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Barnes Company reports the following for its product for its first year of operations.

Direct materials $ $34$ per unit

Direct labor $ $24$ per unit

Variable overhead $ $12$ per unit

Fixed overhead $ $54,000$ per year

Variable selling and administrative expenses $ $2$ per unit

Fixed selling and administrative expenses $ $26,000$ per year

Compute total product cost per unit using absorption costing for the following production levels: $($a$)3,000$ units, $($b$)3,600$ units, and $($c$)4,500$ units.

$2)$ The company sells its product for $$140$ per unit. Compute gross profit using absorption costing assuming the company $($a$)$ produces and sells $3,000$ units and $($b$)$ produces $3,600$ units and sells $3,000$ units.

$3)$ The company sells its product for $$140$ per unit. Compute contribution margin using variable costing assuming the company $($a$)$ produces and sells $3,000$ units and $($b$)$ produces $3,600$ units and sells $3,000$ units.