Suppose shop A sells q chocolates for q2 + 2q dollars whereas the price per chocolate in shop B is $10. We say that we “profit from shop A” if we purchase the same quantity of chocolates from shop A at a relatively cheaper price as compared to shop B. Otherwise, we say that we are at a loss. i. Prove that we will get a large number of chocolates for a cheaper price in Shop B compared to Shop A. ii. What is the maximum number of chocolates we can purchase from shop A so that we do not lose any money ? iii. How many chocolates should we buy from shop A to maximise our profit (compared to shop B)?
Suppose shop A sells q chocolates for q2 + 2q dollars whereas the price per chocolate in shop B is $10. We say that we “profit from shop A” if we purchase the same quantity of chocolates from shop A at a relatively cheaper price as compared to shop B. Otherwise, we say that we are at a loss. i. Prove that we will get a large number of chocolates for a cheaper price in Shop B compared to Shop A. ii. What is the maximum number of chocolates we can purchase from shop A so that we do not lose any money ? iii. How many chocolates should we buy from shop A to maximise our profit (compared to shop B)?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter5: Linear Inequalities
Section5.1: Solving Inequalities By Addition And Subtraction
Problem 57PFA
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Suppose shop A sells q chocolates for q2 + 2q dollars whereas the price per chocolate in shop
B is $10. We say that we “profit from shop A” if we purchase the same quantity of chocolates
from shop A at a relatively cheaper price as compared to shop B. Otherwise, we say that we
are at a loss.
i. Prove that we will get a large number of chocolates for a cheaper price in Shop B compared
to Shop A.
ii. What is the maximum number of chocolates we can purchase from shop A so that we do
not lose any money ?
iii. How many chocolates should we buy from shop A to maximise our profit (compared to shop
B)?
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