Answer:
(a) Independent variable: b (number of bags sold)
Dependent variable: p(b) (profit)
(b) 25
(c) 84700
(d) 70
(e) b < 25
Explanation:
(a) Independent variable: b (number of bags sold)
Dependent variable: p(b) (profit)
(b) To break even, set p(b) to zero and solve for b:
⇒ 350b - 8750 = 0
⇒ 350b = 8750
⇒ b = 8750 ÷ 350
⇒ b = 25
(c) Substitute b = 267 into equation and solve for p(b):
⇒ 350(267) - 8750 = 84700
(d) Set p(b) to 15750 and solve for b:
⇒ 350b - 8750 = 15750
⇒ 350b = 15750 + 8750
⇒ 350b = 24500
⇒ b = 24500 ÷ 350
⇒ b = 70
(e) If she breaks even when she sells 25 bags, if she sells less than 25 bags she will have a negative profit. So b < 25