All categories

2 years ago

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

Juggernaut Satellite Corporation earned $19.6 million for the fiscal year ending yesterday. The firm also paid out 30 percent of

grandymaker [24]

Answer:

The required rate of return on the stock is 12.55%

Explanation:

According to the given data we have the following:

The Company is distributing 30% of its earnings as dividends

Therefore, company is retaining = 100-30 = 70% of its earnings

Growth = Retention ratio * ROE = 0.7*0.14 = 9.8%

Earning = 19.6 million

hence, Paid as dividends = 19.6*0.3 = $5.88 million

The Number of shares outstanding = 2.8 million

hence, Dividend per share = Total dividends / number of shares outstanding = 5.88/2.8 = $2.1

Current stock price = $84

Therefore, to calculate the required rate of return on the stock we would have to use the following formula:

Price of stock = Current dividend*(1+growth)/(r-growth), where r is required rate of return

84 = 2.1*(1.098)/(r-0.098)

40 = 1.098/(r-0.098)

r - 0.098 = 0.02745

r = 0.02745+0.098 = 0.12545

The required rate of return on the stock is 12.55%

4 0

3 years ago

_____ can be a difficult problem for many international managers, who often come from advanced economies and believe that their

hichkok12 [17]

Answer:

Ethnocentrism

Explanation:

Ethnocentrism occurs when someone judges the culture of others by their own perspective and values, judging in a derogatory way the cultural identity of other peoples. When an international manager takes an ethnocentric stance, he is reaffirming stereotypes about some culture that are often loaded with prejudice to mark people or places based on some trait. In this matter, the manager adopted a negative and problematic posture, because in addition to advanced technology, each culture has a particular way of expressing, consuming, acting and understanding. Therefore, disregarding the characteristics and perspectives of a different culture, the insertion and development of some business strategy will not be effectively directed.

6 0

4 years ago

Prepare the journal entry to record bad debt expense assuming Windsor Company estimates bad debts at (a) 4% of accounts receivab

Hitman42 [59]

Answer:

DR. CR.

(a)

Bad Debt Expense $2,000

Allowance for Doubtful Accounts $2,000

(b)

Bad Debt Expense $5,420

Allowance for Doubtful Accounts $5,420

Explanation:

Allowance for Doubtful Accounts forthe year = Closing Account receivable x Rate of Allowance = $100,000 x 4% = $4,000

Allowance for Doubtful Accounts already has credit balance of $2,000 sot he net value of $2,000 ($4000- $2000) is adjusted in the journal entry.

As the Allowance for Doubtful Accounts already had debit balance of $1,420but we have to make it as $4,000 credit balance because this is the contra asset account which normally has credit balance.

Adjustment amount = $4,000 + $1,420 = $5,420

* The data was missing in the question which is as follow

Duncan Company reports the following financial information before adjustments.

Dr. Cr.

Accounts Receivable $100,000

Allowance for Doubtful Accounts $2,000

Sales Revenue (all on credit) $900,000

Sales Returns and Allowance $50,000

5 0

3 years ago

Describe some methods to deal with disappointment in the workplace.

Elan Coil [88]

Answer:

Take a sec to recuperate and get yourself together and evaluate what you did wrong and try and laugh it off, I don't mean not to take it seriously but don't get down on yourself about it.

Explanation:

5 0

3 years ago

In about 2003, day spas, chain whitening franchises, and other businesses began to offer teeth whitening. Dentists began complai

DochEvi [55]

Answer: D

By the way, option C is equal to option B because there's no new information in C

Explanation:

This is business. Looking at the agitation of the Dentists and the Dental board, you can see that if the dentists didn't speak up they would have less number of patients or clients once the other business start offering teeth whitening services to people.

Dentists are medical practitioners, yes, but they earn from treating people with teeth problems or issues.

Statement D hence portrays the mindset of the dentists and the dental board

8 0

3 years ago