Do Homework-Luke Covert-Google Chrome Secure https:/www.mathol.com/Student 11012

Question

Do Homework-Luke Covert-Google Chrome Secure https:/www.mathol.com/Student 11012-005 F17 Intuitive Calculus Luke Covert 11 71:32 Homework: HW 5.2a Middling antiderivatives core: 0 of 1 pt 70f 8 (7 complete) HW Score: 75%, 6 Bus Econ 5.2.77 Question Help The marginal pnice for a weekly demand of x botties of shampoo in a drugstore is given by the function shown below Frd the price demand equation if tho wooky demand is 150 when the price of a bottle of shampoo is $2 What is the weekly demand when the price is $7 502 -9,000 (3x* Find the price-demand equation (Type an equation) Enter your answer in the answer box and then click Check Answer Cler A

Explanation / Answer

Solution:

(i)

p'(x) = -9000 / (3x+50)²

p(x) = p'(x) dx
p(x) = -9000 / (3x+50)² dx
p(x) = -9000 (3x+50)²
p(x) = (-9000) (3x + 50)¹ / 3 + C
p(x) = 3000/(3x + 50) + C

p = $2

when x = 150
2 = 3000/(3*150 + 50) + C
2 = 6 + C
C = -4

p(x) = 3000/(3x + 50) -4

price-demand equation

p(x) = 3000/(3x + 50) -4

(ii)
p(x) = 3000/(3x + 50) -4
7.50 = 3000/(3x + 50) -4
11.5 (3x + 50) = 3000
34.5x + 575 = 3000
34.5x = 3000-575
x = 70.29  

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.