You have been asked to estimate the per$-$unit selling price of a new line of clothing. The data you have been given is as follows:

Direct labor rate: $$15\mathrm{.}00$ per hour

Production material: $$375$ per $100$ items

Factory overhead: $125\%$ of direct labor

Packing costs: $75\%$ of direct labor

Desired profit: $20\%$ of total manufacturing cost

Past experience has shown that an $80\%$ learning curve applies to the labor required for producing these items. The time to complete the first item has been estimated to be $1\mathrm{.}76$ hours.

Part $1$: Calculate the estimated time to complete the ${50}^{th}$ item, find the $Z_{50}$ AVG. time as your standard time for estimating the unit selling price, and find the unit selling price.

Part $2$: Use Excel sheet approach to fine the Z$50$ and Tx AVG. to calculate the estimated time to complete the ${50}^{th}$ item for different learning curve slop parameters from $75\%$ to $95\%,$ use them as your standard times for estimating again the unit selling price. Use the following table to fill out the results.

$\backslash$table$[[,75\%,80\%,95\%$