$14-2$ Beta Corporation is in the process of completing a contract to produce $150$ units for a given customer. The contract consisted of R&D$,$ testing and qualification, and full production. The industrial engineering department had determined that the following number of hours were required to produce certain units:

$\backslash$table$[[$Unit$,$Hours Required Per Unit$],[1,100],[2,90],[4,80],[8,70],[16,65],[32,60],[64,55],[128,50]]$