he revenue (in thousands of dollars) from producing units of an item is
nodeled by .
b. Find the marginal revenue at .

Ask by Kelley Pritchard. in the United States

Jan 24,2025

Question

he revenue (in thousands of dollars) from producing $$ x $$ units of an item is nodeled by $$ R(x)=14 x-0.001 x^{2} $$. b. Find the marginal revenue at $$ x=10,000 $$.

UpStudy AI · Accepted Answer

It seems there was an issue with the calculation. Let's try to find the derivative of the revenue function $$ R(x) = 14x - 0.001x^2 $$ with respect to $$ x $$ manually.

The derivative of $$ R(x) $$ with respect to $$ x $$ is given by:
$$ R'(x) = 14 - 0.002x $$

Now, we need to find the marginal revenue at $$ x = 10,000 $$ by substituting $$ x = 10,000 $$ into the derivative $$ R'(x) $$.
Evaluate the expression by following steps:
- step0: Evaluate:
  $$14-0.002x$$
- step1: Substitute:
  $$14-0.002\times 10000$$
- step2: Multiply the numbers:
  $$14-20$$
- step3: Subtract the numbers:
  $$-6$$
The marginal revenue at $$ x = 10,000 $$ is -6.
The marginal revenue at $$ x = 10,000 $$ is -6.

he revenue (in thousands of dollars) from producing units of an item is
nodeled by .
b. Find the marginal revenue at .

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he revenue (in thousands of dollars) from producing units of an item is nodeled by . b. Find the marginal revenue at .