e following linear optimization model: Maximize z(x1, x2) = 4x1 + 4x2 Subject to

Valencia Products makes automobile radar detectors and assembles two models: LaserStop and SpeedBuster. Both models use the same electronic components. After reviewing the components required and the profit for each model, the firm found the following linear optimization model for profit, where L is the number of LaserStop models produced and S is the number of SpeedBuster models produced. Implement the linear optimization model on a spreadsheet and use Solver to find an optimal solution. Interpret the optimal solution, identify the binding constraints, and verify the values of the slack variables. Maximize Profit = 124 L +137 S 17 L+12 S≤5000 5L+9S≤4500 L≥0 and S≥O (Availability of component A) (Availability of component B) Implement the linear optimization model and find an optimal solution. Interpret the optimal solution. The optimal solution is to produce 0 LaserStop models and SpeedBuster models. This solution gives the maximum possible profit, which is $. (Type integers or…

Consider the following minimum problem: Minimize: C = 2x₁ + 3x₂ Subject to the constraints: x1 + x₂ > 2 2x1 + 3x₂ ≥ 6 x1 ≥ 0 x₂ > 0 Write the dual problem for the above minimum problem by selecting the appropriate number for each blank box shown below (Do not solve the dual problem). Y₁+ [Select] P [Select] = [Select] [Select] Y₁ ≥ 0 Minimum value of C = Value of 1 = Y2 ≥ 0 Value of 2 = Subject to the constraints: 3x1 + x₂ ≥ 6 -4x1 + 2x₂ ≥ 2 x₁ ≥0 X₂ ≥0 Use the simplex method to solve the following minimum problem on your own paper. Then, using your final tableau, enter the answer in each relevant box provided below. Minimize: C = 3x₁ +4x2 Subject to the following constraints: 2x1 + x₂ > 2 2x1 + x₂ ≥ 6 x₁ ≥ 0 ; x₂ > 0 x1 = Y₁+ X2 = Yı+ C = [Select] [Select] Use the simplex method and the Duality Principle to solve the following minimum problem: Minimize: C = 2x1 + 2x₂ Y2 Y22 y2 ≤ 3 and using your final tableau answer the questions below by entering the correct answer in each blank box.…

Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p = 130-0.75x. It also determines that the total cost of producing x suits is given by C(x)=3000+ 0,5x² a) Find the total revenue, R(x). b) Find the total profit, P(x). c) How many suits must the company produce and sell in order to maximize profit? d) What is the maximum profit? e) What price per suit must be charged in order to maximize profit?