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Lazer Technologies Inc. (LTI) has produced a total of 20 high-power laser systems that could be used to destroy any approaching enemy missiles or aircraft. The 20 units havebeen produced and funded in part as private research within the research and development arm of LTI, but the bulk of the funding came from a contract with the U.S. Department of Defense (DoD). Testing of the laser units has shown that they are effective defense weapons, and through a redesign to add portability and easier field maintenance, the units could be truck-mounted. DoD has asked LTI to submit a bid for 100 units. The 20 units that LTI has built so far cost the following amounts and are listed in the order in which they were produced:

a. Based on past experience, what is the learning rate?

b. What bid should LTI submit for the total order of 100 units, assuming that learning continues?

c. What is the cost expected to be for the last unit under the learning rate you estimated?

Short Answer

Expert verified

a. The learning rate will be 70%

b. The cost for 100 units will be $145.956million.

c. The cost for the last unit under the learning rate will be $234.84 million.

Step by step solution

01

Introduction

The learning curve, also known as the experience curve, is crucial to competitive strategy since it frequently determines a firm's long-term success or failure.

02

(a) Estimating learning rate in parts a, b, and c

The formula of learning rate is average between unit 1 and unit 2 submission of average learning between unit 2 and unit 4 addition to an average of learning between unit 4 and unit 8 submission to average learning between unit 8 and unit 16 divided by four multiplied by 100.

Learning rate = (10/12 + 6.5/10 + 3.6/6.5 + 2.7/3.6)/4 x 100 = 69.5

= 70%.

Therefore, the learning rate based on experience will be 70%.

03

(b)Total cost of 100 unit

The cumulative factor for 100 units will be the cumulative factor for 120 units subtracted by the cumulative factor for 20 units at a 70% learning rate.

Cumulative factor for 100 units = 19.57 – 7.407

= 12.163

(Measure the cumulative efficiency factor in the table).

The cost for 100 units bid should be equal to unit 1 cost multiplied by thecumulative factor for 100 units.

= 12 x12.163

= $145.956 million

Therefore, the cost for 100 units will be $158.12 million, assuming that learning continues.

04

(c)The cost of last unit under the learning rate

The expected cost for the last unit under learning rate will be a cumulative factor for 120 units multiplied by unit 1 cost.

Expected cost under learning rate = 19.57 x 12

= $234.84 million

Therefore, thecost expected for the last unit under the learning rate will be $234.84 million.

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