Mathematics Homework Solutions

Solve the following linear program by hand using the simplex method: Show all tableau iterations a. What is the optimal solution? b. What is the optimal Value?

Solve the following linear program by hand using the simplex method: Maximize 100 X1 + 120 X2 + 85 X3 Subject To: 3 X1 + X2 + 6 X3 <= 120 5 X1 + 8 X2 + 2 X3 <=160 X1, X2, X3 >= 0 Show all tableau iterations a. What is the optimal solution? b. Wh ...continues

Linear Programming : Simplex Method in Tableau Form

The following problem is something that needs to be put into tableau iterations, but I'm not sure of my answers on it... I'm catching on slowly, but would like to have something to use to check my work... This is a homework problem, but the homework is graded on participation, not correctness in this distance learning class. ...continues

Interpreting LINDO Output in Linear Programming Optimization

Based on the attached file, please anwer: a. Give the complete optimal solution b. What constraints are binding? c. What is the dual price for the second constraint? d. Over what range can the objective function coefficient X2 vary before a new solution point becomes optimal? e. What would happen if the first constra ...continues

Interpreting LINDO output in linear programming optimization

Based on the attached file, please anwer: a. Give the complete optimal solution b. What constraints are binding? c. What would happen if the coefficient of X1 is increased by 6? d. What would happen if the right-hand-side value of constraint 1 decreased by 10? e. Which right-hand-side would you be most intereste ...continues

Linear programming using simplex method in tableau form: a. Show all tableau iterations b. What is the optimal solution? c. What is the optimal Value?

Solve the following linear program by hand using the simplex method: Minimize 3 X1 + 4 X2 + 8 X3 Subject To: 4X1 + 2 X2 >= 12 4 X2 + 8 X3 >= 16 X1, X2, X3 >= 0 a. Show all tableau iterations b. What is the optimal solutio ...continues

Linear Programming with Excel

Acme estimates it costs $1.50 per month for each unit of this appliance carried in inventory (estimated by averaging the beginning and ending inventory levels each month). Currently, Acme has 120 units in inventory on hand for the product. To maintain a level workforce, the company wants to produce at least 400 units per month. ...continues

Maintenance at a major theme park in central Florida

Maintenance at a major theme park in central Florida is an ongoing process that occurs 24 hours a day. Because it is a long drive from most residential areas to the park, employees do not like to work shifts of fewer than eight hours. These 8-hour shifts start every four hours throughout the day. The number of maintenance worker ...continues

Staffing optimization can offer significant cost savings to your company

Have you ever run a company? Do you know that companies face staffing schedule optimization problems everyday? The following problem relates to a conventional staffing optimization problem. You will find that when you know about optimization, your company could identify significant cost-savings strategies. In this example, you'l ...continues

Linear Programming : Writing Constraints and Maximizing Profit

The Chop is the manufacturer of the store brand of hatchets and axes sold by various home hardware supply stores. Each item consists of a hickory handle produced in the local processing facility and a steel blade forged and polished in the local machine shop. These two items are then transported to an assembly area where the b ...continues

Linear programming

Find the complete optimal solution to this linear programming problem. Min 3X + 3Y s.t. 12X + 4Y > 48 10X + 5Y > 50 4X + 8Y > 32 X , Y > 0

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