Question

For the next two problems (5. and 6.) you may refer to the below chart of...

For the next two problems (5. and 6.) you may refer to the below chart of learning curve coefficients and multipliers or you can calculate the coefficients using the formulas discussed in the lectures. You will arrive at the same answer regardless of which path you choose.

70%

75%

80%

85%

Unit

Unit

Time

Total

Time

Unit

Time

Total

Time

Unit

Time

Total

Time

Unit

Time

Total

Time

5

.437

3.195

.513

3.459

.596

3.738

.686

4.031

10

.306

4.932

.385

5.589

.477

6.315

.583

7.116

15

.248

6.274

.325

7.319

.418

8.511

530

9.861

20

.214

7.407

.288

8.828

.381

10.485

.495

12.402

25

.191

8.404

.263

10.191

.355

12.309

.470

14.801

30

.174

9.305

.244

11.446

.335

14.020

.450

17.091

35

.160

10.133

.229

12.618

.318

15.643

.434

19.294

40

.150

10.902

.216

13.723

.305

17.193

.421

21.425

  1. It took your company 100,000 labor-hours to produce the first of several oil drilling rigs for offshore exploration.  Your company has agreed to purchase the fifth oil drilling rig from their manufacturing yard. Assume that your company experiences a learning rate of 75%.  At a labor rate of $45 per hour, what should you, as the purchasing agent expect to pay for the fifth unit?  Remember, the simplified formula for calculating learning rate time is given as:

TN= T1C

Where TN       = Time needed to produce the Nthunit

            T1        = Time needed to produce the first unit

                        C         = Learning curve coefficient

  1. Problem 5 identified how long it should take to complete the fifth oil drilling platform that your company plans to purchase.  How long (in hours) should all five offshore oil-drilling rigs take to complete?

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