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Use the following scenario to complete the remaining exercises below. A firm manufactures four types of tents: small, medium, large, and deluxe. Each small tent takes 2 hours to cut and 4 hours to sew; each medium tent takes 3 hours to cut and 5 hours to sew; each large tent takes 4 hours to cut and 7 hours to sew; each deluxe tent takes 6 hours to cut and 9 hours to sew. There is a total of 310 hours available to cut and 500 hours available to sew the tents. No more than 100 tents are to be made. How many of each type of tent should be made to maximize profit if the profit is $90 on each small tent, $50 on each medium tent, $70 on each large tent, and $80 on each deluxe tent? 8. Define the variables, determine the constraints and the objective function. 9. Add slack variables to each constraint and write the corresponding equation. Also rewrite the objective function in the appropriate form for use in the initial simplex tableau. 10. Set up the initial simplex tableau.

Use the following scenario to complete the remaining exercises below. A firm manufactures four types of tents: small, medium, large, and deluxe. Each small tent takes 2 hours to cut and 4 hours to sew; each medium tent takes 3 hours to cut and 5 hours to sew; each large tent takes 4 hours to cut and 7 hours to sew; each deluxe tent takes 6 hours to cut and 9 hours to sew. There is a total of 310 hours available to cut and 500 hours available to sew the tents. No more than 100 tents are to be made. How many of each type of tent should be made to maximize profit if the profit is $90 on each small tent, $50 on each medium tent, $70 on each large tent, and $80 on each deluxe tent? 8. Define the variables, determine the constraints and the objective function. 9. Add slack variables to each constraint and write the corresponding equation. Also rewrite the objective function in the appropriate form for use in the initial simplex tableau. 10. Set up the initial simplex tableau.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Define the variables, determine the constraints and the objective function.  

Page < of 2 + ZOOM Use the following scenario to complete the remaining exercises below. A firm manufactures four types of tents: small, medium, large, and deluxe. Each small tent takes 2 hours to cut and 4 hours to sew; each medium tent takes 3 hours to cut and 5 hours to sew; each large tent takes 4 hours to cut and 7 hours to sew; each deluxe tent takes 6 hours to cut and 9 hours to sew. There is a total of 310 hours available to cut and 500 hours available to sew the tents. No more than 100 tents are to be made. How many of each type of tent should be made to maximize profit if the profit is $90 on each small tent, $50 on each medium tent, $70 on each large tent, and $80 on each deluxe tent? 8. Define the variables, determine the constraints and the objective function. 9. Add slack variables to each constraint and write the corresponding equation. Also rewrite the objective function in the appropriate form for use in the initial simplex tableau. 10. Set up the initial simplex tableau. --------- ---------
Transcribed Image Text:Page < of 2 + ZOOM Use the following scenario to complete the remaining exercises below. A firm manufactures four types of tents: small, medium, large, and deluxe. Each small tent takes 2 hours to cut and 4 hours to sew; each medium tent takes 3 hours to cut and 5 hours to sew; each large tent takes 4 hours to cut and 7 hours to sew; each deluxe tent takes 6 hours to cut and 9 hours to sew. There is a total of 310 hours available to cut and 500 hours available to sew the tents. No more than 100 tents are to be made. How many of each type of tent should be made to maximize profit if the profit is $90 on each small tent, $50 on each medium tent, $70 on each large tent, and $80 on each deluxe tent? 8. Define the variables, determine the constraints and the objective function. 9. Add slack variables to each constraint and write the corresponding equation. Also rewrite the objective function in the appropriate form for use in the initial simplex tableau. 10. Set up the initial simplex tableau. --------- ---------
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