Answer: No. The machine shouldn't be replaced.
Step-by-step explanation:
Proposal to Replace Equipment
Annual Variable Costs - Present Equipment = $4000
Less: Annual Variable Costs - New Equipment = $1500
Annual Differential Decrease in Cost = $2500
Number of Years Applicable = 5
Total Differential Decrease in Cost = $2500 × 5 = $12500
Proceeds from Sales of Present Equipment = $2000
Cost of New Equipment = $8000
Annual Net Differential Increase in Cost - New Equipment = $18000 - $2000 = $16000
The machine shouldn't be replaced as the total differential decrease in cost is less than the annual net differential increase in cost of the new equipment.