The Airbags Division of Shepparton Motor Assemblies Produces Airbags That

question 107

Essay

The Airbags Division of Shepparton Motor Assemblies produces airbags that are sold to the Assembly Division and to outsiders.Operating data for the Airbags Division for 2017 are as follows:
$$\begin{array} { | l | r | r | } \hline & \text { Internal Sales } & \text { External Sales } \\\hline \text { Sales: } & & \\\hline 150000 \text { airbags at } \$ 20 & \$ 3000000 & \\\hline 100000 \text { airbags at } \$ 24 & & \$ 2400000 \\\hline \text { Variable expenses at } \$ 8 & \underline { 1200000 } & \underline { 800000 } \\\hline \text { Contribution margin } & \$ 1800000 & \$ 1600000 \\\hline \text { Fixed cost (allocated in units) } & \underline { 1500000 } & \underline { 1000000 } \\\hline \text { Operating profit } & \$ 300000 & \$ 600000 \\\hline\end{array}$$
The Assembly Division has just received an offer from an outside supplier to provide airbags at $8.60 each.The manager of Airbags Division is not willing to meet the $17.20 price.She argues that it costs her $18.00 to produce and sell each airbag.Sales to outside customers are at a maximum of 200 000 airbags.
Required:
a.Verify the Airbags Division's $18.00 unit cost figure.
b.Should the Airbags Division meet the outside price of $17.20? Explain.
c.Could the $17.20 price be met and still show a profit for the Airbags Division sales to the Assembly Division? Show calculations.
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Definitions:

Population Variances

A measure of the distribution of data points in a population, indicating how spread out the data values are from the mean.

Normally Distributed

Describes a data set that follows a normal distribution, where most measurements are concentrated around the mean, creating a bell curve shape.

Level of Significance

The threshold below which a p-value is considered statistically significant, indicating the probability of rejecting the null hypothesis when it is actually true.

Rejection Region

The rejection region is the range of values for which the null hypothesis is rejected in hypothesis testing, determined by the significance level of the test.