the function c(x) = 600x – 0.3x2 represents total costs for a company to produce a product, where c is the total cost in dollars and x is the number of units sold. what number of units would produce a maximum cost? what is the maximum cost?

1000 number of units would produce maximum cost.

Maximum cost = 300000

Step-by-step explanation:

Given that total costs for a company to produce a product x as C(x) = 600x – 0.3x²

At maximum cost derivative of C(x) is zero.

        C'(x) = 600 – 0.6x = 0

        0.6x = 600

            x = 1000

1000 number of units would produce maximum cost.

Maximum cost = C(1000) = 600 x 1000 – 0.3 x 1000² = 300000

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