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The function C(x) = 10x + 5,000 represents the cost to produce x number of items. How many items should be produced
so that the average cost is less than $60?

Respuesta :

Answer:

The number of item should be more than to 100.

Step-by-step explanation:

Cost of x items = C(x) = 10x + 5000

Number of items = x

Average cost = [tex]\frac{Total \ cost \ of \ items}{Total \ number \ of \ items}[/tex]

[tex]60>\frac{10x+5000}{x}[/tex]

[tex]60x>10x+5000[/tex]

[tex]50x>5000[/tex]

[tex]x>\frac{5000}{50}[/tex]

[tex]\therefore x>100[/tex]

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