Automobile Production The number N of cars producedat a certain factory in one day after t hours of operation isgiven by N1t2 = 100t - 5t2, 0 ... t ... 10. If the cost C (indollars) of producing N cars is C1N2 = 15,000 + 8000N,find the cost C as a function of the time t of operation of thefactory.

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A: A company’s yearly total production cost C is typically given by C = C(n) = F + cn, where F is…

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Q: 67. Automobile Production The number N of cars produced at a certain factory in one day after t…

A: Given:           N(t)=100t−5t2,  0≤t≤10C(N)=15000+8000N.

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A: Solve the given expression of C in terms of t.

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Q: On a certain route, an airline carries 6000 passengers per month, each paying $200. A market survey…

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Q: OF CHANGE 1. The management of the Titan Tire Company has detemined that the weekly demand function…

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Q: The reproduction function for a sardine is  f(p) = −0.0004p2 + 2p,  where p and  f(p)  are in…

A: Please see the explanation below

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Q: the unemployment rate in a certain country was 5.5% in january 2002 and 7.1% in january 2003 find a…

A: topic - linear function

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Q: The water level in a glass decreases 0.4 cm each hour due to evaporation. At the beginning of the…

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Q: Gasoline mileage Suppose the cost of driving an automo- bile is a linear function of the number x of…

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Q: A tractor has an initial price of $8000.00 and sells for $1100.00 after 23 years. Assume that the…

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Q: The reproduction function for king salmon in a sea is f(p) = − 1/8 p2 + 8.5p, where p and f(p) are…

A: The reproduction function for king salmon in a sea is

Q: A student is taking two courses. They wish to maximise their average mark for the two courses. The…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.