Pharoah Doors, Inc. is in the process of setting a target price on its newly designed patio door. Cost data relating to the door at a budgeted volume of $5,000$ units is as follows:

$\backslash$table$[[,$Per Unit,Total$],[$Direct materials,$$250,],[$Direct labour,$170,],[$Variable manufacturing overhead,$80,],[$Fixed manufacturing overhead,,$],[$Variable selling and administrative expenses,$13,],[$Fixed selling and administrative expenses,,$410,0000]]$

Pharoah uses cost$-$plus pricing that provides it with a $25\%$ ROI on its patio door line. A total of $$3,500,000$ in assets is committed to production of the new door.

$($a$)$

Calculate each of the following under the absorption approach:

i$.$ Markup percentage needed to provide desired ROI.

ii$.$ Target price of the patio door.

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