This doesn't make any sense to me, especially the part "... according to A(1, 2), B(-1, 2), C(-1, -3).Roni1985 said:Homework Statement
Optimization (Maximize or Minimize)
JJCJ=-x +2y according to:
A(1,2)
B(-1,2)
C(-1,-3)
Roni1985 said:Homework Equations
The Attempt at a Solution
I have taken many advanced math courses and its kind of embarrassing that I don't know how to approach this question :\
First I thought there was a mistake with the question but my cousin says that this is what the professor game them. I don't even know what JJCJ is...
Would appreciate any help.
Mark44 said:This doesn't make any sense to me, especially the part "... according to A(1, 2), B(-1, 2), C(-1, -3).
A, B, and C are points.
In optimization problems you are usually given some objective function (like your JJCJ above - I have no idea what JJCJ means), and the constraints are inequalities, such as x >= 0, y >= 0, 2x + 3y <= 5.
Do the points in your problem constitute vertices in the critical region?
What is the exact wording of the problem?
Precalculus optimization problems involve finding the maximum or minimum value of a quantity, given certain constraints. These problems often involve real-world scenarios and require the use of mathematical concepts such as derivatives and critical points.
The first step is to carefully read and understand the problem, identifying the given constraints and the quantity to be optimized. Then, use mathematical techniques such as setting up equations and taking derivatives to find critical points. Finally, evaluate the critical points to determine the maximum or minimum value.
Some common applications include maximizing profit in a business, minimizing cost in a manufacturing process, and finding the maximum or minimum value of a physical quantity, such as the trajectory of a projectile or the volume of a container.
Yes, it is possible for a precalculus optimization problem to have multiple solutions. This can occur when there are multiple critical points that satisfy the given constraints, or when the objective function has multiple local maximum or minimum points.
Some tips include carefully defining variables and drawing diagrams to visualize the problem, checking for extraneous solutions, and practicing with various types of optimization problems to become familiar with the process. It is also helpful to double-check your work and make sure your solution makes sense in the context of the problem.