Answer:
Net income will increase by $11,250
Explanation:
Provided information,
Current sales = 75,000 units which represents 80% capacity
Therefore, 100% capacity = [tex]\frac{75,000}{0.8} = 93,750 units[/tex]
Fixed cost at 100% capacity = $1.25 [tex]\times[/tex] 93,750 = $117,187.50
Therefore,
Current net income
Sales = 75,000 [tex]\times[/tex] $7.00 = $525,000
Less: Variable cost = 75,000 [tex]\times[/tex] $3.50 = $262,500
Less: Fixed Cost = $117,187.50
Net Operating Income = $145,312.50
Now with the additional order, which is of 15,000 units the additional ideal capacity of 20% will be utilized, further no fixed cost will be incurred, as the entire fixed cost for 100% capacity is utilized, thus
Sales = 15,000 [tex]\times[/tex] $3 = $45,000
Less: Variable cost = 15,000 [tex]\times[/tex] $2.25 = $33,750
Net Income = $11,250
Thus, the net income will increase by $11,250