Hey there! Sign in to join this conversationNew here? Join for free
x Turn on thread page Beta

Interesting Additional Maths Problem - Linear Programming Problem watch

    • Thread Starter
    Offline

    2
    ReputationRep:
    In one of my Additional Maths classes after school the other day, an interesting question popped up on our end of unit test, specifically, section 6 of the OCR Ad Maths book.

    It was regarding the Objective Function of our problem, yet our class had mixed opinions on what the answer actually was, which is surprising considering the average intelligence of those in the class.

    It goes as follows:

    A Linear Programming problem is as follows:
    The cost of a chair is £22 and the cost of a table is £70. A cafe owner wishes to purchase as many chairs and tables as possible. There is a maximum of £300 available for the purchase. He must buy at least four times as many chairs as tables.

    Let the number of chairs bought be 'c' and the number of tables be 't' (You may assume that c ≥ 0 and t ≥ 0.) Two constraint of the problem are represented algebraically by one of the following sets of inequalities. Which one?

    We determined it was 22c + 70t ≤300 and c ≥ 4t. Simple right?

    The next part of the question is what stumped us:

    In the problem of Question 8, it was stated that the cafe owner wishes to purchase as many chairs and tables as possible. One of the following is the Objective Function. Which one?
    a) P = c + t
    b) P = 22c + 70t
    c) P = 4c + t
    d) P = c + 4t

    It was argued that B was correct, although it was also argued that both C and D were correct. Which is truly right?
    • Study Helper
    Online

    15
    Study Helper
    (Original post by Spannerr)
    In the problem of Question 8, it was stated that the cafe owner wishes to purchase as many chairs and tables as possible. One of the following is the Objective Function. Which one?
    a) P = c + t
    b) P = 22c + 70t
    c) P = 4c + t
    d) P = c + 4t

    It was argued that B was correct, although it was also argued that both C and D were correct. Which is truly right?
    She wishes to maximise the number of tables and chairs, i.e. "c + t". So answer is A.

    B is the cost of the tables and chairs.

    Edit: The question is rather poorly formulated since as it stands, she'd just buy chairs and no tables. Option D would give a better balance, but it's not what's posed by the question.
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: February 28, 2018
Poll
Do you agree with the proposed ban on plastic straws and cotton buds?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.