5. A steel company has two mills. Mill 1 costs $70,000 per day to operate, and it canproduce 400 tons of high-grade steel, 500 tons of medium-grade steel, and 450 tons oflow-grade steel each day. Mill 2 costs $60,000 per day to operate, and it can produce 350tons of high-grade steel, 600 tons of medium-grade steel, and 400 tons of low-grade steeleach day. The company has orders totaling 100,000 tons of high-grade steel, 150,000 tonsof medium-grade steel, and 124,500 tons of low-grade steel. Use the Simplex technique(do not use excel show workings) to find out how many days the company should runeach mill to minimize its costs and still fill the orders.

Given, that Mill costs per day to operate.Mill costs per day to operate.Production capabilities…

Answered: A steel company has two mills. Mill 1…

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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You are in charge of purchases at the student-run used-book supply program at your college, and you must decide how many introductory calculus, history, and marketing texts should be purchased from students for resale. Due to budget limitations, you cannot purchase more than 1050 of these textbooks each semester. There are also shelf-space limitations: Calculus texts occupy 2 units of shelf space each, history books 1 unit each, and marketing texts 5 units each, and you can spare at most 1,900 units of shelf space for the texts. If the used book program makes a profit of $10 on each calculus text, $4 on each history text, and $8 on each marketing text, how many of each type of text should you purchase to maximize profit? HINT [See Example 3.] calculus text(s) history text(s) marketing text(s) What is the maximum profit the program can make in a semester?
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A zookeeper has a walrus with a nutritional deficiency. She wants to make sure the walrus consumes at least 2700 mg of iron, 2400 mg of vitamin B-1, and 1800 mg of vitamin B-2, One Maxivite pill contains 500 mg of iron, 200 mg of vitamin B-1, and 100 mg of vitamin B-2, and costs $0.05. One Healthovite pill provides 100 mg of iron, 150 mg of vitamin B-1, and 150 mg of vitamin B-2, and costs $0.06. Complete parts (a)-(c) below. (a) What combination of Maxivite and Healthovite pills will meet the walrus's requirement at lowest cost? What is the lowest cost? Set up the linear programming problem. Let m represent the number of Maxivite pils, h represent the number of Healthovite pills, and c represent the total cost in dollars. Minimize c= 0.05m + 0.06h subject to 500m + 100h 2 2700 200m + 150h 2 2400 100m + 150h 2 1800 m20, h 2 0. (Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.) The best combination of pilts that moets the walrus's…
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Need only a handwritten solution only (not a typed one).
A small petroleum company owns two refineries. Refinery 1 costs $20,000 per day to operate, and itcan produce 400 barrels of high-grade oil, 300 barrels of medium-grade oil, and 200 barrels of low-gradeoil each day. Refinery 2 is newer and more modern. It costs $25,000 per day to operate, and it canproduce 300 barrels of high-grade oil, 400 barrels of medium-grade oil, and 500 barrels of low-grade oileach day. The company has orders totaling 25,000 barrels of high-grade oil, 27,000 barrels of medium-grade oil, and 30,000 barrels of low-grade oil. How many days should it run each refinery to minimizeits costs and still refine enough oil to meet its orders? Use simplex method
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A small petroleum company owns two refineries. Refinery 1 costs P20,000 per day to operate, and it can produce 400 barrels of high-grade oil, 300 barrels of medium-grade oil, and 200 barrels of low-grade oil each day. Refinery 2 is newer and more modern. It costs P25,000 per day to operate, and it can produce 300 barrels of high-grade oil, 400 barrels of medium-grade oil, and 500 barrels of low-grade oil each day. The company has orders totaling 25,000 barrels of high-grade oil, 27,000 barrels of medium-grade oil, and 30,000 barrels of low-grade oil. How many days should it run each refinery to minimize its costs and still refine enough oil to meet its orders?
You are in charge of purchases at the student-run used-book supply program at your college, and you must decide how many introductory calculus, history, and marketing texts should be purchased from students for resale. Due to budget limitations, you cannot purchase more than 900 of these textbooks each semester. There are also shelf-space limitations: Calculus texts occupy 2 units of shelf space each, history books 1 unit each, and marketing texts 2 units each, and you can spare at most 1,400 units of shelf space for the texts. If the used book program makes a profit of $10 on each calculus text, $4 on each history text, and $8 on each marketing text, how many of each type of text should you purchase to maximize profit?

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