work out the following problem.the abay automobile assembling company has extra capacity that can be used to produce gears that the company has been buying for birr 10 each. assume the unused capacity has no alternative use. it is a sunk cost . if abay makes the gear it will invent a material costof 3 birrlabor cost of 1 birr and overhead cost of 1 birr per each unit of gear. the annual fixed cost associated with the unused capacity is birr8000. if demandfor the next year is estimated to be 4000 should it be preferable for the company to produce the gears? show all the necessary steps in your computation.