SOLUTION: i) A Study conducted by ABC co estimates that the number of cable television subcribers will grow at the rate of (100+210t 3/4) new subscribers per month t months from the start da

Question 481766: i) A Study conducted by ABC co estimates that the number of cable television subcribers will grow at the rate of (100+210t 3/4) new subscribers per month t months from the start date of the services. If 5,000 subscribers signed up for the services before the starting date, how many subscribers will there be 16 months from that date?
ii) The marginal cost of production is found to be C' (x)=1000-20x+x^2 where x is number of units produced. The fixed cost of production is $9000. Find the cost function
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
i) A Study conducted by ABC co estimates that the number of cable television subcribers will grow at the rate of (100+210t^(3/4)) new subscribers per month t months from the start date of the services. If 5,000 subscribers signed up for the services before the starting date, how many subscribers will there be 16 months from that date?
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# of subs = 5000 + (100+210*(16)^(3/4))
= 5000 + (100 +210*8)
= 6780
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ii) The marginal cost of production is found to be C' (x)=1000-20x+x^2 where x is number of units produced. The fixed cost of production is $9000. Find the cost function
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Integrate to get C(x) = 9000+1000x-10x^2+(1/3)x^3
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Cheers,
Stan H.
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