Question

a companys daily profit from the production and sale of electrical components can be described by the equation ( p(x) = 6.85x - 2,802 ) dollars, where ( x ) is the number of units produced and sold. what level of production and sales will give a daily profit of more than $9,528? the company must manufacture and sell more than ( square ) units.

Explanation:

Step1: Set up the inequality

We want \(P(x)>9528\), so \(6.85x - 2802>9528\).

Step2: Solve the inequality for \(x\)

Add \(2802\) to both sides: \(6.85x>9528 + 2802\).
\(6.85x>12330\).
Divide both sides by \(6.85\): \(x>\frac{12330}{6.85}\).
\(x > 1800\).

Answer:

\(1800\)