A Factory prodwees tar produets A and $B,$ to manufarture one unil of produts $A,$ a maevine has to work for I $\frac{1}{2}$ hours and a craftsman has to arrk

for $2$ hours. To manyfacture one unit of product $B$ the machine has to arork for shans and the orafsman for one hour, in a arek the factery can avail of $80$ hours of mactine time and $70$ hours of croftman's time the protits on each wit of A and $B$ are RSIO and $8$ respectively. If the monyfachre can sell all the items produced how many of ench shand be produced to get Maximum profit per arek? Formulote the alsone as a linear progaming problem.