A soft drink bottler produces two presentations of its product, 500 ml and 2 liters. The total cost function per week is given by LaTeX: C=x^2+y^2-140x-80y+7000 where LaTeX: x and LaTeX: y are the thousands of units produced of 500 ml and 2 liter soft drinks respectively. The company decides to produce a total of 110 units. How many units of each type of soft drink should be produced so that costs are minimize

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question

1. A soft drink bottler produces two presentations of its product, 500 ml and 2 liters. The total cost function per week is given by LaTeX: C=x^2+y^2-140x-80y+7000 where LaTeX: x and LaTeX: y are the thousands of units produced of 500 ml and 2 liter soft drinks respectively. The company decides to produce a total of 110 units. How many units of each type of soft drink should be produced so that costs are minimize

2. A slide occupies the part of the disk: x^2+y^2 ≤ 1 in the first quadrant. Determine its mass if the density at any point is: ky.   

Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning