Question

In: Accounting

Toy Story Factory hires six workers to produce toys in the three divisions: “Toddle Toy”, “Girl...

Toy Story Factory hires six workers to produce toys in the three divisions: “Toddle Toy”, “Girl Toy” and “Boy Toy”. The major decision is the allocation of the workers among the three divisions, so as to maximize the amount of toy produced. The following table shows the amount (unit) of toys that will be produced in a division as a function of the number of workers deployed in the corresponding division. For instance, when 2 workers are sent to the Boy Toy division, a total of 66 units of toy will be produced there.

[Number of Workers]  

[Toddle Toy]

[Girl Toy]

[Boy Toy]

1

26

41

49

2

45

49

68

3

60

62

82

4

72

69

91

5

80

74

101

6

85

77

106


If the factory wants to maximize the amount of toy produced, the maximum output will be [Answer] units of toys in total. (Integer, please.)

Solutions

Expert Solution

Toddler Toy
Number of workers 1 2 3 4 5 6
Number of Toys 26 45 60 72 80 85
Number of Toys per worker 26 22.5 20 18 16 14.16667
Girl Toy
Number of workers 1 2 3 4 5 6
Number of Toys 41 49 62 69 74 77
Number of Toys per worker 41 24.5 20.66667 17.25 14.8 12.83333
Boy Toy
Number of workers 1 2 3 4 5 6
Number of Toys 49 68 82 91 101 106
Number of Toys per worker 49 34 27.33333 22.75 20.2 17.66667
No. of toys
2 workers for Boy Toy 68
2workers for Girl Toy 49
2workers for Toddler Toy 45
Total 162
ANSWER:
Maximum Output will be 162

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