Ganus Products, Incorporated, has a Relay Division that manufactures and sells a number of products, including a standard relay that could be used by another division in the company, the Electronics Division, in one of its products. Data concerning that relay appear below:

Capacity in units $77,500$

Selling price to outside customers $ $61$

Variable cost per unit $ $18$

Fixed cost per unit $($based on capacity$)$ $ $34$

The Electronics Division is currently purchasing $10,850$ of these relays per year from an overseas supplier at a cost of $$58$ per relay.

Assume that the Relay Division is selling all of the relays it can produce to outside customers. Also assume that $$7$ in variable expenses can be avoided on transfers within the company due to reduced shipping and selling costs. Does there exist a transfer price that would make both the Relay and Electronics Division financially better off than if the Electronics Division were to continue buying its relays from the outside supplier?