[1] The Pinewood Furniture Company produces chairs and tables from two resources – labor and wood. The company has 80 hours of labor and 36 board-ft. of wood available each day. Demand for chairs is limited to 6 per day. Each chair requires 8 hours of labor and 2 board-ft. of wood, whereas a table requires 10 hours of labor and 6 board-ft. of wood. The profit derived from each chair is $400 and from each table, $100. The company wants to determine the number of chairs and tables to produce each day in order to maximize profit. Solve this model by using linear programming. [5] Ignoring all constraints, what is the total profit for Pinewood Furniture Company if it produces 100 chairs and 200 tables?
[1] The Pinewood Furniture Company produces chairs and tables from two resources – labor and wood. The company has 80 hours of labor and 36 board-ft. of wood available each day. Demand for chairs is limited to 6 per day. Each chair requires 8 hours of labor and 2 board-ft. of wood, whereas a table requires 10 hours of labor and 6 board-ft. of wood. The profit derived from each chair is $400 and from each table, $100. The company wants to determine the number of chairs and tables to produce each day in order to maximize profit. Solve this model by using linear programming. [5] Ignoring all constraints, what is the total profit for Pinewood Furniture Company if it produces 100 chairs and 200 tables?
A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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[1] The Pinewood Furniture Company produces chairs and tables from two resources – labor and wood. The company has 80 hours of labor and 36 board-ft. of wood available each day. Demand for chairs is limited to 6 per day. Each chair requires 8 hours of labor and 2 board-ft. of wood, whereas a table requires 10 hours of labor and 6 board-ft. of wood. The profit derived from each chair is $400 and from each table, $100. The company wants to determine the number of chairs and tables to produce each day in order to maximize profit. Solve this model by using linear programming.
[5] Ignoring all constraints, what is the total profit for Pinewood Furniture Company if it produces 100 chairs and 200 tables?
A. 2,720
B. 1,240
C. 90,000
D. 60,000
[6] (In image)
B. 1,240
C. 90,000
D. 60,000
[6] (In image)
[7] The total number of constraints in this problem, including non-negativity constraints is:
A. 9
B. 5
C. 3
D. 7
B. 5
C. 3
D. 7
![[6] Please carefully read the following scenario:
A publishing house publishes three weekly magazines-Daily Life, Agriculture Today, and
Surf's Up. Publication of one issue of each of the magazines requires the following amounts of
production time and paper:
Daily Life
Agriculture Today
Surf's Up
Production (hr.)
0.01
0.03
0.02
Paper (lb.)
0.2
0.5
0.3
Each week the publisher has available 120 hours of production time and 3,000 pounds of paper.
Total circulation for all three magazines must exceed 5,000 issues per week if the company is to
keep its advertisers. The selling price per issue is $2.25 for Daily Life, $4.00 for Agriculture To-
day, and $1.50 for Surf's Up. Based on past sales, the publisher knows that the maximum
weekly demand for Daily Life is 3,000 issues; for Agriculture Today, 2,000 issues; and for Surf's
Up, 6,000 issues. The production manager wants to know the number of issues of each maga-
zine to produce weekly in order to maximize total sales revenue.
The total number of decision variables in this problem is:
05
3
4
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f31d8ad-9317-4361-945f-4872ad5b6518%2F06ea9ed7-89c8-4d6a-afca-10b65272c4fe%2Fk1g3nd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[6] Please carefully read the following scenario:
A publishing house publishes three weekly magazines-Daily Life, Agriculture Today, and
Surf's Up. Publication of one issue of each of the magazines requires the following amounts of
production time and paper:
Daily Life
Agriculture Today
Surf's Up
Production (hr.)
0.01
0.03
0.02
Paper (lb.)
0.2
0.5
0.3
Each week the publisher has available 120 hours of production time and 3,000 pounds of paper.
Total circulation for all three magazines must exceed 5,000 issues per week if the company is to
keep its advertisers. The selling price per issue is $2.25 for Daily Life, $4.00 for Agriculture To-
day, and $1.50 for Surf's Up. Based on past sales, the publisher knows that the maximum
weekly demand for Daily Life is 3,000 issues; for Agriculture Today, 2,000 issues; and for Surf's
Up, 6,000 issues. The production manager wants to know the number of issues of each maga-
zine to produce weekly in order to maximize total sales revenue.
The total number of decision variables in this problem is:
05
3
4
2
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