Math Problem Statement
United Research Associates (URA) had received a contract to produce two units of a new cruise missile guidance control. The first unit took 5,000 hours to complete and cost $40,000 in materials and equipment usage. The second took 4,750 hours and cost $34,000 in materials and equipment usage. Labor cost is charged at $20 per hour. The company expects “learning” to occur relative to labor and also the pricing of parts from suppliers.
The prime contractor has now approached URA and asked to submit a bid for the cost of producing another 20 guidance controls. What will the last unit cost to build? use Exhibit 4A.5 - Improvement Curves: Table of Unit Values and use Exhibit 4A.6 - Improvement Curves: Table of Cumulative Values
Solution
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Math Problem Analysis
Mathematical Concepts
Learning Curve Theory
Exponential Functions
Cost Estimation
Formulas
T_n = T_1 * n^log2(b)
Labor Cost = Hours * Rate
Material Cost = Initial Material Cost * Learning Rate^Unit Number
Theorems
Learning Curve Theorem
Suitable Grade Level
Undergraduate Engineering or Business Studies
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