The cost in dollars of producing x lamps is C(x) = 300 + 20 squar root of x. The

Question

The cost in dollars of producing x lamps is C(x) = 300 + 20 squar root of x.
The revenue for x lamps is R(x) = 35sqar root of x.
a) Find the average profit per lamp. b) Determine the rate for whcih the average profit is changing when 100 lamps have been produced and sold.
Please show me all the steps! Thanks! The cost in dollars of producing x lamps is C(x) = 300 + 20 squar root of x.
The revenue for x lamps is R(x) = 35sqar root of x.
a) Find the average profit per lamp. b) Determine the rate for whcih the average profit is changing when 100 lamps have been produced and sold.
Please show me all the steps! Thanks!

Explanation / Answer

profit = revenue-cost/cost

35rootx - 300-20rootx/35rootx

=15rootx - 300/35rootx

3/7 - 60/7rootx

for 1 lamp it is:

3/7 - 60/7

=-8.14...Its a loss!!

Rate = d(P)/dx

= -0.5*60/7(x^3/2)

= -4.28*x^(-3/2)

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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