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You are thinking of buying a franchise, but competition is fierce so you need to assess whether this will be a worthwhile enterprise. Relevant data are arranged in the spreadsheet provided, comprising net sales for similar franchises in South Africa (27 in total).
You think the following factors influence sales for these franchises:
a. Conduct a multiple regression and determine the statistically significant variables which influence the franchise's annual net sales
b. Using your regression equation, what are forecast annual net sales for a franchise with the following parameters?
Floor size m2
3 000
Inventory (R)
400 000
Advertising (R)
148 117
Competing stores in district
11
# customers/week
120
Sales district size m2/1000 families
12
c. The above franchise expands and increases its floor size to 4 000m^2. All else being equal, what is the new minimum amount that the franchise must spend on advertising to generate the same annual net sales (R3 million) per annum?
Annual net sales (R)
#customers/day
100 000
1 100
104 000
40
26 000
4.2
110 000
500
118 000
199
25 000
8.1
15
180 000
600
209 000
73
40 000
6.3
14
230 000
1 200
183 000
128
13 000
3.8
630 000
78 000
163
35 000
15.1
700 000
154 000
190
16 000
12.5
8
940 000
1 600
79 000
77 000
-1.7
10
1 010 000
800
334 000
136
33 000
11.7
1 520 000
2 200
140 000
41
8.5
1 650 000
2 600
133 000
147
21.2
13
1 920 000
2 500
329 000
76 000
13.8
2 260 000
280 000
169
89 000
17.8
2 970 000
3 100
497 000
2
56 000
9.6
3 390 000
3 500
428 000
162
95 000
14.3
5
3 520 000
3 600
454 000
168
93 000
8.4
6
3 950 000
4 300
339 000
79
55 000
23.0
4
3 970 000
3 800
382 000
103 000
21.4
7
4 020 000
8 600
578 000
189
54 000
14.0
4 250 000
4 200
485 000
53
136 000
16.2
4 390 000
4 400
595 000
196
92 000
16.3
4 630 000
4 700
552 000
3
84 000
14.9
4 860 000
4 800
531 000
185
88 000
20.5
4 960 000
5 300
532 000
167
139 000
15.9
1
5 080 000
5 100
514 000
134 000
29.2
0
5 220 000
5 500
616 000
151 000
26.8
5 230 000
5 600
674 000
143
99 000
22.7
5 670 000
5 400
740 000
42
173 000
22.2
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