A self-employed carpenter earns $60 for the sale of a table, T, and $40 for the sale of a rocking chair, C. It takes 3 hours for him to make a table and 4 hours to manufacture each rocking chair. He is limited to working at most 60 hours per week. The average manufacturing cost to the carpenter is $26 per table and $30 for every rocking chair. He wishes to keep his manufacturing costs to no more than $390 per week. Given these various constraints, he wishes to maximize his revenue, R. a) In each blank box below, select the best answer from the list that helps complete the objective function and its associated constraint inequalities. Please note that the option <= indicates ≤, and the option >= indicates >. R [Select] 4C+ [Select] [Select] C+ [Select] ✓T [Select] C+267 [Select ] T 60 d) What is the maximum revenue? Select] 390 b) Use the geometric approach (with C placed on the x-axis and T on the y-axis) to determine the coordinates of the corner points of the solution region. Then, select the answer from this list: [ Select] c) Which of the corner points you selected in part (b) above maximizes the objective function? Select the answer from this list: [Select]
A self-employed carpenter earns $60 for the sale of a table, T, and $40 for the sale of a rocking chair, C. It takes 3 hours for him to make a table and 4 hours to manufacture each rocking chair. He is limited to working at most 60 hours per week. The average manufacturing cost to the carpenter is $26 per table and $30 for every rocking chair. He wishes to keep his manufacturing costs to no more than $390 per week. Given these various constraints, he wishes to maximize his revenue, R. a) In each blank box below, select the best answer from the list that helps complete the objective function and its associated constraint inequalities. Please note that the option <= indicates ≤, and the option >= indicates >. R [Select] 4C+ [Select] [Select] C+ [Select] ✓T [Select] C+267 [Select ] T 60 d) What is the maximum revenue? Select] 390 b) Use the geometric approach (with C placed on the x-axis and T on the y-axis) to determine the coordinates of the corner points of the solution region. Then, select the answer from this list: [ Select] c) Which of the corner points you selected in part (b) above maximizes the objective function? Select the answer from this list: [Select]
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
![A self-employed carpenter earns $60 for the sale of a table, T, and $40 for the sale of a rocking
chair, C. It takes 3 hours for him to make a table and 4 hours to manufacture each rocking
chair. He is limited to working at most 60 hours per week. The average manufacturing cost to the
carpenter is $26 per table and $30 for every rocking chair. He wishes to keep his
manufacturing costs to no more than $390 per week. Given these various constraints, he wishes
to maximize his revenue, R.
a) In each blank box below, select the best answer from the list that helps complete the objective
function and its associated constraint inequalities. Please note that the option <= indicates ≤,
and the option >= indicates >.
R=[Select ]
4C+ [Select ]
[Select]
✓C+ [Select ]
[Select]
T [Select]
C
C+26T [Select]
✓ T
60
b) Use the geometric approach (with C placed on the x-axis and T on the y-axis) to determine
the coordinates of the corner points of the solution region. Then, select the answer from this list:
d) What is the maximum revenue? [Select]
390
c) Which of the corner points you selected in part (b) above maximizes the objective function?
Select the answer from this list: [Select]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffa413bcf-f4d4-4563-8c5c-bfbbe2a7d62c%2F5a5932f7-125f-4eea-8dfb-f44598d3d829%2F84qqlpx_processed.png&w=3840&q=75)
Transcribed Image Text:A self-employed carpenter earns $60 for the sale of a table, T, and $40 for the sale of a rocking
chair, C. It takes 3 hours for him to make a table and 4 hours to manufacture each rocking
chair. He is limited to working at most 60 hours per week. The average manufacturing cost to the
carpenter is $26 per table and $30 for every rocking chair. He wishes to keep his
manufacturing costs to no more than $390 per week. Given these various constraints, he wishes
to maximize his revenue, R.
a) In each blank box below, select the best answer from the list that helps complete the objective
function and its associated constraint inequalities. Please note that the option <= indicates ≤,
and the option >= indicates >.
R=[Select ]
4C+ [Select ]
[Select]
✓C+ [Select ]
[Select]
T [Select]
C
C+26T [Select]
✓ T
60
b) Use the geometric approach (with C placed on the x-axis and T on the y-axis) to determine
the coordinates of the corner points of the solution region. Then, select the answer from this list:
d) What is the maximum revenue? [Select]
390
c) Which of the corner points you selected in part (b) above maximizes the objective function?
Select the answer from this list: [Select]
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