Final answer:
The special order will increase the company's net operating income (NOI) by $25,200, by considering the special selling price and variable costs per unit for the order of 2,000 units.
Step-by-step explanation:
To calculate how much the special order will increase or decrease the company's net operating income (NOI), we only consider the variable costs and the special selling price because fixed costs remain unchanged. The variable costs per unit for this special order are $18 (Direct Materials) + $6.80 (Direct Labor) + $2.40 (Variable Manufacturing Overhead) + $1.80 (Variable Selling & Administrative, which is $0.10 less as stated). Summing these gives a total variable cost of $29 per unit.
The special price is $41.60 per unit. Therefore, the contribution margin per unit is $41.60 - $29 = $12.60. For the special order of 2,000 units, the total increase in NOI is 2,000 units x $12.60, which equals $25,200. The cost of producing and selling a single unit at the company's normal activity level is $45.80, while the selling price for the special order units is $41.60 per unit. The difference in cost is $45.80 - $41.60 = $4.20 per unit.