Set theory

The system of first order differential equations y₁ = -4y1 - 1y2 y2 = 1y1 - 2y2 where y1(0) = −8, y2(0) = 6 has solution yı(t) = Y2(t) =

Tasks: A company manufactures two electronic products: Chipsets and LCD. Each product contributes differently to the profit. The production process is subject to constraints related to labour, manufacturing space, raw materials, and production time. You are required to determine the optimal production quantities for each product to maximize profit: • Develop and formulate a Linear programming model for the variables and constraints from the above context as given in Table 1 & 2. Assume Right-Hand Side (R.H.S) values for all elements and find the maximum profit and optimal variable values using graphical method (40%). Table I Variables Chipsets Profit Per Unit Assume as per convenience and Model Fit Assume as per convenience and Model Fit dictions: On LCD Table II Constraints Labour Manufacturing Space Raw Materials Production Time Units No of Labors Square Meters Kilograms Minutes Identify the feasible region and construct the graph using the graphical method. Evaluate, present. Find…