Problem $6-20($Algo$)$

The Sun River beverage company is a regional producer of teas, exotic juices, and energy drinks. With an interest in healthier lifestyles, there has been an increase in demand for its sugar$-$free formulation.

The final packing operation requires $13$ tasks. Sun River bottles its sugar$-$free product $5$ hours a day, $5$ days a week. Each week, there is a demand for $2,500$ bottles of this product.

$\backslash$table$[[$TASK$,$TIME MINUTES$),$PRECEDING TASKS$],[1,0\mathrm{.}2,-],[2,0\mathrm{.}3,1],[3,0\mathrm{.}2,2],[4,0\mathrm{.}2,2],[5,0\mathrm{.}2,2],[6,0\mathrm{.}2,4,5],[7,0\mathrm{.}1,1],[8,0\mathrm{.}1,7],[9,0\mathrm{.}1,8],[10,0\mathrm{.}1,9],[11,0\mathrm{.}2,6],[12,0\mathrm{.}1,10,11],[13,0\mathrm{.}1,12]]$

Using the following data, solve the assembly$-$line balancing problem and calculate the efficiency of your solution. Use the longest task time for your decision criteria.

Note: Enter your answer as a percentage rounded to $1$ decimal place.

Efficiency

$\%$