Maximum and minimum problems when the function is known

(* Ignore this section* - wk 6, 8c Q6) )

Please answer the questions on the attachment below. ( ON PAPER/WRITTEN ) ( Please keep solving and explanation seperate)

(Format

Given:

Working out:

Answer:)

6 The number of people, P, visiting a certain beach on a particular day in January depends on the number of hours, x, that the temperature is below 30 C according to the rule P = x' - 12x- + 21x + 105 where x 2 0. Find the value of x for the maximum and minimum number of people who visit the beach. 7 The ita N