Question

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?

Answer 1

Let x packagen arderedts Eaay bcok Gdlore and xc backage contains s quantum machanics text booka and lox asro hyaica text bosks y badtage cean quantum maeanics text bsta and s astio physies tet beka ns 2os tuanitum ma quantum ma chino textbooks 52x4 20y 22/oo 80% of tot-d books ackage at least-Pom eaAY boob. Cotc mtn 1202(+80 = Toin DC c y 350 1706 420 los ntar nediau point multiply by2 L10 9-2 340 2. C 340,20) 210, L0S (31 78)

Corner peinls A (420,0),B(34,20) c (312,Te) Cat A (420,o) = 420(120) to Cat B (340, 2o)-34°(120) +2o(go) Cat c 312.7)312 (120) +783D) Thane fore Tha Hoce Stata U Bosk Atore chodd by $ So,400 42400 $43, 630 34o backage from Eaay bst Galoe and 2o hackage vean Bailc bockes to mini mize tha cont 42,4oo to patify 5D 250 IsA 5: (312.7)