The manufacturing overhead are fixed manufacturing overhead and variable manufacturing overhead
where the total fixed manufacturing overhead remains same
it means the fixed manufacturing overhead at a level of 10000 units will be the at 8000 units
So Fixed manufacturing overhead = 10000*$4 = $40000
Variable manufacturing overhead changes with output so
Variable manufacturing overhead per unit = $1.50
Level of production = 8000
Total variable manufacturing overhead = 8000*$1.50 = $12000
Total manufacturing overhead = $12000+$40000 = $52000
Manufacturing overhead per unit = $52000/8000 = $6.5
Now at 12500 Units
As said earlier total fixed manufacturing overhead cost remains same
So Fixed manufacturing overhead = 10000*$4 = $40000
Variable manufacturing overhead per unit = $1.50
Level of production = 12500
Total variable manufacturing overhead = 12500*$1.50 = $18750
Total manufacturing overhead = $18750+$40000 = $58750
Manufacturing overhead per unit = $58750/12500 = $4.7
Now the last part of the question
The incremental cost to produce a unit is the variable cost per unit as the fixed cost remains same at all level of production
So the incremental manufacturing cost = Direct material per unit + direct labour per unit + variable manufacturing overhead
= $6.00+$3.50+$1.50 = $11.00
Hence solved
Please free to comment for further clarification and please upvote if it was helpful
Thank You
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