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A business that produces color copies is trying to minimize its average cost per copy​ (total...

A business that produces color copies is trying to minimize its average cost per copy​ (total cost divided by the number of​ copies). This average cost in cents is given by

​f(x)equals=0.00000093x^2−0.0146+60​,

where x represents the total number of copies produced.

​(a) Describe the graph of f.

​(b) Find the minimum average cost per copy and the corresponding number of copies made.

Solutions

Expert Solution

a)

x f(x)
0 60
1000 46.33
2000 34.52
3000 24.57
4000 16.48
5000 10.25
6000 5.88
7000 3.37
7849 2.698925
7900 2.7013
8000 2.72
10000 7
20000 140
30000 459
40000 964
50000 1655
-1000 75.53
-2000 92.92
-3000 112.17
-4000 133.28
-5000 156.25
-6000 181.08
-7000 207.77
-7849 231.8897
-7900 233.3813
-8000 236.32
-10000 299
-20000 724
-30000 1335
-40000 2132
-50000 3115

b)

milcah answered 1 year ago
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