Question

5. Hope Corporation has the following data: P70 45 Selling price Variable cost per unit Annual credit sales in units Collecti
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Answer #1
Selling price                   70
Variable cost per unit                   45
Contribution                   25
Annual sale            50,400
Increase 25%
Incremental sale            12,600
Incremental contribution Incremental sale unit * contribution per unit
Incremental contribution 12600*25
Incremental contribution          315,000
Bad debt= Incremental sale * 4%
Bad debt= (12600*70)*4%
Bad debt=            35,280
Additional collection cost            31,645
Interest cost
Collection period period 30
Collection period proposed 45
Days in year 360
Interest rate 20%
Average investment earlier (Old sale * Cost)*Collection period/days in the year
Average investment earlier =(50400*45)*30/360
Average investment earlier          189,000
Average investment proposed (New sale * Cost)*Collection period/days in the year
Average investment proposed =(50400+12600)*45)*45/360
Average investment proposed          354,375
Interest cost =(354375-189000)*20%
Interest cost            33,075
Computation of final gain or loss
Additional contribution          315,000
Less: additional collection cost           (31,645)
Less: bad debt cost           (35,280)
Less: the additional interest cost           (33,075)
Additional benefit          215,000
hence option A is correct

Solution 2

Economic Order Quantity =(2*Annual Demand*Cost of placing 1 order/Cost of handing per unit per year)^(1/2)
Annual Demand 24000
Cost of placing 1 order $     38.40
Storage cost $     11.52
Solution to 1
Putting all these factors in EOQ formula =(2*24000*38.4/11.52)^(1/2)
Economic Order quantity            400
Solution to 2
Total No of orders =24000/400              60
So a total of 60 orders will be placed
Solution to 3
Average Inventory =400/2            200
Solution to 4
Annual ordering cost Total no of orders * order cost per unit
=60*38.4 $2,304.00
Annual holding cost EOQ*Annual holding cost/2
=400*11.52/2 $2,304.00
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