Now reconsider the project in problem 3. Every day the project goes on costs the company $5,000

Question:

Now reconsider the project in problem 3. Every day the project goes on costs the company $5,000 in overhead costs. One of the managers responsible for carrying out activity E feels she can crash the activity by 1 week through the use of overtime. The cost would be only $2,500.
Should the company do it? Why or why not?