Consider the following all-integer linear program:Max5x1 + 8x2s.t.5x1 + 5x2 s 329x1 + 3x2 s 38X1 + 2x2 S 12X1, x2 2 0 and integer b. Find the optimal solution to the LP Relaxation, If required, round your answers to two decimal places,X2Optimal Solution to the LP RelaxationRound down to find a feasible integer solution. If your answer is zero enter "0".X2Feasible integer solutionc. Find the optimal integer solution. If your answer is zero enter "0".Optimal Integer Solution

After converting in equations into equation draw graph and find out feasible solution . Then check z…

Answered: Consider the following all-integer…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Solve the system C1 x2 x3 C4, = 3000 +8 +t 4x1 -3x2+2x3 -3x2 +2x3 -X1 3x1 -3x1 0000 +3x4= +x2 +2x3 +3x4 -2x2 +4x3 +6x4 = +3x2 +6x3 +9x4 = = 0 1 1 3
A carpenter builds bookshelves and tables for a living. Each bookshelf takes one box of screws, two 2 ✕ 4's, and three sheets of plywood to make. Each table takes two boxes of screws, two 2 ✕ 4's, and four sheets of plywood. The carpenter has 55 boxes of screws, 70 2 ✕ 4's, and 115 sheets of plywood on hand. In order to maximize their profit using these materials on hand, the carpenter has determined that they must build 10 shelves and 20 tables. How many of each of the materials (boxes of screws, 2 ✕ 4's, and sheets of plywood) are leftover, when the carpenter builds 10 shelves and 20 tables? The carpenter has _ boxes of screws, _ 2 ✕ 4's, and _ sheets of plywood leftover.
A mining company has two mines. One day's operation at mine #1 produces ore that contains 10 metric tons of copper and 590 kilograms of silver, while one day's operation at mine 10 and V₂ = #2 produces ore that contains 20 metric tons of copper and 550 kilograms of silver. Let v₁ 20 550 Then v₁ and v₂ represent the "output per day" of mine #1 and 590 mine #2, respectively. Complete parts (a) through (c) below. a. What physical interpretation can be given to the vector 2v₁? O A. It is the output of copper at mine #1 after 2 days of operation. B. It is the output at mine #1 after 2 days of operation. O C. It is the output at mine #2 after 2 days of operation. OD. It is the output of silver at mine #1 after 2 days of operation. C... b. Suppose the company operates mine #1 for x₁ days and mine #2 for x₂ days. Write a vector equation in terms of v₁ and v₂ whose solution gives the number of days each mine should operate in order to produce 72 tons of copper and 2610 kilograms of silver. Do…
Use the inverse of 1 -4 -7 -1 -1 2 -1 5 X₁ + 2x₂x3 = -3 = 3 (X₁₁ X₂ X3) = -4x₁7x₂ + 7x3 -X₁ - X2 + 5x3 = -2 to find the solutions to the linear system below.
A manufacturer of skis produces two models: a regular ski and a slalom ski. A set of regular skis produces a $25 profit and a set of slalom skis produces a profit of $50. The manufacturer expects a customer demand of at least 200 pairs of regular skis and at least 80 pairs of slalom skis. The maximum number of pairs of skis that can be produced by this
Suppose the system 5x3 7x4 - x2 x2 | 2x2 + + 16x4 x3 has infinitely many solutions. Can you say anything about the number of solutions to the following system? 5x3 7x4 10 x2 x2 x3 2x2 + 16x4 20 x3 + +
Two taps, A and B, can be used to fill a swimming pool. If tap A is fully open and tap B is closed, it takes 4 hours for the pool to be filled. If tap A is closed and tap B is fully open, it takes 3 hours for the pool to be filled. Suppose the pool was filled and the tap A was open for x hours. For how many hours was the tap B open? The tap B was open for 2.85

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Consider the following all-integer linear program: Max 5x1 + 8x2 s.t. 5x1 + 5x2 S 32 9x1 + 3x2 s 38 X1 + 2x2 s 12 X1, x2 2 0 and integer