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
You are an economist studying the small country of Mardodus. As you look at the data, you see Mardodus has experienced an influx
WINSTONCH [101]

Answer: Natural rate of unemployment will decrease because the productivity growth in the short term has passed up wage growth.

Explanation:

The natural unemployment rate simply means the lowest unemployment rate where the inflation in the economy is stable.

Based on the information given in the question, if the natural unemployment rate for this time frame.is analyzed, the natural rate of unemployment will reduce due to the fact that the productivity growth in the short term has passed up wage growth.

3 0
3 years ago
On May 1, 2021, Meta Computer, Inc., enters into a contract to sell 5,500 units of Comfort Office Keyboard to one of its clients
madam [21]

Answer:

A. 2

B. May 1, 2021

Dr Cash $94,600

Cr Deferred revenue $89,870

Cr Deferred revenue-coupons $4,730

C. May 1, 2021

Dr Cash $94,600

Cr Deferred Revenue $94,600

Explanation:

A. Based on the information given the numbers of PERFORMANCE OBLIGATIONS that are in this contract is 2 which are:

KEYBOARD and CUSTOMER OPTION FOR FUTURE DISCOUNT

B. Preparation of the journal entry that Meta would record on May 1, 2021.

May 1, 2021

Dr Cash $94,600

Cr Deferred revenue $89,870

($94,600-$4,730)

Cr Deferred revenue-coupons $4,730

(5%*$94,600)

C. Preparation of the journal entry that Meta would record on May 1, 2021

May 1, 2021

Dr Cash $94,600

Cr Deferred Revenue $94,600

8 0
3 years ago
Q 2.16: according to the historical cost principle, if an asset costs $50,000 when it was purchased, it would be recorded at its
liq [111]
According to the historical cost principle, if an asset costs $50,000 when it was purchased, and the one who purchased it still owns the asset today, it will have a higher value than $50,000. If the interest rate is assumed to be 5% for 5 years, the asset will be recorded as $63,814.08.
4 0
3 years ago
In the United States, the money supply is determined: A) only by the Fed. B) only by the behavior of individuals who hold money
Thepotemich [5.8K]

Answer: Joint by the FED and by the behavior of individuals who hold money and of banks which money is held.

Explanation: The Federal Reserve System, often referred as the Federal reserve or simply "the fed", is the central bank of the united states. It was created by the congress to provide the nation with a safer, more flexible, and more stable monetary and financial system. The FED was created on December 23, 1913, when president Woodrow Wilson signed the FEDERAL RESERVE ACT into law. The Fed and the behavior of individuals not only define how much money are available, they can also define macroeconomic indicators like inflation.

8 0
3 years ago
LO 2.2Explain the differences among fixed costs, variable costs, and mixed costs.
hjlf

Answer:

Explanation:

There are primarily two types of costs, i.e. variable costs and fixed costs. The variable cost is the cost that varies when the level of production changes, whereas the fixed cost is the cost that remains constant, whether the level of production changes or not.

Therefore, indirect material indirect labor, and factory supplies are included in the variable costs, and the fixed costs include supervision taxes and depreciation expenses.

The mixed cost is a mix combination of both the variable cost and the fixed cost which includes some components of fixed cost and some components of variable cost. It is also known as semi-variable cost

Example - transportation cost, tel communication cost, etc

7 0
3 years ago
Other questions:
  • Which of the following is a service-based business? (Select the best answer.)
    8·1 answer
  • A deed where the grantor warrants against (and agrees to defend against) title defects and encumbrances that arose after she acq
    12·1 answer
  • In ___________, salespeople are independent contractors who not only sell the product, but also recruit additional salespeople.
    9·1 answer
  • Causes of child labor
    6·2 answers
  • Cusic Music Company is considering the sale of a new sound board used in recording studios. The new board would sell for $24,200
    14·1 answer
  • ABC Retail stocks and sells its own brand of personal computers. It costs the firm $600 each time it places an order with a manu
    9·1 answer
  • What are the six stages of the product adoption process?
    8·1 answer
  • The GATT agreement was replaced by the World Trade Organization.
    10·1 answer
  • I make 100,000 a day but i need more how can i get more without customers getting mad??
    9·1 answer
  • A particle is moving along a projectile path at an initial height of 160 feet with an initial speed of 144 feet per second. this
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!