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goblinko [34]
3 years ago
8

The following function represents the production cost f(x), in dollars, for x number of units produced by company 1:

Mathematics
2 answers:
solniwko [45]3 years ago
8 0

Answer:

The answer is confirmed 1.  Just took it.

Step-by-step explanation:

azamat3 years ago
6 0

Answer:

Company 1 is greater.

Step-by-step explanation:

Given,

The function that shows the production cost of company 1,

f(x)=0.15x^2-6x+400

Differentiating with respect to x,

We get,

f'(x)=0.30x-6

Again differentiating,

f''(x)=0.30

For minimum or maximum,

f'(x) = 0,

\implies 0.3x-6=0

\implies x = 20

Since, at x = 20, f''(x) = Positive,

So, f(x) is minimum at x = 20,

⇒ Minimum cost in company 1 is,

f(20)=0.15(20)^2-6(20)+400

=340

Also, by the given table,

The minimum cost of company 2 is at x = 70,

g(70) = 55,

Since, 340 > 55,

Hence, Based on the given information, the minimum production cost for company 1 is greater.

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