$2/0\mathrm{.}45$ Points$]$

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The demand function for a product is given below.

$x=4xpx=$

$p=$$$xp=40-5x,0$

$(a)$ Find the price elasticity $$ demand when $x=4.$

$(b)$ Find the values $ofx$ and $p$ that maximize the total revenue.

$x=$

$p=$$

$(c)$ For the value $ofx$ found $in$ part $(b),$ find the price elasticity $of$ demand.

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