You have decided to make and sell friendship bracelets as a hobby. When bracelets are sold for $7 each, you sell 85 bracelets each month. For every $0.50 the price is increased you sell 2 fewer bracelets. It costs you $4 to make each bracelet. (a) Use calculus to determine what price bracelets should be sold at to maximize profit. (b) How much money will you make each month at this price?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
You have decided to make and sell friendship bracelets as a hobby. When bracelets are sold for $7 each, you sell 85
bracelets each month. For every $0.50 the price is increased you sell 2 fewer bracelets. It costs you $4 to make each
bracelet.
(a) Use calculus to determine what price bracelets should be sold at to maximize profit.
(b) How much money will you make each month at this price?
Transcribed Image Text:You have decided to make and sell friendship bracelets as a hobby. When bracelets are sold for $7 each, you sell 85 bracelets each month. For every $0.50 the price is increased you sell 2 fewer bracelets. It costs you $4 to make each bracelet. (a) Use calculus to determine what price bracelets should be sold at to maximize profit. (b) How much money will you make each month at this price?
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,