The SkyLight Company produces two light fixtures (products 1 and2) that require both metal frame parts and electrical components.Management wants to determine how many units of each product toproduce so as to maximize profit. For each unit of product 1, twounit of frame parts and two units of electrical components arerequired. For each unit of product 2, three units of frame partsand two unit of electrical components are required. The company has240 units of frame parts and 200 units of electrical components.Each unit of product 1 gives a profit of $1, and each unit ofproduct 2 gives a profit of $3. No more than 60 units of product 2should be produced.

1. Formulate this linear programming model algebraically.
2. Use the graphical method (by drawing the objective functionline) to solve this model, determine the optimal solution andmaximum profit.
3. Write down the coordinate of all corner points.
4. How does the optimal solution change if the maximum unit ofproduct 2 is increased to 80 units? Use the graphical method tosolve the new model.
5. Formulate the model in (a) using Excel spreadsheet. Identifythe data cells, the changing cells, and the objective cell.
6. Solve the model using Excel Solver. Write down the optimalsolution, and value of slack variables of each constraint.