The cross-price elasticity between goods Alpha and Beta is 10 and the price of Alpha goes up by 5 percent. Which of the following must be true?

A: They are substitutes and the price of Beta goes up by 50 percent.

B:They are complements and the price of Beta goes down by 2 percent.

C:They are substitutes and the quantity demanded of Beta goes up by 50 percent.

D:They are complements and the quantity demanded of Beta goes down by 50 percent.

E:They are complements and the demand for Beta goes up by 2 percent.

What would be the result of an increase in the number of producers of the same product?

A: The price of the product would increase.

B:The opportunity cost of producing the product would increase.

C:The output supplied in a market would increase at every price.

D: The output supplied in a market would decrease at every price.

E:The demand for the product would increase.

A government imposes a $10 per-unit tax in a competitive market. Afterward, the seller's after-tax price falls from the original equilibrium price of $20 to $18. Based on this, which of the following is true?

A:Producers are bearing 100% of the tax burden.

B:The next after-tax equilibrium price will be $30.

C:Consumers are bearing 80% of the tax burden.

D:The government will collect less than $10 per unit exchanged of the good.

E:The quantity demanded will decrease by 10%.