Relay Corporation manufactures batons. Relay can manufacture 300,000 batons a year at a variable cost of$750,000 and a fixed cost of $450,000. Based on Relay's predictions, 240,000 batons will be sold at the regular price of $5.00 each. In addition, a special order was placed for 60,000 batons to be sold at a 40% discount off the regular price. Required: By what amount would income before income taxes be increased or decreased as a result of the special order

Respuesta :

Answer:

The total rise in income is $30,000

Explanation:

The computation is shown below:

Sale price     3     {5 × (1 - 0.40)

Less: Incremental cost  2.5   ($750,000 ÷ 300,000)

Increase in income per unit   0.50

Divide by Total units    60,000

Total increase in income   $30,000

Hence, the total rise in income is $30,000 and the same is to be considered

The total rise in income before tax is $30,000 as a result of a special offer when the Relay Corporation manufactures batons.

What is income?

Income is defined as the consumption and saving opportunity achieved by a commodity within a nominal time structure, which is commonly represented in monetary words. Income is challenging to describe conceptually, and the explanation may be further across areas.

Computation of change in income:

According to the given information,

Regular price = $5.

Discount Rate=40%

Then sales price would be:

[tex]\text{Sale Price}= \text{Regular Price}(1- \text{Discount Rate})\\\\\text{Sale Price}=\$5 \text (1 - 0.40)\\\\\text{Sale Price}= \$3[/tex]

Then the incremental cost is:

[tex]\text{Incremental Cost}=\dfrac{ \text{Variable Cost}}{\text{Units Produced}}\\\\ \text{Incremental Cost}=\dfrac{\$750,000}{\$300,000}\\\\ \text{Incremental Cost}=2.5[/tex]

Increase in income per unit:

[tex]\text{Increase In Income}=\text{Sales Price}- \text{Incremental Cost}\\\\\text{Increase In Income}=\$3-\$2.5\\\\\text{Increase In Income}=0.50[/tex]  

Therefore, the increase in income is :

[tex]=\text{Per unit Increase In Income}\times\text{Total Units}\\\\=0.50\times60,000\\\\=\$30,000[/tex]

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