MHB Using linear systems to solve problems (2)

  • Thread starter Thread starter bkan21
  • Start date Start date
  • Tags Tags
    Linear Systems
Click For Summary
Provincial Express charges a fixed fee of $4 plus a variable cost of $1.50 per kilogram for overnight delivery, while The Package People has a fixed fee of $5 and a variable cost of $1 per kilogram. To determine when Provincial Express becomes the cheaper option, one can set up linear equations based on the costs. The equation for Provincial Express is represented as $y = 1.5x + 4$, where "x" is the weight of the package. The discussion emphasizes the use of linear systems to analyze and compare these delivery costs effectively.
bkan21
Messages
6
Reaction score
0
Provincial Express charges \$4, plus \$1.50/kg, to deliver a package overnight. The Package people charges \$5, plus \$1/kg. When is Provincial Express less expensive to use?
 
Last edited by a moderator:
Mathematics news on Phys.org
Exactly the same as the rental car. Name stuff and demonstrate what you can do.
 
What do you know about linear equations? This one will be of the form $y=mx+c$ where "c" is fixed cost and "m" being variable cost (in this case per kilo) and x is mass.

Provincial Express is $4+ 1.50x$ - 4 is the fixed cost and 1.5 the variable cost.

Can you set up an equation for Tehe?
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
View full post »

Similar threads

MHB Combinatorics: Order in a line by 2 conditions
  • · Replies 1 ·
Replies
1
Views
1K
B Attempt to solve this system of three linear equations
  • · Replies 10 ·
Replies
10
Views
2K
I The Price of Beer - Linear Algebra Problem
  • · Replies 44 ·
2
Replies
44
Views
5K
MHB Linear combination of sine and cosine function
  • · Replies 3 ·
Replies
3
Views
2K
MHB Linear profit, graphs and equations.
  • · Replies 1 ·
Replies
1
Views
2K
MHB Fixed point,, Jacobi- & Newton Method, Linear Systems
  • · Replies 7 ·
Replies
7
Views
2K
MHB Motion Problem Using F=Ma and s=ut+1/2xt^2
  • · Replies 4 ·
Replies
4
Views
3K
MHB Using linear systems to solve problems (1)
  • · Replies 2 ·
Replies
2
Views
2K
MHB Solving system of linear inequalities
  • · Replies 9 ·
Replies
9
Views
3K
MHB Solving a Non-Linear System: Approaches and Techniques
  • · Replies 5 ·
Replies
5
Views
2K