Use the following table for calculation.

Learning curve coefficients

A job has an 90 percent learning curve. Estimate the time needed to complete the fifth unit of the job. The time for the first unit is unknown. However, units 2 through 4 took a total of 17.90 hours to complete. (Use the value in the table to calculate your answer and not the formula. Round your intermediate calculations and final answer to 3 decimal places.)

\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|} \hline \multirow{3}{*}{\begin{tabular}{l} Unit \\ Number \end{tabular}} & \multicolumn{2}{|c|}{70%} & \multicolumn{2}{|c|}{75%} & \multicolumn{2}{|c|}{80%} & \multicolumn{2}{|c|}{85%} & \multicolumn{2}{|c|}{90%} \\ \hline & Unit & Total & Unit & Total & Unit & Total & Unit & Total & Unit & Total \\ \hline & Time & Time & Time & Time & Time & Time & Time & Time & Time & Time \\ \hline 1 & 1.000 & 1.000 & 1.000 & 1.000 & 1.000 & 1.000 & 1.000 & 1.000 & 1.000 & 1.000 \\ \hline 2 & 0.700 & 1.700 & 0.750 & 1.750 & 0.800 & 1.800 & 0.850 & 1.850 & 0.900 & 1.900 \\ \hline 3 & 0.568 & 2.268 & 0.634 & 2.384 & 0.702 & 2.502 & 0.773 & 2.623 & 0.846 & 2.746 \\ \hline 4 & 0.490 & 2.758 & 0.562 & 2.946 & 0.640 & 3.142 & 0.723 & 3.345 & 0.810 & 3.556 \\ \hline 5 & 0.437 & 3.195 & 0.513 & 3.459 & 0.596 & 3.738 & 0.686 & 4.031 & 0.783 & 4.339 \\ \hline 6 & 0.398 & 3.593 & 0.475 & 3.934 & 0.562 & 4.299 & 0.657 & 4.688 & 0.762 & 5.101 \\ \hline 7 & 0.367 & 3.960 & 0.446 & 4.380 & 0.534 & 4.834 & 0.634 & 5.322 & 0.744 & 5.845 \\ \hline 8 & 0.343 & 4.303 & 0.422 & 4.802 & 0.512 & 5.346 & 0.614 & 5.936 & 0.729 & 6.574 \\ \hline 9 & 0.323 & 4.626 & 0.402 & 5.204 & 0.493 & 5.839 & 0.597 & 6.533 & 0.716 & 7.290 \\ \hline 10 & 0.306 & 4.932 & 0.385 & 5.589 & 0.477 & 6.315 & 0.583 & 7.116 & 0.705 & 7.994 \\ \hline 11 & 0.291 & 5.223 & 0.370 & 5.958 & 0.462 & 6.777 & 0.570 & 7.686 & 0.695 & 8.689 \\ \hline 12 & 0.278 & 5.501 & 0.357 & 6.315 & 0.449 & 7.227 & 0.558 & 8.244 & 0.685 & 9.374 \\ \hline 13 & 0.267 & 5.769 & 0.345 & 6.660 & 0.438 & 7.665 & 0.548 & 8.792 & 0.677 & 10.052 \\ \hline 14 & 0.257 & 6.026 & 0.334 & 6.994 & 0.428 & 8.092 & 0.539 & 9.331 & 0.670 & 10.721 \\ \hline 15 & 0.248 & 6.274 & 0.325 & 7.319 & 0.418 & 8.511 & 0.530 & 9.861 & 0.663 & 11.384 \\ \hline 16 & 0.240 & 6.514 & 0.316 & 7.635 & 0.410 & 8.920 & 0.522 & 10.383 & 0.656 & 12.040 \\ \hline 17 & 0.233 & 6.747 & 0.309 & 7.944 & 0.402 & 9.322 & 0.515 & 10.898 & 0.650 & 12.690 \\ \hline 18 & 0.226 & 6.973 & 0.301 & 8.245 & 0.394 & 9.716 & 0.508 & 11.405 & 0.644 & 13.334 \\ \hline 19 & 0.220 & 7.192 & 0.295 & 8.540 & 0.388 & 10.104 & 0.501 & 11.907 & 0.639 & 13.974 \\ \hline 20 & 0.214 & 7.407 & 0.288 & 8.828 & 0.381 & 10.485 & 0.495 & 12.402 & 0.634 & 14.608 \\ \hline 21 & 0.209 & 7.615 & 0.283 & 9.111 & 0.375 & 10.860 & 0.490 & 12.892 & 0.630 & 15.237 \\ \hline 22 & 0.204 & 7.819 & 0.277 & 9.388 & 0.370 & 11.230 & 0.484 & 13.376 & 0.625 & 15.862 \\ \hline 23 & 0.199 & 8.018 & 0.272 & 9.660 & 0.364 & 11.594 & 0.479 & 13.856 & 0.621 & 16.483 \\ \hline 24 & 0.195 & 8.213 & 0.267 & 9.928 & 0.359 & 11.954 & 0.475 & 14.331 & 0.617 & 17.100 \\ \hline 25 & 0.191 & 8.404 & 0.263 & 10.191 & 0.355 & 12.309 & 0.470 & 14.801 & 0.613 & 17.713 \\ \hline 26 & 0.187 & 8.591 & 0.259 & 10.449 & 0.350 & 12.659 & 0.466 & 15.267 & 0.609 & 18.323 \\ \hline 27 & 0.183 & 8.774 & 0.255 & 10.704 & 0.346 & 13.005 & 0.462 & 15.728 & 0.606 & 18.929 \\ \hline 28 & 0.180 & 8.954 & 0.251 & 10.955 & 0.342 & 13.347 & 0.458 & 16.186 & 0.603 & 19.531 \\ \hline 29 & 0.177 & 9.131 & 0.247 & 11.202 & 0.338 & 13.685 & 0.454 & 16.640 & 0.599 & 20.131 \\ \hline 30 & 0.174 & 9.305 & 0.244 & 11.446 & 0.335 & 14.020 & 0.450 & 17.091 & 0.596 & 20.727 \\ \hline \end{tabular} \begin{tabular}{|l|l|l|} \hline T5 & hours \\ \hline \end{tabular}