Lisa creates two types of jewelry: Type A and Type B. Type A requires 90 minutes of carving and 1 hour of assembly, while Type B requires 45 minutes of carving and 2 hours of assembly. Lisa can sell Type A for $12 and Type B for $55. If Lisa has 1000 hours of curving and 500 hours of assembly time, how many of each type of jewelry should she make to maximize revenue? Keep in mind that the number of Type A jewelry has to be at least twice the number of Type B jewelry. (Possible Answer: $9875) (Suggestion: Convert all hours to minutes to avoid mixing them up.)
Lisa creates two types of jewelry: Type A and Type B. Type A requires 90 minutes of carving and 1 hour of assembly, while Type B requires 45 minutes of carving and 2 hours of assembly. Lisa can sell Type A for $12 and Type B for $55. If Lisa has 1000 hours of curving and 500 hours of assembly time, how many of each type of jewelry should she make to maximize revenue? Keep in mind that the number of Type A jewelry has to be at least twice the number of Type B jewelry. (Possible Answer: $9875) (Suggestion: Convert all hours to minutes to avoid mixing them up.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Could you please solve/explain them in the attached Excel format? That is the way we are learning them.
I really appreciate the help.

Transcribed Image Text:Lisa creates two types of jewelry: Type A and Type B. Type
A requires 90 minutes of carving and 1 hour of assembly,
while Type B requires 45 minutes of carving and 2 hours
of assembly.
Lisa can sell Type A for $12 and Type B for $55. If Lisa has
1000 hours of curving and 500 hours of assembly time,
how many of each type of jewelry should she make to
maximize revenue? Keep in mind that the number of Type
A jewelry has to be at least twice the number of Type B
jewelry.(Possible Answer: $9875)
(Suggestion: Convert all hours to minutes to avoid
mixing them up.)
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Expert Solution

Step 1: Formulating the given problem:
Let, x, and y represent the type A and type B jewelry items.
DATA | Curving time (in min) | Assembly time (in min) | Cost |
Type A | 90 | 60 | 12 |
Type B | 45 | 120 | 55 |
Available time | 1000 | 500 |
Decision variable is
Type A, and
Type B
Objective function is
Max Revenue
Subjected to constraints:
and given that number of type A jewelry is at least twice the number of type B jewelry.
and
Step by step
Solved in 3 steps with 12 images
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