Problem $6-7($Algo$)$

Johnson Industries received a contract to develop and produce four high$-$intensity long$-$distance receiver$/$transmitters for cellular telephones. The first took $2,600$ labor hours and $$45,000$ worth of purchased and manufactured parts; the second took $1,720$ labor hours and $$39,440$ in parts; the third took $1,580$ labor hours and $$37,320$ in parts; and the fourth took $1,440$ labor hours and $$36,390$ in parts.

Johnson was asked to bid on a follow$-$on contract for another dozen receiver per transmitter units. $($Hint: There are two learning curves $-$one for labor and one for parts.$)$ Use Exhibit $6\mathrm{.}5.$

a$.$ Ignoring any forgetting factor effects, how many labor hours should Johnson estimate are needed for the additional $12$ units? Note: Round your answer to the nearest whole number.

Estimated labor

hours