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 fo 1

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A view union finds that their costs, in dollars, for any attached job follows the capacity c(t) = 1500t+ 2000 where t > 0 is the period in months, and the scold they accuse a client for the job follows the capacity r(t) = 180t^2 + 100t + 2000. 

(a) What is the shortest sum of period for a purpose they should sanction if they scantiness to be beneficial? (Hint: When are the costs the similar as enrichment?) 

(b) How abundant would their enrichment and costs be at this period?

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