**Answer:**

Since the actual expenses is lower than the budgeted expenses, and the variance is positive, a report prepared for the manager of this profit center would show a favorable variance.

**Explanation:**

Revenue variance is the difference between the actual sales volume and the budgeted sales volume.

Revenue variance = Actual sales - Budgeted sales

Budgeted sales = $950000

Actual sales = $900000

Revenue variance = $900000 - $950000

= - $50000

Since the actual sales is lower than the budgeted sales, and the variance is negative, so the variance is unfavorable.

Cost variance is the difference between the budgeted expenses and the actual expenses.

Cost variance = Budgeted expenses - Actual expenses

Budgeted expenses = $600000

Actual expenses = $550000

Cost variance = $600000 - $550000

= $50000

Since the actual expenses is lower than the budgeted expenses, and the variance is positive, so the variance is favorable.

Therefore, Since the actual expenses is lower than the budgeted expenses, and the variance is positive, a report prepared for the manager of this profit center would show a favorable variance.