Explanation Given: The maximum number of animals raised at a time is 16. The maximum number of goats raised at a time is 10. The cost to raise one goat is $25, and the cost to raise one pig is $75. The maximum cost available to raise the animals is $900. The profit gained from one pig is $40. The profit decreases from $40 to $35 for one pig raised. Explanation: The constraints as provided by the original problem are x + y ≤ 16 25 x + 75 y ≤ 900 x ≤ 10 x ≥ 0 y ≥ 0 The original objective function is z = 12 x + 40 y The graph of the linear inequalities as provided by the original solution is The optimal solution of the original problem is at the corner point ( 0 , 12 ) . Let the profit on one pig decrease from $40to $ ( 40 − c ) . The new objective function is z = 12 x + ( 40 − c ) y y = − 12 ( 40 − c ) x + z ( 40 − c ) The slope of the isoprofit lines for this objective function is − 12 ( 40 − c ) . The cost constraint inequality can be written as 25 x + 75 y ≤ 900 x + 3 y ≤ 36 The corresponding boundary line is x + 3 y = 36 y = − x 3 + 12 The slope of this boundary line is − 1 3

11th Edition

ISBN: 9780321979438

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

See similar textbooks

Concept explainers

Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …

Videos

Question

Chapter 3, Problem 2EA

To determine

The new optimal solution for the number of goats and the number of pigs raised by Lisa if the profit decreases from $40 to $35 for one goat raised.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 3, Problem 1EA

Chapter 3, Problem 3EA

Students have asked these similar questions

Vo)) %TV .. + 1 R2X2 2) slots per pole per phase = 3/31 B-180-60 msl Kol Sin () Isin () Kd تب بس بالفراغ i Cos (30) 0.866 4) Rotating ۳/۱ 5) Synchronous speed; 12 S=1000-950 50 1000 Copper losses: 5kw Rotor input 5 loo kw 0.05 6) I العنوان Which of the following is converge, and which diverge? Give reasons for your answers with details. When your answer then determine the series' convergence if possible. اذا ميريد شرح الكتب فقط ok 7) rotor ||| DC 11500 30tan¹() 2n=1' m²+1 1:11 > PV + 16°52 Which of the following is converge, and which diverge? Give reasons for your answers with details. When your answer then determine the series' convergence if possible. 7357 //Σm=1 (m²-5n+6) Lake Which of the following is converge, and which diverge? Give reasons for your answers with details. When your answer then determine the series' convergence if possible. - (3)(5+)) T d sove in peaper =T M

PROBLEM 1: A 12-lb rod ABC is impacted by a 2-lb object DE as shown. The object embeds into the end of the rod at point C, determine immediately after the impact (a) the angular velocity of the rod ABC, (b) the angular acceleration of the rod ABC, A 2 B Unit: ft (c) the components of the reaction at B. 12 Assume that the object and the rod move as a single body after the impact. Vo = 35 ft/s C E D 6

Please answer both questions clearly thanks

Chapter 3 Solutions

Finite Mathematics (11th Edition)

Ch. 3.1 - Graph each linear inequality. x + y 2 Ch. 3.1 - Graph each linear inequality. y x + 1 Ch. 3.1 - Graph each linear inequality. x 2 y Ch. 3.1 - Graph each linear inequality. y x 3 Ch. 3.1 - Graph each linear inequality. 4x y 6 Ch. 3.1 - Graph each linear inequality. 4y + x 6 Ch. 3.1 - Graph each linear inequality. 7. 4x + y 8 Ch. 3.1 - Graph each linear inequality. 2x y 2 Ch. 3.1 - Graph each linear inequality. x + 3y 2 Ch. 3.1 - Graph each linear inequality. 2x + 3y 6

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The new optimal solution for the number of goats and the number of pigs raised by Lisa if the profit decreases from $40 to $35 for one goat raised.

Solution Summary: The author determines the optimal solution for the number of goats and pigs raised by Lisa if the profit decreases from 40 to 35 for one goat raised.

Concept explainers

Videos

The new optimal solution for the number of goats and the number of pigs raised by Lisa if the profit decreases from $40 to $35 for one goat raised.

Want to see the full answer?

Chapter 3 Solutions