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Rinaldo & Sons buys T-shirts in bulk, applies its own trendsetting silk-screen designs, and then sells the T-shirts to a numb

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Answer #1
2016 2017
T shirts purchase 214240 258000
T shirts discarded 8240 10500
T shirts sold 206000 247500
Average Selling price 33 34
Average Cost price 18 16
Admin Capacity 4800 4550
Admin Cost 1824000 1774500
Admin cost per customer 380 390
The Reference components ("A" to "N") are as follows:
A 4800
B 4550
C 214240
D 258000
E 206000
F 247500
G 18
H 16
I 380
J 390
K 33
L 34
M 257400
N    5,767
M:
(Input required to produce 247500 units of 2017 in 2016 instead of 206000 units actually produced in 2016, Assuming Same Input-Output ratio of 2016)
(C/E)*F
+214240/206000*247500 257400
N:
(Units of Capacity required to produce 247500 units of 2017 in 2016 instead of 206000 units actually produced in 2016, Assuming Same Capacity-Output ratio of 2016)
(A/E)*F
+4800/206000*247500    5,767
Revenues = Actual units of Output sold * Selling price
For 2016 : E * K
For 2017 : F * L
Direct Material = Units of Input used * Input Price
For 2016 : C * G
For 2017 : D * H
Admin cost = Actual Units of capacity * Price per unit of capacity (Data given)
For 2016 : A * I
For 2017 : B * J
Total Costs = Direct material + Admin cost

Operating Income = Revenue - Total costs

Calculation of Operating Income
2016 2017
Revenues 67,98,000 84,15,000
Cost
Direct Material 38,56,320 41,28,000
Admin cost 18,24,000 17,74,500
Total Costs 56,80,320 59,02,500
Operating Income 11,17,680 25,12,500
Change in Operating iNcome 13,94,820
GROWTH
(Actual output 2017 - Actual output 2016) * Selling price 2016 Revenue effect of Growth
(F-E)*K 1369500
(Input units required to produce 2017 output in 2016 - Actual Input units used in 2016) * Input price 2016 Cost effect of Growth for Variable cost
(M-C)*G 776880
(Input Capacity units required to produce 2017 output in 2016 - Actual Input Capacity units in 2016) * Input Capacity price per unit 2016 Cost effect of Growth for Fixed cost
(N-A)*I
Capacity units In 2016 is 4800 and in 2017 is 4550
It can be seen that Adequate capacity existed in 2016 for produsing 2017 output
Thus in Formula, Actual Input capacity will be used instead of Unit Capacity required in 2016
Accordingly,
(Actual Input Capacity units in 2016 - Actual Input Capacity units in 2016) * Input Capacity price per unit 2016 Cost effect of Growth for Fixed cost
(A-A)*I 0
Revenue effect of Growth 1369500
Cost effect of Growth -776880
Change in Operating Income due to Growth 592620
PRICE RECOVERY
(Selling price 2017 - Selling price 2016) * Actual output 2017 Revenue effect of Growth
(L-K)*F 247500
(Input price 2017 - Input price 2016) * Input units required to produce 2017 output Cost effect of Growth for Variable cost
(H-G)*M -514800
(Price per unit capacity 2017 - Price per unit capacity 2016 ) * Actual unit capacity 2016 Cost effect of Growth for Fixed cost
(J-I)*A 48000
Revenue effect of Growth 247500
Cost effect of Growth (V) 514800
Cost effect of Growth (F) -48000
Change in Operating Income due to Price Recovery 714300
PRODUCTIVITY
(Actual input units 2017 - Units required to produce 2017 output in 2016) * Input price 2017 Cost effect of Growth for Variable cost
(D-M)*H 9600
Actual input capacity 2017 - Actual input capacity 2016) * Input capacity price per unit 2017 Cost effect of Growth for Fixed cost
(B-A)*J -97500
Change in Operating Income due to Productivity 87900
Change due to:
Growth                                                         5,92,620
Price Recovery                                                         7,14,300
Productivity                                                            87,900
Total                                                      13,94,820
Change in Operating Income                                                       13,94,820

Requirement 3:

significant INCREASE in operating income

due to PRODUCT DIFFERENTIATION STRATEGY

continue to CHARGE PREMIUM PRICE while growing sales

earn ADDITIONAL OPERATING INCOME BY IMPROVING PRODUCTIVITY

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