Wagtail Ltd uses the 'optimal batch size' model (see below) to determine optimal levels of raw materials. Material B is consumed at a steady, known rate over the company's planning horizon of one year; the current usage is 4000 units per annum. The costs of ordering B are invariant with respect to order size; clerical costs of ordering have been calculated at $30 per order. Each order is checked by an employee engaged in using B in production who earns $8 per hour irrespective of his output. The employee generates a contribution of $1 per hour when not involve in material checks and the stock check takes five hours. Holding costs amount to $15 per unit per annum. The supplier of material B has very recently offered Wagtail Ltd a quantity discount of $0.24 a unit on the current price of $24, for all orders of 400 or more units. a.explain how uncertainties in materials usage and lead time may be incorporated into the analysis.

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Wagtail Ltd uses the 'optimal batch size'
model (see below) to determine optimal levels
of raw materials. Material B is consumed at a
steady, known rate over the company's
planning horizon of one year; the current
usage is 4000 units per annum. The costs of
ordering B are invariant with respect to order
size; clerical costs of ordering have been
calculated at $30 per order. Each order is
checked by an employee engaged in using B
in production who earns $8 per hour
irrespective of his output. The employee
generates a contribution of $1 per hour when
not involve in material checks and the stock
check takes five hours. Holding costs amount
to $15 per unit per annum. The supplier of
material B has very recently offered Wagtail
Ltd a quantity discount of $0.24 a unit on the
current price of $24, for all orders of 400 or
more units.
a.explain how uncertainties in materials usage
and lead time may be incorporated into the
analysis.
Transcribed Image Text:Wagtail Ltd uses the 'optimal batch size' model (see below) to determine optimal levels of raw materials. Material B is consumed at a steady, known rate over the company's planning horizon of one year; the current usage is 4000 units per annum. The costs of ordering B are invariant with respect to order size; clerical costs of ordering have been calculated at $30 per order. Each order is checked by an employee engaged in using B in production who earns $8 per hour irrespective of his output. The employee generates a contribution of $1 per hour when not involve in material checks and the stock check takes five hours. Holding costs amount to $15 per unit per annum. The supplier of material B has very recently offered Wagtail Ltd a quantity discount of $0.24 a unit on the current price of $24, for all orders of 400 or more units. a.explain how uncertainties in materials usage and lead time may be incorporated into the analysis.
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