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diminishing returns jesaki inc estimates that it will sell units of product after spending $ thousand on advertising, as given by 0.43x⁴+ 47x³+1,056 x²+158,684. what is the point of diminishing returns? round to the nearest dollar. $

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Final answer:

The point of diminishing returns occurs when the marginal returns start to decrease. To find this point, take the derivative of the equation and set it equal to zero. Solve for x to find the point of diminishing returns.

Step-by-step explanation:

In the given equation 0.43x⁴+ 47x³+1,056 x²+158,684, we need to find the point of diminishing returns. The point of diminishing returns occurs when the marginal returns start to decrease.

The point of diminishing returns occurs when the marginal returns start to decrease. To find this point, take the derivative of the equation and set it equal to zero. Solve for x to find the point of diminishing returns.

In this case, the marginal returns can be found by taking the derivative of the equation. Taking the derivative, we get 1.72x³ + 141x² + 2,112x. Setting this equal to zero and solving for x will give us the point of diminishing returns.

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