A company that manufactures memory chips for digital cameras uses the formula c equals 120 cube root of n squared end root plus
1300to determine the cost c, in dollars, of producing n chips.
How much will it cost to produce 250 chips?
2 answers:
Answer:
$6062
Step-by-step explanation:
The formula we are given is
![c=120\sqrt[3]{n^2}+1300](https://tex.z-dn.net/?f=c%3D120%5Csqrt%5B3%5D%7Bn%5E2%7D%2B1300)
We will replace n with 250:
![c=120\sqrt[3]{250^2}+1300\\ \\=120\sqrt[3]{62500} +1300\\\\=120(39.685)+1300\\\\=4762.20+1300\\\\=6062.20 \approx 6062](https://tex.z-dn.net/?f=c%3D120%5Csqrt%5B3%5D%7B250%5E2%7D%2B1300%5C%5C%20%5C%5C%3D120%5Csqrt%5B3%5D%7B62500%7D%20%2B1300%5C%5C%5C%5C%3D120%2839.685%29%2B1300%5C%5C%5C%5C%3D4762.20%2B1300%5C%5C%5C%5C%3D6062.20%20%5Capprox%206062)
The cost:C = 120 · ∛(n²) + 1,300We have to produce 250 memory chips for digital cameras:n = 250C ( 250 ) = 120 · ∛(250²) + 1,300 = = 120 · ∛62,500 + 1,300 = = 120 · 39.685 + 1,300 = = 4,762 + 1,300 = $6,062Answer: It will cost $6,062.
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