36. Marshall Co. produced a pilot run of fifty units of a recently developed piston used in one
of its products. Marshall expected to produce and sell 1,950 units annually. The pilot run required
an average of .55 direct labor hours per piston for 50 pistons. Marshall experienced an eighty
percent learning curve on the direct labor hours needed to produce new pistons. Past experience
indicated that learning tends to cease by the time 800 pistons are produced.
Marshall’s manufacturing costs for pistons are presented below.
Direct labor $14.00 per direct labor hour
Variable overhead 12.00 per direct labor hour
Fixed overhead 20.00 per direct labor hour
Materials 5.00 per unit
Marshall received a quote of $9 per unit from Kytel Machine Co. for the additional 1,900 needed
pistons. Marshall frequently subcontracts this type of work and has always been satisfied with
the quality of the units produced by Kytel.
If the pistons are manufactured by Marshall Co., the average direct labor hours per unit for the
first 800 pistons (including the pilot run) produced is calculated to be (use five decimal places in
calculating the average time):