Lesson 8: Break Even Analysis, Equilibrium Quantity/Price

Slides:



Advertisements
Similar presentations
3.3 Cost, Profit and Revenue Functions
Advertisements

AKUNTANSI MANAJEMEN. O The cost-volume-profit study is the manner of how to evolve the total revenues, the total costs and operating profit, as changes.
Cost, revenue, profit Marginals for linear functions Break Even points Supply and Demand Equilibrium Applications with Linear Functions.
Chapter 2 Functions and Graphs Section 1 Functions.
Relative Extrema Lesson 5.5. Video Profits Revisited Recall our Digitari manufacturer Cost and revenue functions C(x) = 4.8x x 2 0 ≤ x ≤ 2250 R(x)
Linear Functions and Applications Lesson 1.2. A Break Even Calculator Consider this web site which helps a business person know when they are breaking.
Section 12.1 Techniques for Finding Derivative. Constant Rule Power Rule Sum and Difference Rule.
Break-Even Analysis When a company manufactures x units of a product, it spends money. This is total cost and can be thought of as a function C, where.
Section 12.2 Derivatives of Products and Quotients
Combine Like Terms 1) 3x – 6 + 2x – 8 2) 3x – x + 10 Exponent Rules 3) What is 2x  3x? 5x – 14 15x + 3 6x 2 Warm up.
Combine Like Terms 1) 3x – 6 + 2x – 8 2) 3x – x + 10 Exponent Rules 3) What is 2x  3x? 5x – 14 15x + 3 6x 2 Warm up.
Slide 7- 1 Copyright © 2012 Pearson Education, Inc.
Section 1-2: Composition of Functions If you have two functions, you can form new functions by adding, subtracting, multiplying, or dividing the functions.
Section 1.4 Intersection of Straight Lines. Intersection Point of Two Lines Given the two lines m 1,m 2, b 1, and b 2 are constants Find a point (x, y)
1-2 & 1-3 Functions and Models
ACT Test Prep I-2 3x³ ·2x²y ·4x²y is equivalent to: F. 9x⁷y² G. 9x¹²y² H. 24x⁷y² J. 24x¹²y K. 24x¹²y².
Differentiation Techniques: The Product and Quotient Rules
1.2 Linear functions & Applications. Linear Function f defined by (for real numbers m and b) x=independent variable y=dependent variable.
Math 1320 Chapter 1: Linear Functions 1.2 Functions and Models.
Math Jeopardy! By:. CurrentReviewWord Problem
MAT 150 Module 7 – Operations With Functions Lesson 1 – Combining Functions.
PreCalculus Section 4.2 Perform operation on functions Like, numbers, functions can be added, subtracted, multiplied, and divided. The profit generated.
LESSON 4-3A PRIME FACTORIZATION. MATH VOCABULARY Prime #: A number that can only be found by multiplying the given number x 1 (only one way to get answer.
Economic Definitions Profit = Revenue – Cost P(x) = R(x) – C(x) Assume the cost of producing x radios is C(x) =.4x 2 +7x + 95 dollars. A. Find the cost.
PreCalculus Section 4.2 Perform operation on functions Like, numbers, functions can be added, subtracted, multiplied, and divided. The profit generated.
Linear Functions Chapter 1. Linear Functions 1.2 Linear Functions and Applications.
Last Answer LETTER I h(x) = 3x 4 – 8x Last Answer LETTER R Without graphing, solve this polynomial: y = x 3 – 12x x.
Chapter 4 Lesson 2 Combining Functions; Composite Functions.
Algebra of Functions Let f and g be functions with domains D and E respectively. Define new functions from D E -> R by (f+g)(x) = f(x) + g(x) (f-g)(x)
Calculus Section 3.4 Calculate marginal cost, revenue, and profit
Linear Functions, Simple Interest, Cost – Revenue – Profit Functions
Chapter 10 Limits and the Derivative
Section 1.4 – Day 2 Market Equilibrium.
Economic Definitions Profit = Revenue – Cost P(x) = R(x) – C(x)
5x – 14 15x + 3 6x2 Warm up Combine Like Terms Exponent Rules
Quantitative Methods
Quantitative Methods
Quantitative Methods
Quantitative Methods
Quantitative Methods
Quantitative Methods
Linear Functions and Applications
Algebra: Graphs, Functions, and Linear Systems
1-2 Composition of Functions
Lesson 18 Finding Definite and Indefinite Integrals
3.10 Business and Economic Applications
Lesson 21 Other Applications of Integration
Relative Extrema Lesson 5.2.
Lesson 18 Finding Definite and Indefinite Integrals
סדר דין פלילי – חקיקה ומהות ההליך הפלילי
Lesson 9: Marginal Analysis
Lesson 10: Elasticity of Demand
MATH 1310 Section 4.2.
Warm up 8/12/14 Add or Subtract the Polynomials
Lesson 19 Numerical Integration
Lesson 22 Functions of Several Variables (Yes, you read that right!)

MATH 1310 Section 3.6.
Section 9.1 – Systems of Equations
MATH 1310 Section 2.8.
MATH 1310 Section 4.2.
You must show all steps of your working out.
Question 1.
MATH 1310 Section 2.8.
MATH 1310 Section 2.8.
MATH 1310 Section 3.6.
MATH 1310 Section 2.8.
MATH 1310 Section 4.3.
MATH 1310 Section 4.3.
Chapter 2 Limits and the Derivative
Presentation transcript:

Lesson 8: Break Even Analysis, Equilibrium Quantity/Price MATH 1314 Lesson 8: Break Even Analysis, Equilibrium Quantity/Price

Cost Functions:

Revenue Functions:

Profit Functions:

Example 1:

Break-Even Analysis

Example 2: Find the break-even point for the problem in Example 1. Command: Answer: P(x)= R(x)-C(x) Simplify(P(x)) intersect(C(x),R(x)) Root(P(x))

fitpoly(L,1)

fitpoly(L_1,1)

Popper 6: intersect(R(x),C(x))

Market Equilibrium:

intersect(D(x),S(x))

Intersect(d(x), s(x)) fitpoly(L,1) fitpoly(M,1)