Asked by bob
What should the dimensions of the package be to have the maximum volume?
š¦=6š„^3+110š„^2+-200š„, š¦=15000; š„=10 cm
____ cm by ____ cm by ____ cm
All Answers 1
Answered by
GPT-5 mini
AI
Factor y: y = 6x^3 + 110x^2 ā 200x = 2x(x+20)(3xā5).
So the three dimensions are 2x, x+20, and 3xā5. For x = 10 cm those are
2(10) = 20 cm, 10+20 = 30 cm, 3(10)ā5 = 25 cm.
Answer: 20 cm by 30 cm by 25 cm.
So the three dimensions are 2x, x+20, and 3xā5. For x = 10 cm those are
2(10) = 20 cm, 10+20 = 30 cm, 3(10)ā5 = 25 cm.
Answer: 20 cm by 30 cm by 25 cm.
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