An economy is employing 2 units of capital, 5 units of raw materials, and 8 units of labor to produce its total output of 640 units. Each unit of capital costs $10; each unit of raw materials, $4; and each unit of labor, $3. The per-unit cost of production in this economy is

$0.1  

Explanation:

The per unit cost of a production is the sum of variable cost and fixed cost divided by the total number of units produced. The per unit cost is given by the formula:

Per unit cost = (Variable cost + Fixed cost) / Number of units produced

Variable cost = Cost of raw material = Units of raw material × Cost of each unit of raw material = 5 units × $4/unit = $20

Fixed cost = Cost of labor + Capital =(Units of capital × Cost of each unit of capital) + (Units of labor × Cost of each unit of labor)  = (8 units × $3/unit) + (2 units × $10/unit) = $24 + $20 = $44

Variable cost + Fixed cost = $20 + $44 = $64

Per-unit cost of production = (Variable cost + Fixed cost) / Total output = $64 / 640 = $0.1  

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