A non-discriminating profit-maximizing monopoly's cost function is c(q)=2+6q. The aggregate demand function from its customers is q=30-3p.Initially, the monopoly does not have to pay any tax.By how much will the price the monopoly charge increase if the monopoly has to pay a quantity tax of $1 per unit produced?

*PLEASE SHOW WORK****

a. None of the other answers.

b. The price will increase by $2.

c. The price will increase by $1.

d. The price will increase by $1.5.

e. The price will increase by $0.5.