The Appraisal Department of Oriole Mortgage Bank performs appraisals of business properties for loans being considered by the

bank and appraisals for home buyers that are financing their purchase through some other financial institution. The department

charges $$375$ per home appraisal and its variable costs are $$330$ per appraisal.

Recently, Oriole Mortgage Bank has opened its own Home$-$Loan Department and wants the Appraisal Department to perform $1,350$

appraisals on all Oriole Mortgage Bank$-$financed home loans. Bank management feels that the cost of these appraisals to the Home$-$

Loan Department should be $$360.$ The variable cost per appraisal to the Home$-$Loan Department would be $$10$ less than those

performed for outside customers due to savings in administrative costs.

$($a$)$

Determine the minimum transfer price assuming that the Appraisal Department has excess capacity.

Minimum transfer price

$