Maximize the objective function P = 3x + 5y for the given constraints.

x ≥ 0, y ≥ 0, x + y ≤ 5, 3x + 6y ≤ 21

Acable company claims that the average household pays $78 a month for a basic cable plan, but it could differ by as much as $20. write an absolute value inequality to determine the range of basic cable plan costs with this cable company. a. |x − 78| ≥ 20 b. |x − 20| ≥ 78 c. |x − 20| ≤ 78 d. |x − 78| ≤ 20