Suad$$ Alwan, the purchasing agent for Dubai$$ Airlines, has determined that the fourth plane took $10$ comma $000$ hours to produce. Using an $90\%$ learning curve and a $ $50-$per$-$hour labor$$ charge, he wants to determine the cost of the fifth plane.$$

Part $2$

To determine the$$ cost$,$ firstly you need to determine the time for the fifth plane using the given learning rate. Relationship for determining the time$$ is:$$Time required for nth unit equals Upper T times Upper L Superscript n to use which you need the time for the first unit$($T$)($remember that the $"$n$"$ represents the number of times T is$$ doubled$).$

Using the$$ equation, the given time and learning$$ rate, determine the time for the first unit. The amount of time that it would take to produce the first unit$=$

$$

$12345\mathrm{.}6790$ hours.

$($response should be rounded to the nearest $2$nd decimal$$ place$)$

Part $3$

Time required for the fifth $$unit: