The Huge State U Bookstore buys textbooks from two suppliers: Easybooks Galore and Basic Books.

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The Huge State U Bookstore buys textbooks from two suppliers: Easybooks Galore and Basic Books.

Easybooks Galore offers packages of 5 quantum mechanics textbooks and 10 astrophysics textbooks at $120 per package, and Basic Books offers packages of 20 quantum mechanics textbooks and 5 astrophysics textbooks at $80 per package. The bookstore needs to buy at least 2,100 quantum mechanics textbooks and at least 3,500 astrophysics textbooks. Further, the faculty stipulate that at least 80% of the total number of packages must be from Easybooks Galore. How many packages should the bookstore order from each supplier to satisfy the above requirements at the least possible cost?

SolutionLet z be the minimum costX be the number of packages from Easybooks GaloreY be the number of packages from Basic books MinimizeZ= 120X+80YSubject to5X+20Y≥210010X+5Y≥3500…

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