10. -/10 points the revenue from selling x units of a product is r = 118.84x. the cost of producing x units…

10. -/10 points the revenue from selling x units of a product is r = 118.84x. the cost of producing x units is c = 98x + 760. to obtain a profit, the revenue must be greater than the cost. for what values of x does this product return a profit? x ≥ 49 x ≤ 36 x > 49 x ≥ 36 x > 36

10. -/10 points the revenue from selling x units of a product is r = 118.84x. the cost of producing x units is c = 98x + 760. to obtain a profit, the revenue must be greater than the cost. for what values of x does this product return a profit? x ≥ 49 x ≤ 36 x > 49 x ≥ 36 x > 36

Answer

Explanation:

Step1: Set up profit - condition inequality

We know that profit $P=R - C$, and for a profit, $R>C$. So, $118.84x>98x + 760$.

Step2: Subtract $98x$ from both sides

$118.84x-98x>98x + 760-98x$, which simplifies to $20.84x>760$.

Step3: Solve for $x$

Divide both sides by $20.84$: $x>\frac{760}{20.84}\approx36.47$. Since $x$ represents the number of units and we are looking for values where there is a profit, $x > 36$.

Answer:

$x>36$