Solve the Problem $S = 2 \pi \left( R _ { 1 } + R _ { 2 } \right) \left( h + R _ { 1 } - R _ { 2 } \right) ,$

question 14

Multiple Choice

Solve the problem.
-The surface area of a hollow cylinder (tube) is given by $S = 2 \pi \left( R _ { 1 } + R _ { 2 } \right) \left( h + R _ { 1 } - R _ { 2 } \right) ,$ where $\mathrm { h }$ is the length of the cylinder and $\mathrm { R } _ { 1 }$ and $\mathrm { R } _ { 2 }$ are the outer and inner radii. If $\mathrm { h } _ { , } \mathrm { R } _ { 1 }$ , and $\mathrm { R } _ { 2 }$ are measured to be 10 inches, 3 inches, and 5 inches respectively, and if these measurements are accurate to within $0.1$ inches, estimate the maximum possible error in computing $S$ .

• A) 15.08
• B) 16.96
• C) 11.31
• D) 13.19

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Definitions:

Wagner-Whitin Algorithm

An algorithm used in inventory management for determining the optimal times and quantities for reordering inventory to minimize costs.

Lot-Sizing

The process of determining the optimal order quantity that minimizes both ordering and holding costs.

Holding Costs

Holding costs are the expenses associated with storing inventory, including warehousing, insurance, depreciation, and opportunity costs.

MRP II

Manufacturing Resource Planning, an integrated method of operational planning and control, including aspects from production, inventory management to distribution.