A company manufactures cassettes. Its cost and revenue functions are C(x) = 26,000 + 30x and R(x) = 43x, respectively, where x is the number of cassettes produced and sold in a week. How many cassettes must be sold by the company to realize some profit?

x < 2,000

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x > 2,000

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x ≥ 2,000

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x > 1,000

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Solution

The correct option is B
x > 2,000

For making profit, revenue function must be more than cost function.

R(x) > C(x)

43x > 26,000 + 30x

13x > 26,000

x > 2,000.

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A company manufactures cassettes. Its cost and revenue functions are C(x) = 26,000 + 30x and R(x) = 43x, respectively, where x is the number of cassettes produced and sold in a week. How many cassettes must be sold by the company to realize some profit?

The correct option is B x > 2,000 For making profit, revenue function must be more than cost function. R(x) > C(x) 43x > 26,000 + 30x 13x > 26,000 x > 2,000.

The correct option is B
x > 2,000

For making profit, revenue function must be more than cost function.

R(x) > C(x)

43x > 26,000 + 30x

13x > 26,000

x > 2,000.