Problem statement Suppose that you are designing a silo bin to store grain kernels. The construction cost for the cylinder section is $100/m². The construction cost for the cone section is $150/m². Please use the MS Excel Solver to minimize the total cost of the silo with the following two constraints: Vtotal = 50 m³ and total = 5 m. Three design parameters: h₁, h2 and r can be adjusted. Equation: 28

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose that you are designing a silo bin to store grain kernels. The
Problem statement
construction cost for the cylinder section is $100/m2. The construction cost for the cone section is
$150/m2. Please use the MS Excel Solver to minimize the total cost of the silo with the following two
constraints: Velal = 50 m³ and hotal = 5 m. Three design parameters: h1, h2 and r can be adjusted.
田
Equations:
The surface area of the cylinder wall:
A = 2arh,
= Tr r² + h?
A cone
The surface area of the cone wall:
The volume of the cylinder:
1
V
The volume of cone:
cone
3
Transcribed Image Text:Suppose that you are designing a silo bin to store grain kernels. The Problem statement construction cost for the cylinder section is $100/m2. The construction cost for the cone section is $150/m2. Please use the MS Excel Solver to minimize the total cost of the silo with the following two constraints: Velal = 50 m³ and hotal = 5 m. Three design parameters: h1, h2 and r can be adjusted. 田 Equations: The surface area of the cylinder wall: A = 2arh, = Tr r² + h? A cone The surface area of the cone wall: The volume of the cylinder: 1 V The volume of cone: cone 3
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