Question: In a linear programming problem, the binding constraints for the optimal solution are 5X + 3Y 30 2X + 5Y 20 a. Fill

In a linear programming problem, the binding constraints for the optimal solution are 5X + 3Y ≤ 30 2X + 5Y ≤ 20

a. Fill in the blanks in the following sentence: As long as the slope of the objective function stays between _______ and _______, the current optimal solution point will remain optimal.

b. Which of these objective functions will lead to the same optimal solution?

1) 2X + 1Y

2) 7X + 8Y

3) 80X + 60Y

4) 25X + 35Y

Step by Step Solution

★★★★★

3.46 Rating (153 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Lets approach the problem step by step Step 1 Understanding Binding Constraints The binding constraints for the optimal solution are given as two line... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (2 attachments)

6096d6e29311d_27243.pdf

180 KBs PDF File

6096d6e29311d_27243.docx

120 KBs Word File

Students Have Also Explored These Related Mathematics Questions!

A linear programming problem has an objective function z = 3x + 5y and an infinite number of optimal solutions that lie on the line segment connecting two points. What is the slope between the points?

In a linear programming problem, the activity levels in a market equilibrium maximise profits relative to: i) all nonnegative activity levels ii) all activity levels iii) only those activity levels...

A linear programming problem contains a restriction that reads "the quantity of X must be at least twice as large as the quantity of Y." Formulate this as a linear programming constraint.

In a linear programming problem, the binding constraints for the optimal solution are: 5 x + 3 Y 3 0 2 x + 5 Y 2 0 \ table [ [ a . Fill in the blanks in the following sentence: ] , [ As long as the...

1 9 In a linear programming problem, the binding constraints for the optimal solution are: 5 x + 3 Y 3 0 . ) + 5 Y 2 0 As long as the slope of the objective function stays between current optimal...

BUS2 190 Quantitative Business Analysis, Spring 2016 Homework 7 Enter your answers to Canvas. Avoid rounding errors between steps. Round your nal answers to 4 decimal places as needed. 7.1. True of...

I 14. Consider the following linear programming problem and use this graph to answer the questions. (25 pts) Max 2x + 4y st 2x + 2Y S6 X-2Y 20 YSI X,Y 20 a. Use a graph to show each constraint and...

Consider the following linear programming Problem P: Minimize X Subject to -2x (1) X + x, 15 (2) +2x, (3) 10 10 *, unconstrained in sign 20 Let the slack of constraint (1) and (2) be xand X...

The Hawaiian Nut Company (HNC) makes four different products from macadamia nuts grown in the Hawaiian Islands: chocolate-coated whole nuts (Whole), chocolate-coated nut clusters (Clusters),...

uantitative Analysis BA 452 Homework 3 Questions Homework 3 covers the theory and applications in Lessons I-6 and I-7. This document has four parts: Objectives of doing your homework. Assignment of...

Byrd Enterprises has no debt. Its current total value is $49.8 million. Assume debt proceeds are used to repurchase equity. Ignoring taxes, what will the companys value be if it sells $19.8 million...

A pony, tied to the end of a lead, can walk in a full circle, a distance of 56.55 meters. About how long is its lead? A. 28.3 meters B. 18.0 meters C. 9.0 meters D. 7.5 meters

2. For an idealized slipper-pad bearing, the bottom wall moves at a constant velocity U and the upper block is fixed. Both the moving and fixed walls are non- permeable. If the velocity within the...

4. The monthly profits of Hi-Mark corporation were organized into a frequency distribution. The mean of monthly profits was computed to be $105 600, the median $104 700, and the mode $104 200. (a)...

Ralph Young was a commercial tour boat operator on the northern coast of Kauai, Hawaii. He was licensed by the state of Hawaii to operate his boat in Hanalei Bay. The U . S . Department of...

A stainless-steel bar is heat up to 1400K and cooldown to improve the hardness of the metal is removed from an furnace and cool down by immersing it in 15 kg of water at 27C. appropriate constant...

An investor in Treasury securities expects inflation to be 2.5% in Year 1, 3.1% in Year 2, and 4.25% each year thereafter. Assume that the real risk-free rate is 2.15% and that this rate will remain...

Independent random samples of sizes n1 = 30 and n2 = 50 are taken from two normal populations having the means 1 = 78 and 2 = 75 and the variances 21 = 150 and 22 = 200. Use the results of Exercise...

Rank the following stocks in decreasing order of risk-to-reward preference for an investor: Stock A: Historically generated the following rates of return over the past 6 years: 12%, 18%,-6%,11%,2%,...

What benefits can be gained by allowing a manager to participate in developing the performance measures that will be used to assess that manager's performance?

Sheridan Shacks makes portable garden sheds that sell for $1,800 each. Costs are as follows: a. How many garden sheds must the company sell to break even? b. If Sheridan Shacks management wants to...

In many organizations, the operating budget is the primary control tool. The use of a budget to control activities is more appropriate in some circumstances than in others, and always a key criterion...

How useful is URT when it comes to examining communication across cultures? What do you think of the extensions that have been made to URT to make it apply to intercultural Communication?

Give an example of two attitudes you hold that have an irrelevant relationship to each other. Cite two consonant attitudes you hold. Do you have any attitudes that are dissonant with each other? If...

Some critics have charged that Social Penetration Theory focuses too much on self-disclosure. Others, however, contend that self-disclosure forms the basis of most intimate relationships. What do you...