For #1, find parts (a)-(c) only. DO NOT SOLVE the problem!!!! 1. A company wishes to manufacture an open rectangular box with a volume of 32 ft³ that has a square base. Suppose you wanted to determine the dimensions that yield the minimum surface area? Hint: A = lw + 21h + 2wh (Use A, s, and h in your answers below.) (a) Write the objective function use the appropriate variables. (b) Write the constraint function. (c) Express the objective function as a function of s using the constraint function.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
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Problem 6PT: Solve the following application problem. A rectangular field is to be enclosed by fencing. In...
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For #1, find parts (a)-(c) only. DO NOT SOLVE the problem!!!!
1. A company wishes to manufacture an open rectangular box with a volume of 32 ft³ that has
a square base. Suppose you wanted to determine the dimensions that yield the minimum
surface area? Hint: A = lw + 21h + 2wh (Use A, s, and h in your answers below.)
(a) Write the objective function use the appropriate variables.
(b) Write the constraint function.
(c) Express the objective function as a function of s using the constraint function.
Transcribed Image Text:For #1, find parts (a)-(c) only. DO NOT SOLVE the problem!!!! 1. A company wishes to manufacture an open rectangular box with a volume of 32 ft³ that has a square base. Suppose you wanted to determine the dimensions that yield the minimum surface area? Hint: A = lw + 21h + 2wh (Use A, s, and h in your answers below.) (a) Write the objective function use the appropriate variables. (b) Write the constraint function. (c) Express the objective function as a function of s using the constraint function.
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