MicroLamp inc. produces desk lamps at its factory. The following relates to the production of the desk lamps for the period ending December $31,2021.$

Budgeted $,$Actual

Production $($units$)75,00080,000$

Sales $($units$)72,50077,500$

Fixed production cost $$750,000$ $$781,250$

Fixed selling overhead $$562,500$ $$562,500$

The fixed production overhead was absorbed at a pre$-$determined rate per unit produced. Each desk lamp was sold for $$450.$ At the beginning of January $2021,$ there was opening stock of $4,375$ units valued at $$262,500$; this includes fixed production overhead of $$43,750.$

Required:

$($a$)$ Prepare a marginal costing income statement for the company at December $31,2021$

$($b$)$ Prepare an absorption costing income statement for the company at December $31,2021$

$($c$)$ Reconcile the income under both statements

$($d$)$ Calculate the break$-$even points in units and sales value.