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Seablue makes denim jeans. The cost model for making \( x \) pairs per day is \( C(x) = 7000 + 6x + 12x^{0.7} \) dollars.

How much does it cost Seablue if no jeans were made on a given day?

Answer :

Final answer:

Seablue will pay 7000 dollars on a day when no jeans are made, as this is the fixed cost in their cost model equation.

Explanation:

The question asks how much it would cost Seablue if no jeans were made on a given day. To answer this, we need to calculate the cost for making x pairs of jeans when x is zero.

The cost model given is C(x)=7000+6x+12x⁰.⁷ dollars. If no jeans are made, which means x=0, we substitute 0 for x in the cost model equation.

So, the cost when no jeans are made is C(0)=7000+6(0)+12(0)⁰.⁷ = 7000 dollars. Therefore, it costs Seablue 7000 dollars if no jeans were produced on a given day, which represents the fixed costs of the company.

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