
Answers to practice questions
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$ $
Annualcostofordering1,600eachtime
Purchasecosts:10,000×95%×$2 19,000
Holdingcosts:1,600/2
×25%×95%×$2 380
Orderingcosts:10,000/1,600
×$64 400
–––––––
19,780
––––––––
Annualcostofordering5,000eachtime
Purchasecosts:10,000
×90%×$2 18,000
Holdingcosts:5,000/2
×25%×90%×$2 1,125
Orderingcosts:10,000/5,000
×$64 128
–––––––
19,253
––––––––
The higher discount is worthwhile. The order quantity should be 5,000 units.
6 Trade receivables management
Loss of sales based on Year 3 = 25% × $1,188,000 = $297,000
However, the cost of these sales will be avoided.
Gross profit percentage = (1,188,000 – 1,098,360)/1,188,000
= 0.755. Gross profit is 7.55% of sales. It is assumed that the loss from the reduction
in sales will be: 7.55% × $297,000 = $22,424
$
Lossofprofitfromfallinsales (22,424)
Additionalcostofcreditcontrol (20,000)
(42,424)
Reductioninbaddebts30,000
Reductioninprofit,beforesavingsininterest (12,424)
Working capital changes
Reductionininventories$
Rawmaterials (25%×180,000) 45,000
Workinprogress (25%×93,360) 23,340
Finishedgoods (25%×142,875) 35,719
104,059
Reductionintradepayables (25%×126,000)(31,500)
Reductionintradereceivables
Currenttradereceivables 297,000
Receivablesafterthechange=(60/365)
×75%×$1,188,000 146,466
150,534
Reductioninworkingcapital223,093