3.1-8. The WorldLight Company produces two light fixtures (prod- ucts 1 and 2) 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 1, 1 unit of frame parts and 2 units of electrical compo- nents are required. For each unit of product 2, 3 units of frame parts and 2 units of electrical components are required. The com- pany has 200 units of frame parts and 300 units of electrical com- ponents. Each unit of product 1 gives a profit of $1, and each unit of product 2, up to 60 units, gives a profit of $2. Any excess over 60 units of product 2 brings no profit, so such an excess has been ruled out. (a) Formulate a linear programming model for this problem. p (b) Use the graphical method to solve this model. What is the resulting total profit?

Elements Of Electromagnetics
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3.1-8. The WorldLight Company produces two light fixtures (prod-
ucts 1 and 2) 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 1, 1 unit of frame parts and 2 units of electrical compo-
nents are required. For each unit of product 2, 3 units of frame
parts and 2 units of electrical components are required. The com-
pany has 200 units of frame parts and 300 units of electrical com-
ponents. Each unit of product 1 gives a profit of $1, and each unit
of product 2, up to 60 units, gives a profit of $2. Any excess over
60 units of product 2 brings no profit, so such an excess has been
ruled out.
(a) Formulate a linear programming model for this problem.
D (b) Use the graphical method to solve this model. What is the
resulting total profit?
Transcribed Image Text:3.1-8. The WorldLight Company produces two light fixtures (prod- ucts 1 and 2) 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 1, 1 unit of frame parts and 2 units of electrical compo- nents are required. For each unit of product 2, 3 units of frame parts and 2 units of electrical components are required. The com- pany has 200 units of frame parts and 300 units of electrical com- ponents. Each unit of product 1 gives a profit of $1, and each unit of product 2, up to 60 units, gives a profit of $2. Any excess over 60 units of product 2 brings no profit, so such an excess has been ruled out. (a) Formulate a linear programming model for this problem. D (b) Use the graphical method to solve this model. What is the resulting total profit?
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