Chapter 8 – Standard Costs and Variance Analysis
Why Standard Costs Exist
A standard cost is a target cost or quantity set before production begins, used both to build budgets and to judge performance once the period is over. Any cost formula used in budgeting, such as a per-unit material cost, doubles as a standard the moment it is compared against what actually happened. Because direct material, direct labor, and variable manufacturing overhead all change in total as production volume changes, each of these three product cost categories gets its own standard, and each standard has two parts: a quantity standard, describing how much input a unit should require, and a price standard, describing what each unit of that input should cost. Fixed manufacturing overhead is handled differently, since it does not vary with output and so only carries a price-style standard, evaluated by comparing the budgeted fixed amount to the actual amount incurred rather than through the quantity-and-price method used here.
From Standard to Variance
Once the period ends, the actual quantity used and actual price paid for each input are pulled from the accounting records and compared against the standard. Any gap between what was planned and what actually occurred is a variance, and every variance is labeled favorable or unfavorable rather than simply positive or negative: a variance is favorable when the standard amount exceeds the actual amount, and unfavorable when the actual amount exceeds the standard. A favorable variance is not automatically good news and an unfavorable variance is not automatically bad news; both are signals that something happened differently than planned, and both deserve investigation into the underlying cause before anyone draws a conclusion about performance.
Worked Example: BrightPath Outdoor Co.
Soraya designed QuickCoil, a self-retracting reel for extension cords that keeps campsite and garage cords from tangling. Her standards call for 3.5 yards of woven strap per unit at $0.80 per yard, for a direct material cost of $2.80 per unit; 0.2 direct labor hours per unit at $16.00 per hour, for a direct labor cost of $3.20 per unit; and variable manufacturing overhead applied at $2.50 per direct labor hour, adding $0.50 per unit, since overhead is driven by the same 0.2 hours used for labor. Together the standard variable cost to produce one QuickCoil is $6.50.
During the period BrightPath produced 120,000 units. The standard variable cost allowed for that volume is 120,000 units times $6.50, or $780,000. Actual costs came in higher: $348,000 for direct materials, $403,000 for direct labor, and $70,200 for variable manufacturing overhead, for a total of $821,200. The total variable manufacturing cost variance is $780,000 minus $821,200, or $41,200 unfavorable. That single number tells Soraya she spent more than planned, but not why, so the next step is to break the total down by input.
Direct Materials Variances
The standard quantity of strap allowed for 120,000 units is 3.5 yards per unit times 120,000 units, or 420,000 yards, which at the $0.80 standard price would cost $336,000. BrightPath actually purchased and used 400,000 yards for $348,000, putting the actual price at $348,000 divided by 400,000 yards, or $0.87 per yard. The total direct materials variance is $336,000 minus $348,000, or $12,000 unfavorable.
Splitting that total, the direct materials quantity variance compares the quantity difference to the standard price: the standard quantity of 420,000 yards less the actual quantity of 400,000 yards is 20,000 yards favorable, times the $0.80 standard price, for a $16,000 favorable quantity variance. BrightPath used less strap per unit than planned, which is worth investigating on its own, since it could reflect a tighter, more efficient cutting process or could signal that units are being under-sized. The direct materials price variance compares the price difference to the actual quantity: the standard price of $0.80 less the actual price of $0.87 is $0.07 unfavorable per yard, times the 400,000 yards actually used, for a $28,000 unfavorable price variance, most likely traceable to a supplier price increase or a rush order placed outside the normal purchasing agreement. The two variances net to $16,000 favorable minus $28,000 unfavorable, which reconciles to the $12,000 unfavorable total.
Direct Labor Variances
The standard hours allowed for 120,000 units are 0.2 hours per unit times 120,000 units, or 24,000 hours, which at the $16.00 standard rate would cost $384,000. BrightPath actually used 26,000 direct labor hours and paid $403,000, putting the actual rate at $403,000 divided by 26,000 hours, or $15.50 per hour. The total direct labor variance is $384,000 minus $403,000, or $19,000 unfavorable.
For direct labor, quantity is called efficiency and price is called rate. The direct labor efficiency variance compares the hours difference to the standard rate: the standard 24,000 hours less the actual 26,000 hours is 2,000 hours unfavorable, times the $16.00 standard rate, for a $32,000 unfavorable efficiency variance, suggesting workers took longer than the 0.2-hour standard allows, perhaps because newer staff had not yet reached full speed on the assembly line. The direct labor rate variance compares the rate difference to the actual hours worked: the standard rate of $16.00 less the actual rate of $15.50 is $0.50 favorable per hour, times the 26,000 actual hours, for a $13,000 favorable rate variance, consistent with BrightPath having brought on lower-cost labor to cover the extra hours. Netting $13,000 favorable against $32,000 unfavorable reconciles to the $19,000 unfavorable total, and shows that hiring cheaper labor did not offset the extra time it took to build each unit.
Variable Manufacturing Overhead Variances
Variable manufacturing overhead is applied using the same direct labor hours as the cost driver, so the standard hours allowed are again 24,000, and at the $2.50 standard rate the standard overhead allowed is $60,000. Actual variable overhead incurred was $70,200 for the 26,000 hours actually worked, putting the actual rate at $70,200 divided by 26,000 hours, or $2.70 per hour. The total variable overhead variance is $60,000 minus $70,200, or $10,200 unfavorable.
The variable overhead efficiency variance compares the same 2,000-hour unfavorable difference to the $2.50 standard rate, for a $5,000 unfavorable efficiency variance, driven by the identical labor inefficiency already identified above, since overhead rides on labor hours in this costing structure. The variable overhead rate variance compares the rate difference to the actual hours worked: the standard rate of $2.50 less the actual rate of $2.70 is $0.20 unfavorable per hour, times the 26,000 actual hours, for a $5,200 unfavorable rate variance, which points to overhead costs themselves running above plan, separate from the labor-hours issue. The two components, $5,000 unfavorable plus $5,200 unfavorable, reconcile to the $10,200 unfavorable total.
Reading the Full Variance Report
Laid side by side, BrightPath’s three total variances, $12,000 unfavorable for materials, $19,000 unfavorable for labor, and $10,200 unfavorable for variable overhead, sum to the $41,200 unfavorable total identified at the start. The pattern across the report tells a coherent story: the favorable materials quantity variance and favorable labor rate variance show that BrightPath used less material and cheaper labor than planned, but the unfavorable materials price variance, unfavorable labor efficiency variance, and unfavorable overhead variances outweigh those savings. A manager reading this report would investigate whether the newer, lower-paid workers are the cause of both the labor efficiency shortfall and the linked overhead efficiency shortfall, since training that group could resolve two unfavorable variances at once, while a separate conversation with the strap supplier could address the materials price variance.
Quick Revision Summary
Standard costs set a quantity standard and a price standard for direct material, direct labor, and variable manufacturing overhead, and the total variance for each input splits into a quantity-side variance (called the quantity variance for materials, the efficiency variance for labor and overhead) computed at the standard price, and a price-side variance (called the price variance for materials, the rate variance for labor and overhead) computed at the actual quantity or hours. A variance is favorable when the standard exceeds the actual and unfavorable when the actual exceeds the standard, and every variance, favorable or unfavorable, is a starting point for investigation rather than a final verdict on performance.