Math Problem Statement
Lambda Computer Products competed for and won a contract to produce two prototype units of a new type of computer that is based on laser optics rather than on electronic binary bits.
The first unit produced by Lambda took 5,000 hours to produce and required $250,000 worth of material, equipment usage, and supplies. The second unit took 3,750 hours and used $212,500 worth of materials, equipment usage, and supplies. Labor is $25 per hour. The company expects “learning” to occur relative to labor and also the pricing of parts from suppliers. Use Exhibit 6.5.
Lambda was asked to present a bid for 10 additional units as soon as the second unit was completed. Production would start immediately. What would this bid be?
Solution
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Math Problem Analysis
Mathematical Concepts
Learning Curve
Exponential Growth/Decay
Cost Estimation
Cumulative Average Time Formula
Formulas
Learning Curve (LC) = Time for 2nd Unit / Time for 1st Unit
T_n = T_1 * n^b
Labor Cost = Total Labor Hours * Labor Rate
Material Cost Estimation = Previous Material Cost * Reduction Factor
Theorems
Learning Curve Theorem
Exponential Decay in Labor Costs
Suitable Grade Level
College/Professional Level
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