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.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter15: Roots
Section: Chapter Questions
Problem 38A
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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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