A toy factory creates miniature steel train engines and box cars. The fabrication department has 5,279 minutes available per week and the assembly and finishing department has 5,999 minutes available per week. Manufacturing one miniature steel train engine requires 12 minutes of fabrication and 10 minutes of assembling and finishing. Manufacturing one miniature steel box car requires 6 minutes of fabrication and 10 minutes of assembling and finishing. The profit on each miniature steel train engine is $9.50 and the profit on each miniature steel box car is $8.25. 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 = ≤5, 279 subject to

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A toy factory creates miniature steel train engines and
box cars. The fabrication department has 5,279 minutes
available per week and the assembly and finishing
department has 5,999 minutes available per week.
Manufacturing one miniature steel train engine requires
12 minutes of fabrication and 10 minutes of assembling
and finishing. Manufacturing one miniature steel box car
requires 6 minutes of fabrication and 10 minutes of
assembling and finishing.
The profit on each miniature steel train engine is $9.50
and the profit on each miniature steel box car is $8.25.
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 =
≤5, 279
5,999
subject to
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.
Maximum profit is
Number of miniature steel box cars to manufacture to
maximize profit is
Number of miniature steel train engines to manufacture
to maximize profit is
Transcribed Image Text:A toy factory creates miniature steel train engines and box cars. The fabrication department has 5,279 minutes available per week and the assembly and finishing department has 5,999 minutes available per week. Manufacturing one miniature steel train engine requires 12 minutes of fabrication and 10 minutes of assembling and finishing. Manufacturing one miniature steel box car requires 6 minutes of fabrication and 10 minutes of assembling and finishing. The profit on each miniature steel train engine is $9.50 and the profit on each miniature steel box car is $8.25. 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 = ≤5, 279 5,999 subject to 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. Maximum profit is Number of miniature steel box cars to manufacture to maximize profit is Number of miniature steel train engines to manufacture to maximize profit is
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