Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 11.8, Problem 41PS
To determine
To calculate:the water and fertilizer for maximum yield.
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1. A manufacturer produces two types of calculators, business calculators and scientific calculators. Each business calculator requires 3 circuit boards and 4 hours of assembly time while the scientific calculator requires 2 circuit boards and 1 hour of assembly time. The profit of each business calculator and scientific calculator are RM 12 and RM 20 respectively. The company produces its own circuit boards and the capacity is 60 perweek. Currently the company has 72 hours of assembly time per week. The demand for business calculator is at least 8 units per week. The company wishes to maximize the profit.a) Formulate the problem as a linear programming model.b) Solve the problem graphically. What is the maximum profit?
Problem 2
Bong Ga aspires to be the President of this country like its dad. It is now budgeting for its media
campaign. It will distribute its funds between political advertisements to be aired over television and
radio. It has been given the following advice by its campaign advisers:
• It should run at least 120 ads via television and at least 30 via FM radio.
• The number of TV ads it runs should be at least twice of the number of radio ads it runs but not
more than three times the number of radio ads.
The cost of a TV ad is Php 8,000 and the cost of a radio ad is Php 2,000. Use the simplex method
to solve this problem.
Required:
1. Linear Programming Model
2. Simplex Tables
3. Row Operations
4. Optimal Solution
5. Minimum Cost
Example 6: A farmer in Ontario has 100 hectares which he
wishes to fence as a rectangular field subdivided into two
smaller fields with a fence parallel to one of the sides.
What should the dimension be that will minimize the cost
of the fencing?
Chapter 11 Solutions
Calculus
Ch. 11.1 - Prob. 1PSCh. 11.1 - Prob. 2PSCh. 11.1 - Prob. 3PSCh. 11.1 - Prob. 4PSCh. 11.1 - Prob. 5PSCh. 11.1 - Prob. 6PSCh. 11.1 - Prob. 7PSCh. 11.1 - Prob. 8PSCh. 11.1 - Prob. 9PSCh. 11.1 - Prob. 10PS
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Publisher:Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Solve ANY Optimization Problem in 5 Steps w/ Examples. What are they and How do you solve them?; Author: Ace Tutors;https://www.youtube.com/watch?v=BfOSKc_sncg;License: Standard YouTube License, CC-BY
Types of solution in LPP|Basic|Multiple solution|Unbounded|Infeasible|GTU|Special case of LP problem; Author: Mechanical Engineering Management;https://www.youtube.com/watch?v=F-D2WICq8Sk;License: Standard YouTube License, CC-BY
Optimization Problems in Calculus; Author: Professor Dave Explains;https://www.youtube.com/watch?v=q1U6AmIa_uQ;License: Standard YouTube License, CC-BY
Introduction to Optimization; Author: Math with Dr. Claire;https://www.youtube.com/watch?v=YLzgYm2tN8E;License: Standard YouTube License, CC-BY