The WorldLight Company produces two light fixtures (products 1 and 2) that require both metal frame parts and electrical

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The WorldLight Company produces two light fixtures (products 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, 5 unit of frame parts and 4 units of electrical
components are required. For each unit of product 2, 10 units of
frame parts and 12 units of electrical components are required. The
company has 300 units of frame parts and 500 units of electrical
components. Each unit of product 1 gives a profit of $1, and each
unit of product 2, up to 50 units, gives a profit of $2. Any excess
over 50 units of product 2 brings no profit, so such an excess has
been ruled out. Formulate a linear programming model for this
problem. (Modification of Problem #3.1-8 in page 77-78 from Hillier
& Lieberman’s OR Textbook 9th edition)
a. Formulate a linear programming model for this problem. Be
sure to define decision variables.
b. Use the graphical method to solve this model. What is the
resulting total profit?