Explanation It is given that the charge to ship orders upto 10 lb is $8, charge for orders from 10 lb to 15 lb is $12, and charge for orders of 15 lb or more is $15. Total orders placed are 150 and the shipping charge for 150 orders is totalled to $1620. Consider the number of orders upto 10 lb as x , orders from 10 lb to 15 lb as y , and orders of 15 lb or more as z . Thus, the first two equations become x + y + z = 150 and 8 x + 12 y + 15 z = 1620 . It is also given that the number of orders that weighs upto 10lb are 3 times the number of orders that weighs 15lb or more, thus the third equation becomes x = 3 z . Substitute x = 3 z in the first two equations and obtain two 2-variables equations as follows. ( 3 z ) + y + z = 150 and 8 ( 3 z ) + 12 y + 15 z = 1620 y + 4 z = 150 and 12 y + 39 z = 1620 Solve the two variables system of equations by elimination method. y + 4 z = 150 12 y + 39 z = 1620 Multiply y + 4 z = 150 by –12 as − 12 y − 48 z = − 1800 . Add the new equations as follows. 12 y + 39 z = 1620 − 12 y − 48 z = − 1800 _ − 9 z = − 180 That is, z = 20

6th Edition

ISBN: 9780135834398

Author: BITTINGER

Publisher: PEARSON

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Chapter 6, Problem 10MC

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The number of orders weighing up to 10 lb, the number of orders from 10 lb to 15 lb, and the number of orders of 15 lb or more.

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Q1lal Let X be an arbitrary infinite set and let r the family of all subsets F of X which do not contain a particular point x, EX and the complements F of all finite subsets F of X show that (X.r) is a topology. bl The nbhd system N(x) at x in a topological space X has the following properties NO- N(x) for any xX N1- If N EN(x) then x€N N2- If NEN(x), NCM then MeN(x) N3- If NEN(x), MEN(x) then NOMEN(x) N4- If N = N(x) then 3M = N(x) such that MCN then MeN(y) for any уем Show that there exist a unique topology τ on X. Q2\a\let (X,r) be the topology space and BST show that ẞ is base for a topology on X iff for any G open set xEG then there exist A Eẞ such that x E ACG. b\Let ẞ is a collection of open sets in X show that is base for a topology on X iff for each xex the collection B, (BEB\xEB) is is a nbhd base at x. - Q31 Choose only two: al Let A be a subspace of a space X show that FCA is closed iff F KOA, K is closed set in X. الرياضيات b\ Let X and Y be two topological space and f:X -…

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Chapter 6 Solutions

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The number of orders weighing up to 10 lb, the number of orders from 10 lb to 15 lb, and the number of orders of 15 lb or more.

Solution Summary: The author explains that the number of orders weighing up to 10 lb is 60, 70, and 20. Substitute x=3z in the first two equations and obtain two 2-variables

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The number of orders weighing up to 10 lb, the number of orders from 10 lb to 15 lb, and the number of orders of 15 lb or more.

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Chapter 6 Solutions