## Related questions with answers

Two people decide to open a business reconditioning toner cartridges for copy machines. They rent a building for $7000/year and estimate that building maintenance, taxes, and insurance will cost$6500/year. Each person wants to make $12/h in the first year and will work 10 h per day for 260 days of the year. Assume that it costs$28 to restore a cartridge and that the restored cartridge can be sold for $45. Write a linear function for the total cost C to operate the business and restore n cartridges during the first year, not including the hourly wage the owners wish to earn.

Solution

VerifiedExpenses for running business are:

- Building Rent
- Maintenance, Taxes and Insurance
- Cost to restore $n$ cartridges

Given:

Rent for the building = $7000 /year\ Cost of Maintenance, Taxes and Insurance= $ 6500 / year\ Cost to restore$n$cartridges = $$28n$.

Hence total cost $(C)$ for first year can be expressed as:

$C=7000+6500+28n = 13500+28n$

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