A toy manufacturer is able to sell $20,000$ toys at $$10$ per unit. The company$$s fixed cost is $$50,000.$ The variable cost is $$5$ per unit.

They raise the price to $$15$ and demand drops to $16,000.$

f$.$ Calculate the price elasticity.

g$.$ What is the new markup $($profit margin $\%)$ on the sales price $($$$15)?$

h$.$ What is the new mark up $($profit margin $\%)$ on total cost?

i$.$ Calculate the total profit for the company; Calculate the profit for each toy sold.

k$.$ Are they better off raising the price? Explain