Ita publishes and sells calendars for $25 each. The cost of producing the calendars is $8 each plus a set up cost of $5950.
How many calendars does Ita need to sell to breakeven? (2 marks)
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Algebra, STD2 A4 2005 HSC 28b
Sue and Mikey are planning a fund-raising dance. They can hire a hall for $400 and a band for $300. Refreshments will cost them $12 per person.
- Write a formula for the cost ($C) of running the dance for
people. (1 mark)
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The graph shows planned income and costs when the ticket price is $20
- Estimate the minimum number of people needed at the dance to cover the costs. (1 mark)
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- How much profit will be made if 150 people attend the dance? (1 mark)
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Sue and Mikey plan to sell 200 tickets. They want to make a profit of $1500.
- What should be the price of a ticket, assuming all 200 tickets will be sold? (3 marks)
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Algebra, STD2 A4 SM-Bank 27
Fiona and John are planning to hold a fund-raising event for cancer research. They can hire a function room for $650 and a band for $850. Drinks will cost them $25 per person.
- Write a formula for the cost ($C) of holding the charity event for
people. (1 mark)
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- The graph below shows the planned income and costs if they charge $50 per ticket. Estimate the number of guests they need to break even. (1 mark)
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- How much profit will Fiona and John make if 80 people attend their event? (1 mark)
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Algebra, STD2 A2 2007 HSC 27b
A clubhouse uses four long-life light globes for five hours every night of the year. The purchase price of each light globe is $6.00 and they each cost
- Write an equation for the total cost (
) of purchasing and running these four light globes for one year in terms of . (2 marks)
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- Find the value of
(correct to three decimal places) if the total cost of running these four light globes for one year is $250. (1 mark)
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- If the use of the light globes increases to ten hours per night every night of the year, does the total cost double? Justify your answer with appropriate calculations. (1 mark)
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- The manufacturer’s specifications state that the expected life of the light globes is normally distributed with a standard deviation of 170 hours.
What is the mean life, in hours, of these light globes if 97.5% will last up to 5000 hours? (1 mark)
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Algebra, STD2 A4 2011 HSC 20 MC
A function centre hosts events for up to 500 people. The cost
to host an event, where
The centre charges $100 per person. Its income
How much greater is the income of the function centre when 500 people attend an event, than its income at the breakeven point?