Grush Consulting has five projects to consider. Each will require time in the next two quarters according to the table below.

$\backslash$table$[[$Project$,$Time in First Quarter,Time in Second Quarter,Revenue$],[$L$,6,9,11,000],[$M$,4,13,11,000],[$N$,6,4,16,000],[$O$,1,2,4,000],[$P$,16,1,19,000]]$

Revenue from each project is also shown. Develop a model whose solution would maximize revenue, stay within the time budget of $26$ in the first quarter and $19$ in the second quarter, and not do both projects $M$ and $P.($Let $L=1$ if project $L$ is selected, $O$ otherwise, and similarly for variables $M,N,O,$ and $P.)$

Max

s$.$t$.$

time in first quarter

time in second quarter

constraint on projects $N$ and $O$

$L,M,N,O,P=0,1$