a) The WorldLight company produces two light fixtures (product A and Product B) that require both metal frame parts and electrical components. Management wants to determine how many units of each product to produce so as to maximize profit. For each unit of product A, 1 unit of frame parts and 2 unit of electrical components are required. For each unit of product B, 3 unit of frame parts and 2 unit of electrical components are required. The company has 200 units of frame parts and 300 units of electrical components. Each unit of product A gives a profit of 1 dollars, and each unit of product B up to 60 units, gives a profit of 2 dollars. any excess over 60 units of product B brings no profit, so such an excess has been ruled out. Formulate a linear programming model for this problem. b) Consider the following linear programming problem. Minimize Z = 8rı + 5x2 subject to -321 + 2x2 < 30 2x1 + x2 2 50 I1 + 12 2 30 and r1 20, r2 2 0. Solve this problem graphically.

a) The WorldLight company produces two light fixtures (product A and Product B) that require both metal frame parts and electrical components. Management wants to determine how many units of each product to produce so as to maximize profit. For each unit of product A, 1 unit of frame parts and 2 unit of electrical components are required. For each unit of product B, 3 unit of frame parts and 2 unit of electrical components are required. The company has 200 units of frame parts and 300 units of electrical components. Each unit of product A gives a profit of 1 dollars, and each unit of product B up to 60 units, gives a profit of 2 dollars. any excess over 60 units of product B brings no profit, so such an excess has been ruled out. Formulate a linear programming model for this problem. b) Consider the following linear programming problem. Minimize Z = 8rı + 5x2 subject to -321 + 2x2 < 30 2x1 + x2 2 50 I1 + 12 2 30 and r1 20, r2 2 0. Solve this problem graphically.

Name: (a) The WorldLight company produces two light fixtures (product A and
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Description: (a) The WorldLight company produces two light fixtures (product A and Product B) that require both metal frameparts and electrical components. Management wants to determine how many units of each product to produceso as to maximize profit. For each

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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Question

(a) The WorldLight company produces two light fixtures (product A and Product B) that require both metal frame
parts and electrical components. Management wants to determine how many units of each product to produce
so as to maximize profit. For each unit of product A, 1 unit of frame parts and 2 unit of electrical components
are required. For each unit of product B, 3 unit of frame parts and 2 unit of electrical components are required.
The company has 200 units of frame parts and 300 units of electrical components. Each unit of product A gives
a profit of 1 dollars, and each unit of product B up to 60 units, gives a profit of 2 dollars. any excess over 60
units of product B brings no profit, so such an excess has been ruled out. Formulate a linear programming model
for this problem.
(b) Consider the following linear programming problem.
Minimize Z = 8rı + 5a2
subject to
-3.r1 + 2r2 < 30
2x1 + 12 2 50
Iị + 12 2 30
and 21 20, x2 2 0.
Solve this problem graphically.

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