A polutry farm owns 100 laying hens. Each week a hen can either lay 12 eggs or h
ID: 1862819 • Letter: A
Question
A polutry farm owns 100 laying hens. Each week a hen can either lay 12 eggs or hatch 4 eggs, but not both. At the end of the four-week period all eggs and chicks will be sold: an egg will bring 10 cents, and a chick will bring 60 cents. Assume that an egg can be hatched only in the week after it is laid. Otherwise it must be saved and sold for 10 cents. Assume that there are no eggs available for hatching in the first week. Suggest a hen managentment strategy that will maximize profit for this operation.
Explanation / Answer
you have 4 weeks
cost of chick is more than egg
12 eggs cost = 120 cents
4 chicks cost = 240 cents
to get max profit you have to get max chiks
4th week (last week try to make all hens hatch chick ) 100*4=400 chicks
to get 400 chicks need 400 eggs
in 3dr week 34 hens lays 408 eggs remaining 66 hens hatch 264 chicks at end you get 8 eggs+ 264 chicks
in second week 22 hens lays 264 eggs remaining 78 hens hatch 312 chicks at end you get 312 chicks only
in first week all 100 hens lays 1200 eggs in which 312 go for hatching remaining storage 888eggs
end of first week 888 eggs + 0 chicks
ens of second week 0 eggs +312 chicks
end of third week 8 eggs + 264 chicks
end of forth week 0eggs + 400 chicks
Total in four weeks 896 eggs+976 chicks
100 cents= 1 doller
on 896eggs you get 89.6 dollers
on 976chicks you get 585.6 dollers
total you can get 675.2 dollers