[1.2] A manufacturer of plastics is planning to blend a new product from fourchemical compounds. These compounds are mainly composed of threeelements: A, B, and C. The composition and unit cost of these chemicals areshown in the following table:CHEMICAL COMPOUND123435Percentage APercentage BPercentage CCost/kilogram351525206535404015253020302015The new product consists of 25 percent element A, at least 35 percent elementB, and at least 20 percent element C. Owing to side effects of compounds 1 and2, they must not exceed 25 percent and 30 percent, respectively, of the contentof the new product. Formulate the problem of finding the least costly way ofblending as a linear program.

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[1.2] A manufacturer of plastics is planning to blend a new product from four chemical compounds. These compounds are mainly composed of three elements: A, B, and C. The composition and unit cost of these chemicals are shown in the following table: CHEMICAL COMPOUND 1 2 3 4 Percentage A Percentage B Percentage C Cost/kilogram 35 20 15 35 25 65 35 40 40 15 25 30 20 30 20 15 The new product consists of 25 percent element A, at least 35 percent element B, and at least 20 percent element C. Owing to side effects of compounds 1 and 2, they must not exceed 25 percent and 30 percent, respectively, of the content of the new product. Formulate the problem of finding the least costly way of blending as a linear program.

[1.2] A manufacturer of plastics is planning to blend a new product from four chemical compounds. These compounds are mainly composed of three elements: A, B, and C. The composition and unit cost of these chemicals are shown in the following table: CHEMICAL COMPOUND 1 2 3 4 Percentage A Percentage B Percentage C Cost/kilogram 35 20 15 35 25 65 35 40 40 15 25 30 20 30 20 15 The new product consists of 25 percent element A, at least 35 percent element B, and at least 20 percent element C. Owing to side effects of compounds 1 and 2, they must not exceed 25 percent and 30 percent, respectively, of the content of the new product. Formulate the problem of finding the least costly way of blending as a linear program.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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