Final answer:
The total cost for the project is $165,000.
Step-by-step explanation:
To calculate the total cost of the project, you need to add the direct costs and the indirect costs. The direct costs are budgeted at $125,000, and the indirect cost rate is 40%. As the equipment is the only item excluded from the indirect cost base, you need to subtract its cost ($25,000) from the total direct costs. So, the indirect costs are 40% of $100,000 (direct costs minus excluded equipment cost), which is $40,000. Adding the direct costs and indirect costs, the total cost for the project is $125,000 + $40,000 = $165,000. Therefore, the correct answer is c. $165,000.