Info given in pic is from Questionable Division Company.Question: Assuming that none of the allocated costs for headquarters will go away if Questionable Division is closed, should management close Questionable Division? Why or why not?

For use in P1-P5: Sales $2,000,000 Less: Variable costs 800,000 Contribution margin 1,200,000 Less: Controllable FC 500,000 Segment income 700,000 Less: Allocated costs for headquarters 800,000 Income (Loss) ($100,000) Average investment $2,400,000 The company's cost of capital is 25%.P5. Assuming that none of the allocated costs for headquarters will go away if Questionable Division is closed, should management close Questionable Division? Why or why not