149. The Wentworth Company manufactures modular furniture for the home and uses a
monthly variance system to control costs of the manufacturing departments. Edward Collins is
the supervisor of the Assembly Department and is reviewing the monthly variance analysis for
November, which showed a significant cost overrun (i.e., negative cost variance). Collins has
gathered the following information to assist him in deciding whether or not to investigate the
unfavorable cost variance for the Assembly Department:
Estimated cost (I) to investigate the variance $4,000
Estimated probability that the Assembly Department is operating properly, that is,
the probability that the observed variance is a random event = (1 –
p
) = 90%
If the Assembly Department is operating out of control (i.e., improperly):
Estimated cost (C) to correct the process = $8,000
Estimated loss (L) if the observed variance is the result of a nonrandom cause
but the company fails to investigate = $40,000
Required:
Recommend whether Wentworth Company should investigate the observed unfavorable cost
variance. Support your answer by:
1. Preparing a payoff table for use in making the decision.
2. Computing the expected value of the cost of each of the two actions that management can
take: investigate the variance, or do not investigate the variance. (Let
p
= the probability that the
process is out of control, that is, the probability of a nonrandom variance, and (1 –
p
) = the
probability that the process is in control, that is, the probability that the observed variance is due
to random causes.)