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What is a flexible budget variance

First, a flexible budget is a budget in which some amounts will increase or decrease when the level of activity changes. A flexible budget variance is the difference between 1) an actual amount, and 2) the amount allowed by the flexible budget.

To help in understanding the flexible budget variance, let's assume that you are the manager of a company's shipping department. You prepared the department's annual budget based on the company's assumption that 50,000 items will be shipped during the budget year. If the annual budget is not changed when more or less than 50,000 items are shipped, it is referred to as a static budget. A summary of the department's static budget based on shipping 50,000 items is:
Fixed expenses (salaries, utilities, etc.) of $350,000 + variable expenses (cartons, helpers, etc.) of $150,000 (50,000 items X $3 each) = total static budget of $500,000.

A flexible budget for the shipping department will increase when more than 50,000 items for the year are shipped and it will decrease when fewer than 50,000 items are shipped. Let's assume that for the year, the department actually shipped 54,000 items. Therefore, the budget for the variable expenses will "flex" for shipping the additional 4,000 items. The resulting flexible budget summary is:
Fixed expenses (salaries, utilities, etc.) of $350,000 + variable expenses (cartons, helpers, etc.) of $162,000 (54,000 items X $3 each) = total flexible budget of $512,000.

Now let's assume that the shipping department's actual expenses for the year were:
Fixed expenses of $351,000 + variable expenses of $157,000 = total actual expenses of $508,000.

The department's total flexible budget variance is $4,000 favorable ($508,000 vs $512,000) compared to the total static budget variance of $8,000 unfavorable ($508,000 vs $500,000). The $12,000 difference between the two variances is the result of the flexible budget being increased by $12,000 to recognize that an additional 4,000 items at a cost of $3 had to be shipped.

The activity which causes the "flex" in the flexible budget could be the amount of sales generated, the number of units of output, the number of machine hours, the number of miles traveled, etc.