b) Sasraku Ltd manufactures and sells standard quality fuel pumps. Other companies integrate these pumps in their production of petrol engines. At present, Sasraku Ltd manufactures only three different types of fuel pumps: oil pump, gas pump, and diesel pump. Simon, the Management Accountant, allocates fixed overheads to these pumps on an absorption costing system.

The standard selling price, volumes, and cost data for these three products for the last period are as follows:

The total fixed production overhead for the last period was estimated in the budget to be GH¢526,500. This was absorbed on a machine-hour basis.

The Board of Directors has decided to calculate the variances for the period to analyze the sales performance of the company.

The following information of actual volumes and selling prices for the three products in the last period was obtained:

Required:

i) Calculate the standard profit per unit.
(3 marks)

ii) Calculate the following variances for overall sales for the last period:
Sales profit margin variance
Sales mix profit variance
Sales quantity profit variance
Sales volume profit variance
(8 marks)

iii) Prepare a statement showing the reconciliation of budgeted profit for the period to actual sales less standard cost
(4 marks)

i) Calculation of standard profit per unit

Working
W1 calculation of overhead absorption rate Budget machine hours = (10,000*1.95) + (13,000*3.90) + (9,000*5.20) =117,000 hours As company follows absorption costing method, fixed overheads are allocated don
machine hours’ basis. Overhead adsorption rate = GH¢526,500/117,000 hours = GH¢4.50 per machine hour.
(3 marks evenly spread using ticks)

ii)

  • Actual sales quantity at actual profit margin (at actual selling price less
    standard cost)

  • Actual sales quantity at actual mix at standard profit

  • Actual sales quantity at standard mix at standard profit


Alternative approach to actual sales quantity in standard mix t standard profit
= Actual quantity * average standard profit per unit
=31,500 units* GH¢25.1875 per units = GH¢793,403

Sales profit margin variance

(2 marks)

Sales mix profit variance

Alternative solution
Sales profit margin variance

iii)Reconciliation statement

(4 marks evenly spread using ticks)