The Strikers Technologies Company determines that the marginal cost for their MaxiPak flash disks is given by the differential rate equation dC/dx = −0.02x + 6, 0 ≤ x ≤ 300 where x is the number of MaxiPak flash drives produced and C is the cost in dollars. (i) Determine the general solution of the cost function C.  (ii) Find the particular cost function C, knowing that the cost of producing 10 MaxiPaks of lighters is $400.

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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.