Instruction: Answer the following systematically. Strictly follow the format of the solution (Example problem + complete solution is provided in the photos below). I WON'T LIKE YOUR ANSWER IF IT IS NOT PROPERLY FOLLOWED AND INCORRECT)A small furniture shop makes tables and chairs which must be processed through assembly and finishing processes. The assembly department is available for 60 hours in every production period while the finishing department is available for 48 hours of work. Making one table requires 4 hours to assemble and 2 hours to finish. Each chair requires 2 hours to assemble and 4 hours to finish. One table contributes P500 to the profit, while a chair contributes P300. Determine the number of tables and chairs to make per production period to maximize profit, assuming all tables and chairs are sold. Objectives: Maximize EXAMPLE PROBLEM + SOLUTION(PLEASE FOLLOW THE FORMAT OF HOW TO SOLVE PROPERLY)A powerplant burns coal, oil, and gas to general electricity. Suppose each ton of coal costs, P200,000generates 600 kilowatts and emits 20 units of sulfur dioxide and 15 units of a particular matter. Each tonof oil costs P220,000 generates 550 kilowatts and emits 18 units of sulfur dioxide and 12 units of aparticular matter. Each ton of gas costs P250,000 generates 500 kilowatts and emits 15 units of sulfurdioxide and 10 units of a particulate matter. The Department of Environment and Natural Resourcesrestricts the daily emission of sulfur dioxide to not more than 60 units and not more than 75 units ofparticulate matter. If the powerplant wants to spend not more than P1,200,000 per day on fuel, how muchof each type should be used to maximize the amount of power generated?Maximize:PG = 600x, + 550x, + 500x,20x, + 22x, + 25x, s 12020x, + 18x, + 15x, s 6015x, + 12x, + 10x, s 75Subject to:Maximize:PG = 600x, + 550x, + 500x, + 0S, + 0s, + os,20x, + 22x, + 25x, + S, = 12020x, + 18x, + 15x, + S, = 6015x, + 12x, + 10x, + S,Subject to:+ S. =75*, S, 2 0Table 1.600550500VarQty1202022256020181575151210z,C, – z,60050500Table 2.600550500 VarQty's604.10-160039/103/41/2030-3/2-5/4-3/4z,180054030600450C, - Z,1050-30Table 3.600550500VarQty20-40/3-8-5/3500X,44/36/51/15s,5/3-2/335z,20002000/3600500100/3C, - Z,-200/3-50-100Decision:Coal = 0,%3DOil = 0,Gas = 4,Maximum Power Generated of 2, 000 kilowatts.

Answered: Instruction: Answer the following…

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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Instruction: Answer the following systematically. Strictly follow the format of the solution (Example problem + complete solution is provided in the photos below). I WON'T LIKE YOUR ANSWER IF IT IS NOT PROPERLY FOLLOWED AND INCORRECT)

A small furniture shop makes tables and chairs which must be processed through assembly and finishing processes. The assembly department is available for 60 hours in every production period while the finishing department is available for 48 hours of work. Making one table requires 4 hours to assemble and 2 hours to finish. Each chair requires 2 hours to assemble and 4 hours to finish. One table contributes P500 to the profit, while a chair contributes P300. Determine the number of tables and chairs to make per production period to maximize profit, assuming all tables and chairs are sold.