find the government subsidy required, we start from the total cost and work backward:
The proportion of total costs covered by ticket sales is 30%, therefore:
Charitable Donations Contribution: 12.5% of total costs:
Total Contribution from Ticket Sales and Donations:
Calculate the Remaining Amount Needed:
Hence, the value of the government subsidy necessary for this production to cover all of its costs is $115,000.
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