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 have

been produced, 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 if rede$-$

signed to add portability and easier field maintenance, the units could be truck$-$mounted.

The 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?