What are the Constraints for this problem A customer has made a request for a wooden box withan open top that needs to have a volume of 75,000cm^3.What would be the optimal dimensions of the box inorder to minimize the amount of material used so wecan maximize profits.A) What are the Constraints?

Here we have two constraints. The first is surface area and the second is volume.

Answered: A customer has made a request for a…

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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Part1)An airplane carries water and medical kits to survivors of a natural disaster. The plane can carry a maximum payload of 80,000 pounds. Each container of water weighs 20 pounds, and each medical kit weighs 10 pounds.The cargo space holds a maximum of 6000 cubic feet of cargo. Graph these constraints on the grid provided, and write some units on the axes. Assume each container has a volume of 1 cubic foot. Part2)If each container of water serves 10 people and each medical kit aids 6 people, find the number of water containers and medical kits that could help the most people
Scenario: You are in the process of establishing a small business involving the production of vegetables. Available to you are 50 acres of land space to produce carrots and cabbage. You are hoping to make a profit of $5.00 on the carrots and $4.00 on each cabbage. To produce the crop you have to operate under certain constraints. Required: State at least 3 constraints under which you have to operate? Using your constraints determine the maximum profit you can make from your produce.
Develop your own set of constraints, at least three equations and/or inequalities, and use them to illustrate graphically each of the following conditions: 1. an unbounded problem
Apply the procedure for tightening constraints to the following constraint for a pure BIP problem: 2x₁ + 4x₂ - 6x3 ≤ 3
Define the variables, determine the constraints and the objective function.
The region in the plane that represents the solution set to a system of constraints is called the __________ region.
Use the graphing tool to graph in equality and the boundary lines representing the nonnegative constraints.

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A customer has made a request for a wooden box with an open top that needs to have a volume of 75,000cm^3. What would be the optimal dimensions of the box in order to minimize the amount of material used so we can maximize profits. A) What are the Constraints? A