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An analysis of contribution-margin budget variance, contribution-margin variance, contribution-margin sales-volume variance, and contribution-margin sales-mix variance using examples for products rm-67 and jr-63. The analysis is based on the data presented in the document and aims to help readers understand the concepts of flexible budgets and variance analysis.
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17.59 (45 min) Sales variance analysis (1) Contribution-margin budget variance: Contributibudget var on - iancemargin ==== Sumofcontributifor eachon product-marginvariances
contributifor productonmargini Budgetedtotal contributifor productonmargini Actualtotal budget varfor productiancei Contribution-margin
Applying the formula yields the following results. RM-67 contribution-margin budget variance = $5,880,000−−−−$6,000,000 = $ 120,000 U JR-63 contribution-margin budget variance = $4,760,000−−−−$3,600,000 = 1,160,000 F Contribution-margin budget variance ............................................$1,040,000 F (2) Contribution-margin variance: Contributivarianceon - margin ==== Sumofcontributifor eachonproduct-marginvariances
salesfor productvolume i Actual contributifor producton margini Budgetedunit contributi for productonmargini Actualunit forvarianceproducti
Contribution - margin ××××
==== ^ −−−−
In this case, the formula yields the following results. RM-67 contribution-margin variance = ($1,050−−−−$1,000) ×××× 5,600 = $280,000 F JR-63 contribution-margin variance = ($1,700−−−−$1,800) ×××× 2,800 = 280,000 U Contribution-margin variance ........................................... $ 0
17.59 (continued) (3) Contribution-margin sales-volume variance:
salesvariance-volume Sumofcontributionfor-margin each productsales-volumevariances Contribution- margin ====
contributifor producton margin i Budgeted salesfor product volumei Budgetedunit salesfor product volumei Actualunit forvarianceproducti
Contributisales - onvolume-margin ××××
==== ^ −−−−
Using the formula, the contribution-margin sales-volume variance is computed as follows: RM-67 contribution-margin sales-volume variance = (5,600−−−−6,000) (^) ×××× $1,000 = $ 400,000 U JR-63 contribution-margin sales-volume variance = (2,800−−−−2,000) ×××× $1,800 = 1,440,000 F Contribution-margin sales-volume variance ........................................... $1,040,000 F (4) Contribution-margin sales-mix variance:
salesvariance-mix Sumofvariancescontributi foroneach-marginproductsales-mix Contribution- margin ====
forsalesall productsvolume
totalActualunit forproportionproducti
Budgetedsales forproportionproducti
Actualsales marginproductfori contributiBudgetedon forvarianceproducti
Contributisaleson - mix-margin ××××
==== ××××^ −−−−
We then have the following calculation: RM-67 contribution-margin sales-mix variance = $1,000 ×××× [(2/3)−−−−.750)] ×××× 8,400 = $ 700,000 U JR-63 contribution-margin sales-mix variance = $1,800Contribution-margin sales-mix variance....................................................... ×××× [(1/3)−−−−.250)] ×××× 8,400 = (^) $1,260,000 560,000 F F