Final answer:
After accounting for the fringe benefits and F&A costs on the technician's $40,000 salary, the total amount available for purchasing equipment is $72,320.
Step-by-step explanation:
To calculate how much will be available for equipment after rebudgeting a technician's salary and associated costs, we need to consider both the fringe benefits and the Facilities & Administrative (F&A) costs. The technician's salary is $40,000, the fringe benefits rate is 31.2%, and the institution's F&A rate is 112% of salaries and wages.
The fringe benefits would be $40,000 × 31.2% = $12,480. Adding the fringe benefits to the salary gives us the total salary plus benefits: $40,000 + $12,480 = $52,480.
Then, we need to calculate the F&A costs on the salary: $40,000 × 112% = $44,800. The total amount including F&A costs, but before subtracting fringe benefits: $40,000 + $44,800 = $84,800.
Now, we have the total amount calculated including F&A but before accounting for the fringe benefits already included in our first total ($52,480). To find the amount available for equipment, we must not double-count the fringe benefits. Therefore, we subtract fringe benefits from our last calculation: $84,800 - $12,480 = $72,320. Thus, the total amount available for equipment, after accounting for the technician's salary, F&A costs, and fringe benefits, is $72,320.