Problem

A company's daily profit from the production and sale of electrical components can be described by the equation P(x)=6.40x2.435 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

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Answer

So, the company must manufacture and sell more than 1220 units to achieve a daily profit of more than $7805.

Steps

Step 1 :The company's daily profit from the production and sale of electrical components can be described by the equation P(x)=6.40x2.435 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 6.40x2.435>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 1220 units to achieve a daily profit of more than $7805.

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