Answer:
Step-by-step explanation:
Part A
x-intercepts of the graph represent the value of goods at which profit of of the company is zero → Break even of the company
Maximum value of the graph represents the maximum profit of the company at certain price of the goods.
Part B
Interval in which the function is increasing → x = 0 to x = $3
Profit of the company increases when price of the goods increase from 0 to 3.
Interval in which the function is decreasing → x = $3 to x = $6
Profit of the company decreases when the price of the goods increases from 3 to 6.
Part C
Average rate of change of the function from x = a and x = b,
= [tex]\frac{f(b)-f(a)}{b-a}[/tex]
By applying the same rule,
Average rate of change of the function between x = 1 and x = 3
= [tex]\frac{120-60}{3-1}[/tex]
= [tex]\frac{60}{2}[/tex]
= 30
