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  3. 8 a construction company finds that their costs in dollars...

Question: 8 a construction company finds that their costs in dollars...

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8. A construction company finds that their costs, in dollars, for any given job follows the function c(t) 1500t+2000 where t >0 is the time in months, and the rate they charge a client for the job follows the function r(t) 18012+100t+2000. a) What is the shortest amount of time for a project they should accept if they want to be profitable? (Hint: When are the costs the same as revenue?) (b) How much would their revenue and costs be at this time?

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