A company manufactures two products X and Y on three machinesTurning, Milling and finishing machines. Each unit of X takes, 10 hoursof turning machine capacity, 5 hours of milling machine capacity and 1hour of finishing machine capacity. One unit of Y takes 6 hours ofturning machine capacity, 10 hours of milling machine capacity and 2hours of finishing machine capacity. The company has 2500 hours ofturning machine capacity, 2000 hours of milling machine capacity and500 hours of finishing machine capacity in the coming planning period.The profit contribution of product X and Y are RS.23 per unit and Rs.32unit11perrespectively. Formulate the problem as the linear programmingproblem and find the maximum profit.(OR)

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Answered: A company manufactures two products X…

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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A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply 6 units of protein 4 units of carbohydrates, and 4 unit of fat, and will contain 18 calories. Each K ounce of nuts will supply 3 units of protein, 3 unit of carbohydrate, and 5 units of fat, and will contain 29 calories. Every package must provide at least 6 units of protein, at least 10 units of carbohydrates, and no more than 11 units of fat. What is the least number of calories possible in a package? Write out the inequality for protein using x and y as your variables for ounces of fruit and nuts respectively (Use variables in order) Write out the inequality for carbohydrates using x and y as your variables for ounces of fruit and nuts respectively (Use variables in order) 0 Write out the inequality for fat using x and y as your variables for ounces of fruita my instructor srespectively (Use variables in order)
Infotron Inc makes electronic hockey and soccer games. Each hockey game requires 2 labor-hours of assembly and 2 labor-hours of testing. Each soccer game requires 3 labor-hours of assembly and 1 labor-hour of testing. Each day there are 48 labor-hours available for assembly and 36 labor-hours available for testing. How many of each game should Infotron produce each day to maximize its total daily output?
A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply zero units of protein, 3 units of carbohydrates, and 2 units of fat, and will contain 40 calories. Each ounce of nuts will supply 2 units of protein, 1 unit of carbohydrate, and 4 units of fat, and will contain 50 calories. Every package must provide at least 2 units of protein, at least 13 units of carbohydrates, and no more than 16 units of fat. Find the number of ounces of fruit and number of ounces of nuts that will meet the requirement with the least number of calories. What is the least number of calories? Let x be the ounces of fruit and y be the ounces of nuts. What is the objective function that must by minimized? Z=
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Astra company manufactures bamboo toy chairs and chess sets. Each bamboo toy chair yields a profit of $3, and each chess set, $6. A bamboo toy chair requires 5 hours of processing at Machine A and three hours at Machine B, and one hour at Machine C, while a chess set requires seven hours at Machine A, seven hours at Machine B, and one hour at Machine C. Machine A has a maximum of 130 hours of available capacity per day. Machine B has 95 hours, and Machine C has 20 hours. If the company wishes to maximize profit, how many bamboo toy chairs and chess sets should be produced per day? Solve this problem using graphical method and please explain the steps on how you solve it. Thank you :))

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