[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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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
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