The company should accept the special order. This is the correct answer.
EXPLANATION
To determine whether to accept the offer or not, we first need to evaluate the profit the new offer brings. And the general rule is, profit = revenue – cost
If the new order is accepted, the revenue will increase by $5 x 2500 = $12,000.
On the other hand, the cost of the current production and the new offer will be the same, $4.5, which consists of $1.5 fixed cost and $3 variable cost. Thus, the fixed cost will increase by $1000 to purchase the machine and the variable cost will increase by $3 x 2500 = $7000.
As a result, the overall profit will increase by $4000 from $12000 -$1000 - $7000.
This is true if we assume that the company uses the whole 25% capacity (2500 units) left even if the new order is only for 1500 units. Therefore, the company should accept the new and special order.
LEARN MORE
If you’re interested in learning more about this topic, we recommend you to also take a look at the following questions:
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KEYWORD: special order, fixed cost, production
Subject: Business
Class: 10-12
Subchapter: Cost