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My name is Ann [436]
3 years ago
12

An operations manager observes a new production process. Based on production of the first 32 ​units, the manager estimates that

the learning rate is 85​%. If unit ​#32 took 23.52 minutes to complete and the manger is correct about the learning​ rate, how long will unit ​#128 take to​ complete?
Business
1 answer:
Leviafan [203]3 years ago
3 0

Answer:

<em>The answer is 17.01 minutes</em>

Explanation:

<em>Given that:</em>

<em>The learning rate (r) = 85% = 0.85</em>

<em> T₃₂= 23.52 minutes</em>

<em>By applying the learning curve formula</em>

<em>Thus,</em>

<em>Tₙ = T₁ nᵇ</em>

<em>Where b represent ln(r)/ln2</em>

<em>b = ln( 0.85)/ln2 = -0.2344</em>

<em>23.55 = T₁ * (32)^-0.2344</em>

<em>T₁ = 23.55 * (32)^0.2344</em>

<em>Now,</em>

<em>T₁₂₈ = T₁ (128)^ - 0.2344</em>

<em>= 23.55 * (32)^0.2344 * (128)^ - 0.2344</em>

<em>=17.01 minutes</em>

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