c$.$ Suppose that market demand is given by $Q=4000-250p.$ What will be th short$-$run market equilibrium and price$-$quantity?

$2.$ Suppose that a firm faces a demand function for its product given by $q(p)=10-p.$ Its cost function is given by $C(q)=4q.$

a$.$ Is this a price taking firm or a price setting firm? Explain.

b$.$ How much will this firm produce and what will be its price?

c$.$ Is there deadweight loss? Explain.

$3.$ There is a monopoly in a market. At the price that monopoly chooses, price elasticity of market demand is $-2.$ What is monopoly's mark$-$up$?$