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Chapter 6 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
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- At the Pizza Dude restaurant, a 12-in. pizza costs 5.40 to make, and the manager wants to make at least 4.80 from the sale of each pizza. If the pizza will be sold by the slice and each pizza is cut into 6 pieces, what is the minimum charge per slice?arrow_forwardA company can sell all it produces of a given output for$2/unit. The output is produced by combining two inputs. Ifq1 units of input 1 and q2 units of input 2 are used, then the company can produce q1/31q2/32 units of the output. If it costs$1 to purchase a unit of input 1 and $1.50 to purchase a unitof input 2, then how can the company maximize its profit?arrow_forwardQ2. Use cutting plane method to solve the integer programming problem Maximize 2x, + 3x2 -x1 +x25 5, X1 +3x2 < 35, X1 +x2 S 20, X1, X2 are non-negative integers. Subject toarrow_forward
- 4- Write just the first table of Big-M method for the following problem Max Z = 2X1 + X2 s.t. -3X1 + X222 2X1 X₂ ≤3 - 5X1 - 2X2 = 1 X₁ ≥ 0, X₂ ≥0arrow_forwardSolve the following Integer Programming problem Maximize z = 2x1 + 3x2 subject to 5x1 + 7x2 \leq35 4x1 + 9x2 \leq36 x1, x2 \geq 0 and integerarrow_forwardMaximize z = 10x₁ + 55x2 + 50x3, subject to 4x₂ + 9x3 ≤ 122 13x2 + 22x3 S 142 6x215x3 S 245 ≥ 0, X3 2 0. X3 $1 16x1 X1 - 8X₁ + 5X1+ x1 ≥ 0, X₂ X2 $2 $3 Narrow_forward
- Solve the following LP by using Excel. State the Optimal Solution and the Objective Function Value. Maximize profit = 6X + 5Y Subject to: 4X + 2Y ≤ 40 3X + 5Y ≤ 30 X ≤ 7 2X – Y ≥ 4 X, Y ≥ 0arrow_forwardConsider the following problem: maximize P xy subject to y = 3 – x² and I>-1. What is the solution of this problem? In other words, find the values of x and y that solve this optimization problem. Show all your work! You can either use the space below to type your answer or upload a photo of your answer.arrow_forwardb) Solve the following LP problem using graphical method. Max z = 3x₁ + 4x₂ Subject to 2x₁ + x₂ ≤ 10 x₁ + 3x₂ ≤ 12 X1, X₂ ≥ 0arrow_forward
- please answerarrow_forward2. I will now present three versions of the same problem. They are presented to help you think about the problem and how it might be applied to a middle school classroom. The actual problem I want you to solve is found below. Middle school version of the problem: You are cutting a pizza using straight cuts. After 6 cuts, how many pieces can the pizza be divided into? Mathematical version of the problem: What is the maximum number of regions into which 6 lines can divide a plane? Scaffolded version of the problem: A line divides the plane into two pieces (regions). Draw another line. The plane is now divided into three or four regions. It is three regions if the lines are parallel and four if they intersect. In this problem, we want the greatest number of regions. So, two lines yield four regions. A third line divides the plane into seven regions (See the diagram). The results so far: lines regions 7 2 3 1 6 S 1 2 2 4 3 7 Into how many regions would 4 lines divide the plane? Into how…arrow_forwardSolve the following Integer Programming problem by Branch and Bound Maximization method. Minimize: –22x – 20y Subject to 56x + 15y – 759 x, y 2 0 and integersarrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
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