Final answer:
No, it would not be a firm offer.
Step-by-step explanation:
No, it would not be a firm offer.
A firm offer is an offer that is definite, made in writing, signed by the offeror, and shows the offeror's intention to be bound by its terms.
In this case, the beauty salon hair designer's statement about the price being good for 30 days, while written and signed, does not show clear intention to be bound by its terms, as it is conditional upon the customer's loyalty and does not specify any specific terms or conditions.