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A machine tool manufacturer is planning an expansion program. Up to 10 workers can be hired and assigned to the five divisions of the company. Since the manufacturer is currently operating with idle machine capacity, no new equipment has to be purchased. Hiring new workers adds $250/day to the indirect costs of the company. On the other hand, new workers add value to the company's output (i.e., sales revenues in excess of direct costs) as indicated in Table. Note that the value added depends upon both the number of workers hired and the division to which they are assigned.
Table: Value added by new workers
New worker (xn)
Increase in contribution to overhead ($/day)
Division 1
Division 2
Division 3
Division 4
Division 5
0
1
30
25
35
32
28
2
55
50
65
60
53
3
78
72
90
88
73
4
97
110
113
91
5
115
108
120
133
109
6
131
124
123
146
127
7
144
135
153
145
8
154
140
158
160
9
150
161
170
10
163
162
172
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