A company produces three types of shoes, formal, casual, and athletic, at its two factories, Factory I and Factory II. Daily production of each factory for each type of shoe is listed below. Formal Casual Athletic z= Factory 100 100 300 The company must produce at least 6800 pairs of formal shoes, 8300 pairs of casual shoes, and 9300 pairs of athletic shoes. If the cost of operating Factory I is 1600 per day and the cost of operating Factory II is 1900, how many days should each factory operate to complete the order at a minimum cost, and what is the minimum cost? a. Letting z be the first of the variables listed in the problem statement, and y the second, write the objective function. Factory II 100 200 100 b. Graph the feasible region on paper, then list the corner points of the feasible region. (Enter ordered pairs (x, y), separated by commas.) c. Test the corner points to find the optimum value of the objective function: The "winning" corner point is • The optimum value of the objective function is
A company produces three types of shoes, formal, casual, and athletic, at its two factories, Factory I and Factory II. Daily production of each factory for each type of shoe is listed below. Formal Casual Athletic z= Factory 100 100 300 The company must produce at least 6800 pairs of formal shoes, 8300 pairs of casual shoes, and 9300 pairs of athletic shoes. If the cost of operating Factory I is 1600 per day and the cost of operating Factory II is 1900, how many days should each factory operate to complete the order at a minimum cost, and what is the minimum cost? a. Letting z be the first of the variables listed in the problem statement, and y the second, write the objective function. Factory II 100 200 100 b. Graph the feasible region on paper, then list the corner points of the feasible region. (Enter ordered pairs (x, y), separated by commas.) c. Test the corner points to find the optimum value of the objective function: The "winning" corner point is • The optimum value of the objective function 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 company produces three types of shoes, formal, casual, and athletic, at its two factories, Factory I and Factory II. Daily production of each factory for
each type of shoe is listed below.
Formal
Casual
Athletic
z =
Factory
100
100
300
Factory II
100
200
100
The company must produce at least 6800 pairs of formal shoes, 8300 pairs of casual shoes, and 9300 pairs of athletic shoes. If the cost of operating
Factory I is 1600 per day and the cost of operating Factory II is 1900, how many days should each factory operate to complete the order at a minimum
cost, and what is the minimum cost?
a. Letting z be the first of the variables listed in the problem statement, and y the second, write the objective function.
b. Graph the feasible region on paper, then list the corner points of the feasible region.
(Enter ordered pairs (x, y), separated by commas.)
c. Test the corner points to find the optimum value of the objective function:
• The "winning" corner point is
• The optimum value of the objective function is
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