Gladys is planning to sell her house, and she is considering making two upgrades to the house before listing it for sale. Replacing the carpeting will cost her $$2,500$ and replacing the roof will cost her $$9,000.$ Gladys expects the new carpeting to increase the value of her house by $$3,200$ and the new roof to increase the value of her house by $$7,500.$

Select one:

a$.$ She should make both improvements to her house

b$.$ She should replace the carpeting but not replace the roof.

c$.$ She should replace the roof but not replace the carpeting.

d$.$ She should not make either improvement to her house.

e$.$ She obviously needs more information before she is able to make a rational decision.