maximize contrib) 1sell1 + 1.5 sell2 + 2.25sell3 + 3.5 sell4 + 7.5 sell5 - .65input
-.1keep1 - .15keep2 -.25keep3-.4keep4
stage1) .8input -sell1 -keep1 =0
stage2) .85keep1 -sell2 -keep2 = 0
stage3) .7keep2 -sell3 -keep3 =0
stage4) .75keep3 -sell4 -keep4 = 0
stage5) .6keep4 -sell5 =0
cap1) input < 10000
cap2) keep1 < 6000
cap3) keep2 < 6000
cap4) keep3 < 5000
cap5) keep4 < 1500
demand1) sell1 < 10000
demand2) sell2 < 5000
demand3) sell3 < 7000
demand4) sell4 < 8000
demand5) sell5 < 1000