MHB Linear Programming word problems

glaceau
Messages
1
Reaction score
0
a small business makes laptops and notepads. In any given month labour costs must not exceed £1350 and material costs must be a maximum of £1150.

Relevant information:
Laptops cost £50 in materials to make and labour costs £50, they make £110 profit on each laptop.
notepads cost £25 in materials to make and labour costs £40, they make £70 profit on each notepad.

QUESTION: HOW MANY OF EACH TYPES OF COMPUTER SHOULD THE COMPANY AIM TO SELL EACH MONTH IN ORDER TO MAKE THE MAXIMUM PROFIT?

Thanks if anybody can answer this question!
 
Physics news on Phys.org
Hello and welcome to MHB, glaceau! :D

We ask that our users show their progress (work thus far or thoughts on how to begin) when posting questions. This way our helpers can see where you are stuck or may be going astray and will be able to post the best help possible without potentially making a suggestion which you have already tried, which would waste your time and that of the helper.

Can you post what you have done so far?
 
Thread 'Determine whether ##125## is a unit in ##\mathbb{Z_471}##'

Thread 'Determine whether ##125## is a unit in ##\mathbb{Z_471}##'

This is the question, I understand the concept, in ##\mathbb{Z_n}## an element is a is a unit if and only if gcd( a,n) =1. My understanding of backwards substitution, ... i have using Euclidean algorithm, ##471 = 3⋅121 + 108## ##121 = 1⋅108 + 13## ##108 =8⋅13+4## ##13=3⋅4+1## ##4=4⋅1+0## using back-substitution, ##1=13-3⋅4## ##=(121-1⋅108)-3(108-8⋅13)## ... ##= 121-(471-3⋅121)-3⋅471+9⋅121+24⋅121-24(471-3⋅121## ##=121-471+3⋅121-3⋅471+9⋅121+24⋅121-24⋅471+72⋅121##...
View full post »

Thread 'Trouble understanding an online solution to an exercise in Dummit & Foote'

##\textbf{Exercise 10}:## I came across the following solution online: Questions: 1. When the author states in "that ring (not sure if he is referring to ##R## or ##R/\mathfrak{p}##, but I am guessing the later) ##x_n x_{n+1}=0## for all odd $n$ and ##x_{n+1}## is invertible, so that ##x_n=0##" 2. How does ##x_nx_{n+1}=0## implies that ##x_{n+1}## is invertible and ##x_n=0##. I mean if the quotient ring ##R/\mathfrak{p}## is an integral domain, and ##x_{n+1}## is invertible then...
View full post »

Thread 'Questions about non existence of GCDs vs (coimages, cokernels)'

The following are taken from the two sources, 1) from this online page and the book An Introduction to Module Theory by: Ibrahim Assem, Flavio U. Coelho. In the Abelian Categories chapter in the module theory text on page 157, right after presenting IV.2.21 Definition, the authors states "Image and coimage may or may not exist, but if they do, then they are unique up to isomorphism (because so are kernels and cokernels). Also in the reference url page above, the authors present two...
View full post »

Similar threads

B Solving a Linear Programming Problem which Requires Integer Solutions
Replies
17
Views
3K
I Can Linear Programming Handle Combined Item and Shipping Costs Optimization?
Replies
7
Views
2K
MHB Linear profit, graphs and equations.
Replies
1
Views
2K
Python Solving Linear Programming problems in python PulP
Replies
1
Views
1K
Linear Programming Case Study - Case Problem
Replies
2
Views
5K
Linear programming - profit maximisation
Replies
4
Views
4K
MHB Linear Programming formulation problem
Replies
4
Views
3K
Word problem equation linear growth and slope
Replies
4
Views
2K
How Does Car Type and Investment Limit Affect Dealership Profit Maximization?
Replies
6
Views
2K
MHB Which Catering Service Maximizes Charity Profit for a Business Banquet?
Replies
2
Views
6K

Hot Threads

Recent Insights

Back
Top