How to manipulate the Unit Cost of a material item on the Quote Line?

As per standard functionality, the Unit Cost of Material items on the Quote Lines is the same value as the Frozen Cost of the Item in the Inventory module.

This is illustrated in the example screenshots below of the HTML UI and Inventory Item UIs respectively

Our requirement is to apply a markup/formula on the Inventory Unit Cost and show the resulting value in the Quoting module, without updating the cost in Inventory directly.

E.g. if the Frozen cost is $100, then we want the Unit Cost in Quoting to be shown with a 12% markup ($112)

Is there any way we can achieve this?