Profit From Sale of Pagers A division of Chapman Corporation manufactures a pager. The weekly fixed cost for the division is $20,000, and the variable cost for producing x pagers/week is
V(x) = 0.000001x3 − 0.01x2 + 50x
dollars. The company realizes a revenue of
R(x) = −0.02x2 + 150x (0 ≤ x ≤ 7500)
dollars from the sale of x pagers/week.
To find: The total cost function.
The weekly fixed cost is .
The variable cost to produce pagers/week by Chapman Corporation is,
The revenue function is,
The cost function is the sum of variable cost and the fixed cost.
To find: The total profit function.
To find: The profit for the company when 2000 units are produced and sold each week.
Calculus: Early Transcendentals
Calculus: An Applied Approach (MindTap Course List)
Calculus: Early Transcendental Functions
Single Variable Calculus: Early Transcendentals, Volume I
Calculus (MindTap Course List)
Finite Mathematics and Applied Calculus (MindTap Course List)
Precalculus: Mathematics for Calculus (Standalone Book)
Understanding Basic Statistics
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Essentials Of Statistics
Statistics for The Behavioral Sciences (MindTap Course List)
Single Variable Calculus
Mathematical Applications for the Management, Life, and Social Sciences
Probability and Statistics for Engineering and the Sciences
Mathematical Excursions (MindTap Course List)
Single Variable Calculus: Early Transcendentals
Elements Of Modern Algebra
Elementary Geometry For College Students, 7e
Trigonometry (MindTap Course List)
Elementary Technical Mathematics
Contemporary Mathematics for Business & Consumers
Calculus: Early Transcendental Functions (MindTap Course List)
Calculus of a Single Variable
Elementary Geometry for College Students
Finite Mathematics for the Managerial, Life, and Social Sciences