Problem

The profit made from selling $x$ units of a coffee maker per week in a certain market is given by \[ P=-0.1 x^{2}+22 x-400 \] Part: 0 / 4 Part 1 of 4 (a) Find the profit if the company sells 80 coffee makers in this market. The profit from selling 80 coffee makers is $\$ \square$.

Solution

Step 1 :The profit made from selling $x$ units of a coffee maker per week in a certain market is given by \(P=-0.1 x^{2}+22 x-400\).

Step 2 :To find the profit from selling 80 coffee makers, we need to substitute $x=80$ into the profit function.

Step 3 :After substituting $x=80$ into the profit function, we get \(P=-0.1 (80)^{2}+22 (80)-400\).

Step 4 :Calculating the above expression, we find that \(P=720.0\).

Step 5 :Final Answer: The profit from selling 80 coffee makers is \(\boxed{720}\) dollars.

From Solvely APP
Source: https://solvelyapp.com/problems/18944/

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