Price-Recovery Component of Change in Operating Income

Assuming that the 2019 relationship between inputs and outputs continued in 2020, the price-recovery component of the change in operating income measures solely the effect of changes in selling price on revenues minus the effect of changes in input prices on costs to produce and sell the 1,150,000 units of CX1 in 2020.

Revenue Effect of Price Recovery

Revenue effect ofprice recovery=(Selling pricein 2020−Selling pricein 2019)×Actual unitsof outputsold in 2020=($22 per unit−$23 per unit)×1,150,000 units=$1,150,000 U

Note that the calculation focuses on revenue changes caused by the decrease in the selling price of CX1 between 2019 ($23) and 2020 ($22).

Cost Effect of Price Recovery

Chipset’s management accountants calculate the cost effects of price recovery separately for variable costs and for fixed costs, just as they did when calculating the cost effect of growth.

Cost effect ofprice recovery forvariable costs=(Input pricein 2020−Input pricein 2019)×Units of inputrequired toproduce 2020output in 2019Cost effect ofprice recovery fordirect materials=($1.50 per sq.cm. − $1.40 sq.cm.)×3,450,000 sq.cm.=$345,000 U

Recall that the direct materials of 3,450,000 square centimeters required to produce 2020 output in 2019 had already been calculated when computing the cost effect of growth (see section Growth Component of Change in Operating Income).

Cost  effect  ofprice recovery  forfixed costs=(Price perunit  ofcapacityin  2020−Price perunit  ofcapacityin  2019)×Actual units of capacity in2019 (because adequatecapacity exists to produce2020  output  in  2019)   

Cost effect of price recovery for fixed costs is as follows:

Conversion costs: ($4.35 per sq.cm. − $4.28 per sq.cm.)×3,750,000 sq.cm.=$262,500 U

Recall that the detailed analyses of capacities were presented when computing the cost effect of growth (see section Growth Component of Change in Operating Income).

In summary, the net decrease in operating income attributable to price recovery equals the following:

A table shows the net decrease in operating income attributable to price recovery

The table depicts the net decrease in operating income attributable to price recovery. The details of the table are as follows:

1. Revenue effect of price recovery: 1,150,000 dollars U

2. Cost effect of price recovery, direct material costs: 345,000 dollars U

3. Cost effect of price recovery, conversion costs: 262,500 dollars

4. Cost effect of price recovery, total costs: 607,500 dollars U

5. Change in operating income due to price recovery: 1,757,500 dollars U

The price-recovery analysis indicates that, even as the prices of its inputs increased, the selling prices of CX1 decreased and Chipset did not pass on input-price increases to its customers.