Problem

Answer the following questions for the price-demand equation.
\[
p+0.002 x=50
\]
(A) Express the demand $x$ as a function of the price $p$.
\[
x=
\]

Answer

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Answer

So, the demand \(x\) as a function of the price \(p\) is \(x= \boxed{25000 - 500p}\).

Steps

Step 1 :The given price-demand equation is \(p+0.002x=50\).

Step 2 :We need to express the demand \(x\) as a function of the price \(p\).

Step 3 :To do this, we subtract \(p\) from both sides of the equation to get \(0.002x = 50 - p\).

Step 4 :Then, we divide both sides of the equation by \(0.002\) to isolate \(x\).

Step 5 :This gives us the function \(x = 25000 - 500p\).

Step 6 :So, the demand \(x\) as a function of the price \(p\) is \(x= \boxed{25000 - 500p}\).

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