A toy factory creates miniature steel train engines and box cars. The fabrication department has 3,679 minutes available per week and the assembly and finishing department has 3,099 minutes available per week. Manufacturing one miniature steel train engine requires 8 minutes of fabrication and 5 minutes of assembling and finishing. Manufacturing one miniature steel box car requires 4 minutes of fabrication and 5 minutes of assembling and finishing. The profit on each miniature steel train engine is $8.00 and the profit on each miniature steel box car is $7.25. How many steel train engines and steel box cars should be produced each week to obtain the maximum profit? Find the maximum weekly profit. (Use x for box car and y for train engine.) Maximize P = subject to < 3, 679 < 3, 099 Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes below. If more than one solution exists, enter only one of the multiple solutions below. If needed round toys to 1 decimal place and profit to 2 decimal places. Number of miniature steel box cars to manufacture to maximize profit is Number of miniature steel train engines to manufacture to maximize profit is Maximum profit is $
A toy factory creates miniature steel train engines and box cars. The fabrication department has 3,679 minutes available per week and the assembly and finishing department has 3,099 minutes available per week. Manufacturing one miniature steel train engine requires 8 minutes of fabrication and 5 minutes of assembling and finishing. Manufacturing one miniature steel box car requires 4 minutes of fabrication and 5 minutes of assembling and finishing. The profit on each miniature steel train engine is $8.00 and the profit on each miniature steel box car is $7.25. How many steel train engines and steel box cars should be produced each week to obtain the maximum profit? Find the maximum weekly profit. (Use x for box car and y for train engine.) Maximize P = subject to < 3, 679 < 3, 099 Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes below. If more than one solution exists, enter only one of the multiple solutions below. If needed round toys to 1 decimal place and profit to 2 decimal places. Number of miniature steel box cars to manufacture to maximize profit is Number of miniature steel train engines to manufacture to maximize profit is Maximum profit is $
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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Transcribed Image Text:A toy factory creates miniature steel train engines and box cars. The fabrication department has 3,679
minutes available per week and the assembly and finishing department has 3,099 minutes available per week.
Manufacturing one miniature steel train engine requires 8 minutes of fabrication and 5 minutes of assembling
and finishing. Manufacturing one miniature steel box car requires 4 minutes of fabrication and 5 minutes of
assembling and finishing.
The profit on each miniature steel train engine is $8.00 and the profit on each miniature steel box car is
$7.25. How many steel train engines and steel box cars should be produced each week to obtain the maximum
profit? Find the maximum weekly profit.
(Use x for box car and y for train engine.)
Maximize P
subject to
%3D
< 3, 679
< 3, 099
Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes below. If more
than one solution exists, enter only one of the multiple solutions below. If needed round toys to 1 decimal
place and profit to 2 decimal places.
Number of miniature steel box cars to manufacture to maximize profit is
Number of miniature steel train engines to manufacture to maximize profit is
Maximum profit is $
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