Can you help with the following exercises based on the linear programing and simplex method? Please, see instruction in the image. Thank you.
Linear Programming In this task you will solve maximization or minimization problems using the principles of linear programming. You will interpret the feasible region of a linear programming and apply the simplex method to solve problems. Be sure to include correct mathematical procedures and provide clear and complete explanations and interpretations. In the case that the result is decimal, you will round it to two decimal places. 1. Use the principles of linear programming to maximize or minimize and interpret the following situation. Maximize: z = 3x + 4y Subject to: 2x + 4y s 24 3x + 3y s 21 4x + 2y = 20 x, y 20 2. Use the principles of linear programming to maximize or minimize and interpret the following situation. Minimize: z = 3x + 8y Subject to: x ty > 10 x + 2y > 15 723 x, y 20 3. Linda makes bracelets and necklaces to sell at a craft store. Each bracelet earns $ 7, takes 1 hour to assemble, and costs $ 2 for materials. Each necklace makes a profit of $ 12, takes 2 hours to assemble, and costs $ 3 for materials. Linda has 48 hours available to put together bracelets and necklaces. If you have $ 78 available to pay for supplies, use linear programming principles to determine how many bracelets and necklaces to make to maximize your earnings 4. Lula runs a soccer club and must decide how many members to send to soccer camp. It costs $ 75 for each advanced player and $ 50 for each intermediate player. You cannot spend more than $ 13,250. Lula must send at least 60 more advanced than intermediate players and a minimum of 80 advanced players. Use linear programming principles to find the number of each type of player that Lula can send to camp to maximize the number of players in camp. 5. A company produces two models of calculators at two different plants. In one day, plant A can produce 140 of model 1 and 35 of model 2. In one day, plant B can produce 60 of model 1 and 90 of model 2. Suppose the company needs to produce at least 460 of model 1 and 340 for Model 2 and it costs $ 1200 per day to operate Plant A and $ 900 per day for Plant B. Use the principles of linear programming to find the minimum cost