Dr. Ng (not his real name) works part time as a fruit seller. He goes to the fruit wholesaler every day with $200 and buys back 3 types of fruits to sell at his stall. On a particular day, he decides to choose from oranges, grapefruits and mangoes and finds these fruits selling at the following prices: Orange: $0.50 per orange Grapefruit: $1.10 per grapefruit Mango: $1.50 per mango (i) If Dr. Ng wants to buy exactly 100 fruits and use all his $200, write down a linear system with two equations and three variables. (ii) Determine if it is possible for Dr. Ng to make his purchases. Important: For this question, it is obvious that Dr. Ng is not allowed to buy a fraction of a fruit, neither is it possible that the number of a particular fruit he buys is negative.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Solve this Linear Algebra Question

Dr. Ng (not his real name) works part time as a fruit seller. He goes to the fruit
wholesaler every day with $200 and buys back 3 types of fruits to sell at his stall. On
a particular day, he decides to choose from oranges, grapefruits and mangoes and finds
these fruits selling at the following prices:
Orange: $0.50 per orange
Grapefruit: $1.10 per grapefruit
Mango: $1.50 per mango
(i) If Dr. Ng wants to buy exactly 100 fruits and use all his $200, write down a
linear system with two equations and three variables.
(ii) Determine if it is possible for Dr. Ng to make his purchases.
Important: For this question, it is obvious that Dr. Ng is not allowed to
buy a fraction of a fruit, neither is it possible that the number of a particular
fruit he buys is negative.
Transcribed Image Text:Dr. Ng (not his real name) works part time as a fruit seller. He goes to the fruit wholesaler every day with $200 and buys back 3 types of fruits to sell at his stall. On a particular day, he decides to choose from oranges, grapefruits and mangoes and finds these fruits selling at the following prices: Orange: $0.50 per orange Grapefruit: $1.10 per grapefruit Mango: $1.50 per mango (i) If Dr. Ng wants to buy exactly 100 fruits and use all his $200, write down a linear system with two equations and three variables. (ii) Determine if it is possible for Dr. Ng to make his purchases. Important: For this question, it is obvious that Dr. Ng is not allowed to buy a fraction of a fruit, neither is it possible that the number of a particular fruit he buys is negative.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,