Turn on thread page Beta
    • Thread Starter
    Offline

    3
    ReputationRep:
    How would I go about answering the following problem:

    “James has recently opened a new bakery. He has 22.5kg of flour, 24kg of butter and 21kg of sugar available. The best selling items are shortbread and pancakes. Shortbreads need 120g of flour, 96g of butter and 132g of sugar for 16.
    Pancakes need 240g of flour, 300g of butter and 180g of sugar for 24.
    (He has plenty of the other ingredients needed.)

    Shortbreads sell for £1.75 a pack of 4 and Pancakes for £1.95 a pack of 4. All are sold by the end of each day.
    Recommend the number of shortbread and pancakes that should be baked and state the expected income.”
    Offline

    20
    ReputationRep:
    This looks like a linear programming problem. I assume you must have studied the topic, so start out by formulating an objective function and constraints.
    Offline

    15
    ReputationRep:
    (Original post by Billy_\1100)
    How would I go about answering the following problem:

    “James has recently opened a new bakery. He has 22.5kg of flour, 24kg of butter and 21kg of sugar available. The best selling items are shortbread and pancakes. Shortbreads need 120g of flour, 96g of butter and 132g of sugar for 16.
    Pancakes need 240g of flour, 300g of butter and 180g of sugar for 24.
    (He has plenty of the other ingredients needed.)

    Shortbreads sell for £1.75 a pack of 4 and Pancakes for £1.95 a pack of 4. All are sold by the end of each day.
    Recommend the number of shortbread and pancakes that should be baked and state the expected income.”
    sorry teh editing didnt copy and paste through i deleted it.
    • Thread Starter
    Offline

    3
    ReputationRep:
    (Original post by TheMindGarage)
    This looks like a linear programming problem. I assume you must have studied the topic, so start out by formulating an objective function and constraints.
    I actually have no idea what that is. We haven’t learnt about that yet so there must be another way to do it. Any recommendations please?
    • Thread Starter
    Offline

    3
    ReputationRep:
    (Original post by TheMindGarage)
    This looks like a linear programming problem. I assume you must have studied the topic, so start out by formulating an objective function and constraints.
    If you could give me an idea of how to start solving the program using linear programming, that would be great as we haven’t been taught about that yet.
    • Thread Starter
    Offline

    3
    ReputationRep:
    (Original post by Alumna)
    sorry teh editing didnt copy and paste through i deleted it.
    Sorry, I don’t understand what you mean
    Offline

    20
    ReputationRep:
    (Original post by Billy_\1100)
    If you could give me an idea of how to start solving the program using linear programming, that would be great as we haven’t been taught about that yet.
    Start out by putting the recipies and prices in terms of a single shortbread or pancake. Define the objective function - this will be an expression for how much money you will make. Then formulate the constraints - these will be inequalities in terms of the number of shortbreads and pancakes made. One constraint for flour, one for sugar, one for butter.
    • Thread Starter
    Offline

    3
    ReputationRep:
    (Original post by TheMindGarage)
    Start out by putting the recipies and prices in terms of a single shortbread or pancake. Define the objective function - this will be an expression for how much money you will make. Then formulate the constraints - these will be inequalities in terms of the number of shortbreads and pancakes made. One constraint for flour, one for sugar, one for butter.
    Okay, I have all the inequalities but how do I work out the maximum possible income from these inequalities? And thanks for your help so far
    Offline

    18
    ReputationRep:
    What level is this problem? Is a calculator allowed?
    Offline

    20
    ReputationRep:
    (Original post by Billy_\1100)
    Okay, I have all the inequalities but how do I work out the maximum possible income from these inequalities? And thanks for your help so far
    Put all the inequalities on a graph (they will all be straight lines) and shade any area that is unfeasible (ie it does not satisfy one or more of the inequalities). Then look at the vertices of the unshaded (feasible) region and calculate the objective function for each one. Pick the highest.
    Offline

    10
    ReputationRep:
    .....
    Posted on the TSR App. Download from Apple or Google Play
 
 
 

2,653

students online now

800,000+

Exam discussions

Find your exam discussion here

Poll
Should universities take a stronger line on drugs?
Help with your A-levels

All the essentials

The adventure begins mug

Student life: what to expect

What it's really like going to uni

Rosette

Essay expert

Learn to write like a pro with our ultimate essay guide.

Uni match

Uni match

Our tool will help you find the perfect course for you

Study planner

Create a study plan

Get your head around what you need to do and when with the study planner tool.

Study planner

Resources by subject

Everything from mind maps to class notes.

Hands typing

Degrees without fees

Discover more about degree-level apprenticeships.

A student doing homework

Study tips from A* students

Students who got top grades in their A-levels share their secrets

Study help links and info

Can you help? Study help unanswered threadsRules and posting guidelines

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.