Question

Consider the elements of cost in Geordie Ltd, namely, the material cost of a product, the cost of direct labour and the cost of non-labour expenses (usually referred to as the overhead). In this company the material cost of a product is $6 less than thrice the cost of the direct labour; and the overhead is 3/4 of the direct labour cost. Knowing that the total cost of the product is $120, compute the amount of the direct labour rounded to nearest 100-th.

Answer 1

$73.58

Step-by-step explanation:

Total cost of product = $120

Total cost of product = Cost of material + Direct labor + Overhead

Cost of material = (3 * direct labor) - $6

Overhead = ¾ of Direct labor

Total cost of product = 3DL - $6 + DL + ¾ of DL

$120 = 3DL - $6 + DL + 0.75 DL

$126 = 4.75 DL

Direct Labor = 126/4.75

Direct Labor = $26.53

Material cost = (3 * Direct labor) - $6

Material cost = (3 * $26.53) - $6

Material cost = $73.58