Lazer Technologies Incorporated $($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 redesigned 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: Use Exhibit $6\mathrm{.}4$ and Exhibit $6\mathrm{.}5.$

UNIT NUMBER COST $($$ MILLIONS$)$ UNIT NUMBER COST $($$ MILLIONS$)$

$1$ $$13\mathrm{.}011$ $$5\mathrm{.}9$

$210\mathrm{.}1125\mathrm{.}8$

$39\mathrm{.}1135\mathrm{.}6$

$48\mathrm{.}1145\mathrm{.}5$

$57\mathrm{.}7155\mathrm{.}3$

$67\mathrm{.}3165\mathrm{.}3$

$76\mathrm{.}9175\mathrm{.}1$

$86\mathrm{.}6185\mathrm{.}0$

$96\mathrm{.}3194\mathrm{.}9$

$106\mathrm{.}2205\mathrm{.}0$

Based on past experience, what is the learning rate?

Note: Do not round intermediate calculations. Round your answer to the nearest whole percent.

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

Note: Use your rounded learning rate from Part a$.$ Enter your answer in millions of dollars rounded to one decimal place.

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

Note: Use your rounded learning rate from Part a$.$ Enter your answer in millions of dollars rounded to one decimal place.