A toy manufacturer makes lightweight balls for indoor play. The large basketball uses 4 ounces of foam and 20 minutes of labor and brings a profit of $2.50. The football uses 3 ounces of foam and 30 minutes of labor and brings a profit of $2. The manufacturer has available 46.5 pounds of foam and 114 labor-hours a week. (a). Define the variables. (b). Write the linear programming problem. (c). Write the initial Simplex Tableau. (d). Identify the first pivot element including ratios. Nothing to enter for this problem.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A toy manufacturer makes lightweight balls for indoor play. The large basketball uses 4 ounces of foam and 20
minutes of labor and brings a profit of $2.50. The football uses 3 ounces of foam and 30 minutes of labor and brings a
profit of $2. The manufacturer has available 46.5 pounds of foam and 114 labor-hours a week.
(a). Define the variables.
(b). Write the linear programming problem.
(c). Write the initial Simplex Tableau.
(d). Identify the first pivot element including ratios.
Nothing to enter for this problem.
Transcribed Image Text:A toy manufacturer makes lightweight balls for indoor play. The large basketball uses 4 ounces of foam and 20 minutes of labor and brings a profit of $2.50. The football uses 3 ounces of foam and 30 minutes of labor and brings a profit of $2. The manufacturer has available 46.5 pounds of foam and 114 labor-hours a week. (a). Define the variables. (b). Write the linear programming problem. (c). Write the initial Simplex Tableau. (d). Identify the first pivot element including ratios. Nothing to enter for this problem.
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