TRUE OR FALSE The main objective of linear programming is to maximize profit and minimize cost without violating any limited resources
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TRUE OR FALSE
The main objective of linear programming is to maximize profit and minimize cost without violating any limited resources
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- Linear Programming is a special and versatile technique which can be applied to a variety of management problems viz. True or FallsSolve the following Linear Programming model using the graphical method (USING EXCEL){Write the steps of construction} Q1)MaximizeH = x + 3y Objective functionsubject tox + y ≤ 502x + y ≤ 60 x ≥ 0, y ≥ 0Please note that formulating linear program doesn't need coding but only modelling. It's operational Research problem. Garden House produces three custom flower seed mixes. Garden House is trying to decide how many pounds of each mix to produce for the upcoming planting season. All three mixes require two seed types, the all-star and the purple power. Garden house can obtain at most 25 lbs of all-star and 30 lbs of purple power seeds. Seed requirements, along with the revenue per pound of each, are given in Table 1, All star seeds cost $2/lb, and purple power seeds cost $3/lb. From past history, the company knows that it will be able to sell at most 60 lbs of mix A, but that they will sell as much of mix B and mix C as they produce. Formulate a linear program to help garden house maximize its profits.
- Please answer all parts A Rhino cement company owns two production plants. Plant 1 costs 20977 per day to operate, and it can produce 330 bags of high-grade cement, 475 bags of medium-grade cement , and 508 bags of low-grade cement each day. Plant 2 is newer and more modern. It costs 22570 per day to operate, and it can produce 435 bags of high-grade cement,271 bags of medium-grade cement, and 274 bags of low-grade cement each day. The company has orders totaling 24539 bags of high-grade cement, 25248 bags of medium-grade cement, and 33749 bags of low-grade cement. How many days should it run each plant to minimize its costs and still produce enough cement to meet its orders? What is the value of the first dual variable? What is the value of the second dual variable? What is the value of the third dual variable? What is the value of dual optimal solution z?Fopic 4- Linear Programming: Appli eBook Problem 9-05 (Algorithmic) Kilgore's Deli is a small delicatessen located near a major university. Kilgore's does a large walk-in carry-out lunch business. The deli offers two luncheon chili specials, Wimpy and Dial 911. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes). The profit on one serving of Wimpy is $0.46, on one serving of Dial 911, $0.59. Each serving of Wimpy requires 0.26 pound of beef, 0.26 cup of onions, and 6 ounces of Kilgore's special sauce. Each serving of Dial 911 requires 0.26 pound of beef, 0.41 cup of onions, 3 ounces of Kilgore's special sauce, and 6 ounces of hot sauce. Today, Kilgore has 21 pounds of beef, 16 cups of onions, 89 ounces of Kilgore's special sauce, and 61 ounces of hot sauce on hand. a. Develop a linear programming model that will tell Kilgore how many servings of Wimpy and Dial 911 to make in order to maximize his profit today.…