A rectangular package has a combined length and girth (perimeter of a cross section) of 108 inches
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(a) Write the volume V of the package as a function of x. What is the domain of the function?
(b) Use a graphing utility to graph the function. Be sure to use an appropriate window setting.
(c) What dimensions will maximize the volume of the package? Explain.
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a V l w h x y x x 2 y where 4x y 108 So y 108 4x and V x 2 108 4x 108x 2 4x 3 Domain 0 x 27 b c The dimensions that will maximize the volume of the package are 18 18 36 From the graph the maximum volume occurs when x 18 To find the dimension for y use the equation y 108 4x y 108 4x 108 ...View the full answer
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Sumit kumar
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QUATERNARY Pursuing M.Tech.(2017-2019) in Electronics and Communication Engg. (VLSI DESIGN) from
GNIOT Greater Noida
TERTIARY B.Tech. (2012-2016) in Electronics and Communication Engg. from GLBITM Greater Noida
SECONDARY Senior Secondary School Examination (Class XII) in 2012 from R.S.S.Inter College, Noida
ELEMENTARY Secondary School Examination (Class X) in 2010 from New R.J.C. Public School ,Noida
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