Problem definition: Beaver Creek Maximization problem Product mix problem - Beaver Creek Pottery Company: How many bowls and mugs should be produced to maximize profits given labor and materials constraints? Product resource requirements and unit profit. Product Bowl Mug Resource Requirements Constraints: Non-Negativity Constraints: Labor (hr/unit) 1 2 Resource Availability: Decision Variables number of mugs to produce per day Objective Function: Resource Clay (lb/unit) 4 3 40 hrs of labor per day 120 lbs of clay x₁ = number of bowls to produce per day Maximize Z = $40x, + $50x₂ Where Z-profit per day 1x, + 2x, ≤ 40 hours of labor Profit ($/unit) 40 50 4x₁ + 3x₂ ≤ 120 pounds of clay x₁ ≥ 0; x ≥ 0 X₂=
Problem definition: Beaver Creek Maximization problem Product mix problem - Beaver Creek Pottery Company: How many bowls and mugs should be produced to maximize profits given labor and materials constraints? Product resource requirements and unit profit. Product Bowl Mug Resource Requirements Constraints: Non-Negativity Constraints: Labor (hr/unit) 1 2 Resource Availability: Decision Variables number of mugs to produce per day Objective Function: Resource Clay (lb/unit) 4 3 40 hrs of labor per day 120 lbs of clay x₁ = number of bowls to produce per day Maximize Z = $40x, + $50x₂ Where Z-profit per day 1x, + 2x, ≤ 40 hours of labor Profit ($/unit) 40 50 4x₁ + 3x₂ ≤ 120 pounds of clay x₁ ≥ 0; x ≥ 0 X₂=
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:16.
Use Linear programming for following study by drawing graph.
Problem definition: Beaver Creek Maximization problem
Product mix problem - Beaver Creek Pottery Company: How many bowls and mugs should
be produced to maximize profits given labor and materials constraints?
Product resource requirements and unit profit:
Resource Requirements
Clay
(Ib/unit)
Labor
Profit
Product
(hr/unit)
($/unit)
Bowl
1.
40
Mug
2
3
50
40 hrs of labor per day
120 Ibs of clay
Resource
Availability:
Decision Variables x; = number of bowls to produce per day
number of mugs to produce per day
Objective
Maximize Z = $40x, + $50x,
Where z = profit per day
1x, + 2x, 5 40 hours of labor
Function:
Resource
4x, + 3x2 s 120 pounds of clay
X; 2 0; X, 20
Constraints:
Non-Negativity
Constraints:
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