Pierce Manufacturing wants to estimate the daily profit $P(x)$, in dollars, from the sale of $x$ lawn chairs. They calculate that the profit from the sale of $118$ lawn chairs is $1298$ dollars, and the marginal profit when $118$ lawn chairs are sold is $15$ dollars per lawn chair.

(a) Estimate the profit from the sale of $119$ lawn chairs.

(b) Estimate the profit from the sale of $122$ lawn chairs.

(c) Estimate the profit from the sale of $117$ lawn chairs.

Hint: