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
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Could you please solve/explain them in the attached Excel format? That is the way we are learning them.

I really appreciate the help.

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.)
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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Transcribed Image Text:1 2 3 4 25 26 5 6 7 8 9 10 11 12 13 14 15 MODEL 16 17 18 19 20 21 22 23 24 31 32 33 A 34 35 DATA 36 37 29 27 28 29 CONSTRAINTS 30 LS B DECISION VARIABLES с OBJECTIVE FUNCTION RELATION RS D [Name] E F LL
Expert Solution
Step 1: Formulating the given problem:

Let, x, and y represent the type A and type B jewelry items.

DATACurving time (in min)

Assembly time (in min) 

Cost
Type A906012
Type B4512055
Available time1000500

Decision variable is 

Type A, and 

Type B

Objective function is

Max Revenue R equals 12 x plus 55 y

Subjected to constraints:

90 x plus 45 y less or equal than 1000 space space space space space space space space space space space left parenthesis 1 right parenthesis
60 x plus 120 y less or equal than 500 space space space space space space space space space space space left parenthesis 2 right parenthesis

and given that number of type A jewelry is at least twice the number of type B jewelry.

x greater or equal than 2 y
x minus 2 y greater or equal than 0 space space space space space left parenthesis 3 right parenthesis

and x comma y greater or equal than 0

steps

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