1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AnnZ [28]
2 years ago
14

2. Max z = 3X1 + 5X2+ 4X3 S.t.2X1 +3X2 ≤ 18 2X1 + X2 ≤ 10 3X1 + 2X+4X3 ≤ 15 X1, X2, X3 ≥ 0

Business
1 answer:
lions [1.4K]2 years ago
7 0

The interpretation of the result is that the maximum value of the objective function is 29

<h3>How to solve and interpret the result?</h3>

The objective function is given as:

Max z = 3x₁ + 5x₂+ 4x₃

The constraints are:

2x₁ +3x₂ ≤ 18

2x₁ + x₂ ≤ 10

3x₁ + 2x₂ +4x₃ ≤ 15

x₁, x₂, x₃ ≥ 0

Subtract the second inequality from the first

2x₁ - 2x₁ + 3x₂ - x₂ ≤ 18 - 10

Evaluate the like terms

2x₂ ≤ 8

Divide by 2

x₂ ≤ 4

Substitute 4 for x₂ in 2x₁ +3x₂ ≤ 18

2x₁ +3*4 ≤ 18

This gives

2x₁ + 12 ≤ 18

Evaluate the like terms

2x₁ ≤ 6

Divide by 2

x₁ ≤ 3

Substitute 4 for x₂ and 3 for x₁ in 3x₁ + 2x₂ +4x₃ ≤ 15

3*3 + 2*4 +4x₃ ≤ 15

This gives

17 +4x₃ ≤ 15

Evaluate the like terms

4x₃ ≤ -2

Divide by 4

x₃ ≤ -0.5

From the constraints, we have:

x₁, x₂, x₃ ≥ 0

So, we set all negative values to 0

This means that:

x₃ ≤ 0

Substitute these values in the objective function

Max z = 3 * 3 + 5 * 4 + 4 * 0

Evaluate

Max z = 29

Hence, the interpretation of the result is that the maximum value is 29

Read more about objective functions at:

brainly.com/question/11206462

#SPJ1

You might be interested in
Does it matter how often banks charge interest?
vekshin1

Answer:Basically no

Interest is charged on a monthly basis in the form of a finance charge on your bill. If you have a revolving balance, you will lose that 21-day interest-free grace period on purchases.

8 0
3 years ago
HR Professional Ethics
zmey [24]

Answer:

The communication and education strategies Will be my guidelines in achieving my goals

Explanation:

With the right knowledge of effective communication, in the areas of individual and group communication respectively, I will be able to effectively harness proposes plans and goals that awaits me as a HR professional. Secondly, with a sound understanding of educational tools which are inevitable in Management - Subordinate relationship, I will also be able to channel my focus to various results oriented trainings for various categories of workers.

Three Ethical challenges HR encounters

1. communication gap: This is the most difficult issues a HR can encounter. Some employer relegate the role if an HR to a mere admin manager, neglecting the fact that every employee wishes to be involved in the basic operations of the organisation. With a clear communication policy, such can be managed.

2. Gender differences: Some men teds to be bullies to their female counterpart at same level. A professional HR will always have a policy on discrimination.

3. Compensation and rewards: getting the approval and consent of other management team can be dicing as a HR professional. Organizing an award and recognition program can manage most if these challenges.

5 0
3 years ago
All of Gaylord Corporation's sales are on account. Thirty-five percent of the sales on account are collected in the month of sal
solmaris [256]

Answer: $51,000

Explanation:

Thirty-five percent of the sales on account are collected in the month of sale, 45% in the month following sale, and the remainder are collected in the second month following sale.

In March therefore, the cashflow will consist of;

35% of March sales

45% of February sales

20% of January sales

= (35% * 40,000) + (45% * 60,000) + (20% * 50,000)

= 14,000 + 27,000 + 10,000

= $51,000

7 0
3 years ago
Suppose there are two classes, with 30 students in each class. in both classes, the students are individually playing little pig
gladu [14]
Sorry, I don't get the quiestion.
4 0
3 years ago
Total (10 marks) QUESTION TWO Amani Ltd. Manufacturers a single product. Currently, the company has eight employees who produce
rewona [7]
Since the unsigned is 3000 it’s
5 0
2 years ago
Other questions:
  • Unemployment insurance makes workers _____ likely to negotiate for job security when searching for a job and _____ likely to hav
    9·1 answer
  • What would be the normal balance (debit or credit) of inventories if the 2017 woolworths balance sheet says that the value of in
    6·1 answer
  • What is the proper sequence of steps when developing goals?
    10·1 answer
  • What box is it please answer if u know :)
    14·1 answer
  • Choose the behaviors that are exhibited by someone who is using critical thinking.
    12·1 answer
  • A company maintains its records using accrual basis accounting; however, their accountant wants to create a statement of cash fl
    7·1 answer
  • In a free enterprise system, consumers choose their occupations and decide where
    8·2 answers
  • Dunstreet's Department Store would like to develop an inventory ordering policy of a 90 percent probability of not stocking out.
    6·1 answer
  • A graphical view of balanced-budget fiscal policy Suppose the government enacts a "balanced budget" change in fiscal policy by i
    11·2 answers
  • jane, a partner in a cpa firm, borrows $100,000 on a secured note from one of her firm's audit clients to pay for house renovati
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!