Problem $3.$

The demand curve $is{Q}^d=1,000,000-5P^2$

The supply curve $is{Q}^s=2P$

You may use MatLab. $If$ you use MatLab provide your code and a screen

shot $of$ your output.

$a.$ Solve for $P^{*}$ and $Q^{*}.(2pts)$

$b.$ Write down and evaluate a definite integral $to$ calculate consumer surplus

$(2pts)$

$c.$ Write down and evaluate a definite integral $to$ calculate consumer surplus

$(2pts)$