Problem 1
1 ROI ( to the nearest whole %)
a) If the Radio Project is not undertaken
Budgeted Income= $775,000
Operating Assets=$4,825,000
=$775,000/4,825,000 *100 = 16.06% Say 16%
b) Of the Radio Project alone
Budgeted Income= $640,000
Operating Assets=$4,000,000
= $640,000/4,000,000*100 =16%
c)If the Radio Project is undertaken
Budgeted Income= $1,415,000
Operating Assets=$8,825,000
= $1,415,000/ 8,825,000*100 =16.03% Say, 16%
2 Residual Income
Residual Income = Operating Income-( Operating Assets*Minimum Reqd Return )
Minimum Reqd return =15%
a) If the Radio Project is not undertaken
Budgeted Income= $775,000
Operating Assets=$4,825,000
Residual Income =$775,000(4,825,000*15%)
=$775,000-723,750 = $51,250
b) Of the Radio Project alone
Budgeted Income= $640,000
Operating Assets=$4,000,000
Residual Income =$640,000(4,000,000*15%)
=$640,000-600,000 = $40,000
c)If the Radio Project is undertaken
Budgeted Income= $1,415,000
Operating Assets=$8,825,000
Residual Income =$1,415,000(8,825,000*15%)
=$1,415,000-1,323,750 = $91,250
3 Overall Division RoI will be slightly reduced from 16.06% to 16.03% if the new project is undertaken. So if ROI is the basis for evaluation,additional investment can be made still ,since it is more than the minimum required return of 15%. On the other hand, Residual Income for the project is $40,000 and will increase the overall residual income to $91,250 . if the division is evaluated on the basis of Residual income also, the project can be undertaken..
Problem 2
1 Theoretical cycle time in minutes per unit
Maximum units produced in a quarter = 90,000
Hours of Production in a quarter= 20,000
Theoretical cycle time in minutes per unit =20,000*60/90,000
=13.3 minutes
2 Actual Cycle time in minutes per unit
Actual Production 78,000 units
Actual Cycle time in minutes per unit = 20,000*60/78000
=15.4 Minutes
3 Theoretical velocity in units per hour
Maximum production in a quarter 90,000 units
Hours available in a quarter 20,000
Theoretical velocity in units per hour = 90,000/20000
= 4.5 units per hour
4 Actual velocity in units per hour
= 78,000/20,000
= 3.9 units per hour
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