Find out if it’s a linear program or not if it reformulate it in standard inequality form. maximise71+ 2r2- a3subject to zy+4r +3 <1,-2r1+13

The given problem is maximize x1+2x2-x3 subject to x1+4x2+x3≤1,-2x1+x3≤x2,4x1+2x3≥-7,x1≤0,x3≥0,…

Answered: maximise I1 + 2r2 I3 subject to z + 4r2…

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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Please can you help me with this linear programming question, I've tried seek an anser/guidance from chatgpt but it seems to get it wrong.
Describe an application of linear programming you might find useful where you work, in your personal life, or in a course you are taking. Be specific with your answers. This is an opportunity for you to showcase what you have learned about linear programming and your ability to apply your knowledge to real-world applications.
(a) u want to send these shipments as cheaply as possible. Formulate this as a linear program ( do not need to formulate it is standard inequality form) (b) all is the same as (a) but that only 220L of important chemical A are now required at warehouse 1 or 2 for storage, the company must pay transportation costs or can be disposed of at the port in which case the company paus no transportation costs but pays a disposal fee of £16 per L. You want to find how to ship or dispose of all 610L of chemical imported at the mimimum cost while still ensuring that required amounts (220L and 330L respectively) delivered to warehouse 1 and 2. Describe how to modify your linear program from previous question.
Just make the linear programming model of the next exercise: A company manufactures and sells two lamp models L1 and L2. For its manufacture, a manual work of 30 minutes is needed for the L1 model and 45 minutes for the L2, and a machine work of 25 minutes for L1 and 15 minutes for L2. 150 hours per month are available for manual work and 120 hours per month for the machine. Knowing that profit per unit is $150 and $100 for L1 and L2 respectively, plan production to maximize profit. Please be as clear as possible and show all the steps. Thank you very much
Use the graphing tool to graph in equality and the boundary lines representing the nonnegative constraints.

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maximise I1 + 2r2 I3 subject to z + 4r2 + 13 < 1, -2.r1+3 I2, 4r1 + 2x3 2-7, 13 > 0, I2 unrestricted