The Cost Of Operating A Testing Device For N Minutes Is Given By C(n) = 1.4n^2 - 35n + 270, Can Find The Number Of Minutes The Device Had To Be Operated To Minimize The Cost? What Is The Minimum Cost?
Answer:
See this problem. The minimum of the curve will be on its line of symmetry.
nmin = -(-35)/(2(1.4)) = 35/2.8 = 12.5
C(12.5) = 1.4*12.52 - 35*12.5 + 270 = 218.75 - 437.5 + 270 = 51.25
The minimum cost of 51.25 is achieved when the device operates 12.5 minutes.
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