Asked by Summer Garrett on May 09, 2024
Verified
Your firm has expertise with a special type of hand-finished furniture. The learning rate is known to be 75%. If the first piece of furniture took 9 hours, how long will it take to do the second? How long will it take to do the 16th?
Learning Rate
The speed at which learning occurs, leading to faster acquisition of knowledge or skills and improved performance over time.
Hand-Finished Furniture
Furniture that has undergone final finishing touches by hand to enhance quality or aesthetics.
- Assess time and cost forecasts utilizing arithmetic and logarithmic analysis of learning curves.
Verified Answer
NN
nothando nhlanhloMay 10, 2024
Final Answer :
Use the successive doubling (arithmetic) approach. The second will take 0.75 ∗ 9 = 6.75 hours; the 16th will take 0.75 ∗ 0.75 ∗ * 0.75 * 0.75 * 9 = 2.84766 hours.
Unit 1 99 Unit 2 6.7315.75 Unit 3 5.704521.45452 Unit 4 5.06226.51702 Unit 5 4.61431.13173 Unit 6 4.2783835.41012 Unit 7 4.013239.4236 Unit 8 3.796843.22023 Unit 9 3.6157346.83596 Unit 10 3.4610350.29699 Unit 11 3.3267953.62378 Unit 12 3.2087956.83257 Unit 13 3.103959.93652 Unit 14 3.0099362.94645 Unit 15 2.9249665.87142 Unit 16 2.847668.71907\begin{array} { | l | r | r | } \hline \text { Unit 1 } & 9 & 9 \\\hline \text { Unit 2 } & 6.73 & 15.75 \\\hline \text { Unit 3 } & 5.7045 & 21.45452 \\\hline \text { Unit 4 } & 5.062 & 26.51702 \\\hline \text { Unit 5 } & 4.614 & 31.13173 \\\hline \text { Unit 6 } & 4.27838 & 35.41012 \\\hline \text { Unit 7 } & 4.0132 & 39.4236 \\\hline \text { Unit 8 } & 3.7968 & 43.22023 \\\hline \text { Unit 9 } & 3.61573 & 46.83596 \\\hline \text { Unit 10 } & 3.46103 & 50.29699 \\\hline \text { Unit 11 } & 3.32679 & 53.62378 \\\hline \text { Unit 12 } & 3.20879 & 56.83257 \\\hline \text { Unit 13 } & 3.1039 & 59.93652 \\\hline \text { Unit 14 } & 3.00993 & 62.94645 \\\hline \text { Unit 15 } & 2.92496 & 65.87142 \\\hline \text { Unit 16 } & 2.8476 & 68.71907\\\hline\end{array} Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9 Unit 10 Unit 11 Unit 12 Unit 13 Unit 14 Unit 15 Unit 16 96.735.70455.0624.6144.278384.01323.79683.615733.461033.326793.208793.10393.009932.924962.8476915.7521.4545226.5170231.1317335.4101239.423643.2202346.8359650.2969953.6237856.8325759.9365262.9464565.8714268.71907
Unit 1 99 Unit 2 6.7315.75 Unit 3 5.704521.45452 Unit 4 5.06226.51702 Unit 5 4.61431.13173 Unit 6 4.2783835.41012 Unit 7 4.013239.4236 Unit 8 3.796843.22023 Unit 9 3.6157346.83596 Unit 10 3.4610350.29699 Unit 11 3.3267953.62378 Unit 12 3.2087956.83257 Unit 13 3.103959.93652 Unit 14 3.0099362.94645 Unit 15 2.9249665.87142 Unit 16 2.847668.71907\begin{array} { | l | r | r | } \hline \text { Unit 1 } & 9 & 9 \\\hline \text { Unit 2 } & 6.73 & 15.75 \\\hline \text { Unit 3 } & 5.7045 & 21.45452 \\\hline \text { Unit 4 } & 5.062 & 26.51702 \\\hline \text { Unit 5 } & 4.614 & 31.13173 \\\hline \text { Unit 6 } & 4.27838 & 35.41012 \\\hline \text { Unit 7 } & 4.0132 & 39.4236 \\\hline \text { Unit 8 } & 3.7968 & 43.22023 \\\hline \text { Unit 9 } & 3.61573 & 46.83596 \\\hline \text { Unit 10 } & 3.46103 & 50.29699 \\\hline \text { Unit 11 } & 3.32679 & 53.62378 \\\hline \text { Unit 12 } & 3.20879 & 56.83257 \\\hline \text { Unit 13 } & 3.1039 & 59.93652 \\\hline \text { Unit 14 } & 3.00993 & 62.94645 \\\hline \text { Unit 15 } & 2.92496 & 65.87142 \\\hline \text { Unit 16 } & 2.8476 & 68.71907\\\hline\end{array} Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9 Unit 10 Unit 11 Unit 12 Unit 13 Unit 14 Unit 15 Unit 16 96.735.70455.0624.6144.278384.01323.79683.615733.461033.326793.208793.10393.009932.924962.8476915.7521.4545226.5170231.1317335.4101239.423643.2202346.8359650.2969953.6237856.8325759.9365262.9464565.8714268.71907
Learning Objectives
- Assess time and cost forecasts utilizing arithmetic and logarithmic analysis of learning curves.