In Exercises 1–6, the initial tableau of a linear programming problem is given. Use the simplex method to solve each problem.
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Finite Mathematics and Calculus with Applications (10th Edition)
- Explain important characteristics of situations to which linear programming method can be successfully applied. Assume a suitable example A firm manufactures three products A, B, and Time to manufacture product A is twice that for B and thrice that for C and if the entire labour is engaged in making product A, 1,600 units of this product can be produced. These products are to be produced in the ratio 3:4:5. There is demand for at least 300, 250 and 200 units of products A, B and C and the profit earned per unit is sh. 90, sh. 40 and sh. 30 respectively. Table Raw material Requirement per unit of product (kg) Total availability (kg) A B C P 6 5 2 5,000 Q 4 7 3 6,000 Formulate the problem as a linear programming problem.arrow_forwardconstruct the initial simplex tableau for the linear programming as follows: minimize z = 4x1 + 2x2 x1- x2 ≤ 150 -x1+ x2 ≤ 150 x1 +x2 ≥ 100 x1 +x2 ≤ 350 x1 + x2 ≥ 200 x1,x2 ≥ 0arrow_forwardSolve the following Linear Programming (LP) models using the graphical method Min z = 7x1 + 4x2 s.t. 2x1 + x₂ ≥ 11 x1 + x₂ ≤ 10 x1 + 4x₂ ≥ 16 x1 + 3x2 ≥ 24 x1, x2 > 0arrow_forward
- Please explainarrow_forwardGive the Steps Involved in graphical method for solving linear programming problem?arrow_forwardSection D 1.) Steamline Bicycles produces two kinds of bikes, mountain bikes and road bikes. It takes 4 hours to build a mountain bike and 3 hours to build a road bike. The company has 21 employees, each with a 40 hour work week. Due to demand, they must produce at least 250 total bikes each week. If they profit $75 on each mountain bike and $60 on each road bike, how many of each type should they produce in a week to maximize their profit? Define the variables x = Write the objective function Constraints:arrow_forward
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