A company's daily profit from the production and sale of electrical components can be described by the equation $P(x)=6.40 x-2.435$ dollars, where $x$ is the number of units produced and sold. What level of production and sales will give a dally profit of more than $\$ 7,805$ ?
The company must manufacture and sell more than units
Answer
So, the company must manufacture and sell more than \(\boxed{1220}\) units to achieve a daily profit of more than \$7805.
Step 1 ：The company's daily profit from the production and sale of electrical components can be described by the equation \(P(x)=6.40 x-2.435\) dollars, where \(x\) is the number of units produced and sold. We need to find the level of production and sales that will give a daily profit of more than \$7805.
Step 2 ：We can do this by setting up the inequality \(6.40x - 2.435 > 7805\) and solving for \(x\).
Step 3 ：The solution to the inequality is \(x > 1219.91171875000\). However, since the number of units produced and sold cannot be a fraction, we need to round this number up to the nearest whole number.
Step 4 ：So, the company must manufacture and sell more than \(\boxed{1220}\) units to achieve a daily profit of more than \$7805.
