A linear programming problem has objective function P = 3x+2y and the following linear inequality constraints below. How many slack variables are needed for the simplex algorithm? What is the correct way to arrange this equation in order to enter it into a Simplex Tableau?

An investor has $621,000 to invest in bonds.  Bond A yields an average of 8% and the bond B yields 7%.  The investor requires that at least 5 times as much money be invested in bond A as in bond B.  You must invest in these bonds to maximize his return.  This can be set up as a linear programming problem.  Introduce the decision variables: x= dollars invested in bond Ay= dollars invested in bond B Compute x+y. $                       .  Round to the nearest cent.   Investor Matt has $152,000 to invest in bonds.  Bond A yields an average of 9.2% and the bond B yields 8.4%.  Matt requires that at least 4 times as much money be invested in bond A as in bond B.  You must invest in these bonds to maximize his return.  What is the maximum return? $                       per year.  Round to the nearest cent.   Investor Dan has $607,000 to invest in bonds.  Bond A yields an average of 8.5% and the bond B yields 8.4%.  Dan requires that at least 4 times as much money be invested in bond A as in…

Is this constraint linear or able to be included as a constraint in a linear programming problem? 4X1 – (1/3)X2 = 75

Formulate but do not solve the following exercise as a linear programming problem.A division of the Winston Furniture Company manufactures x dining tables and y chairs. Each table requires 40 board feet of wood and 2 labor-hours. Each chair requires 16 board feet of wood and 4 labor-hours. In a certain week, the company has 2800 board feet of wood available and 560 labor-hours.If the profit for each table is $50 and the profit for each chair is $18, how many tables and chairs should Winston manufacture to maximize its profits P in dollars? Maximize      P  =             subject to the constraints board feet             labor-hours                     x ≥ 0         y ≥ 0