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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

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The result of the increase in the rate of change in the business environment from causes such as natural disasters and global co
Anettt [7]

Answer:

The correct answer is: change more quickly than ever before.

Explanation:

Changes appear in the world day by day faster. In the business field, the ability to adapt has become a <em>competitive advantage </em>for firms because the capacity they have to face different scenarios such as the implementation of <em>new technology, political stress </em>or <em>natural disasters</em> has gotten more importance. If companies want to survive these situations, they have to come up with a contingency plan.

4 0
3 years ago
Which interest-bearing account is best for people who won't need access to their money for several months or longer?
Alecsey [184]
The answer is A. 
CD(<span>Certificate of Deposit)</span> is similar to a saving account, but it has additional perks. There is a minimum amount of money you have to deposit and you have to deposit that money for a certain amount of time (term). CDs have better interest rate than savings accounts, but if you withdraw your money before the term you pay penalties.
This makes them a good option for people have some extra money that they won't need in a near future.
3 0
3 years ago
Derk owns 250 shares of stock in Rose Corporation. The remaining 750 shares of Rose are owned as follows: 150 by Derk’s daughter
Mama L [17]

Answer:

720 shares

Explanation:

Given that,

Derk owns = 250 shares of stock in Rose Corporation

750 shares of Rose are owned as follows:

Derk’s daughter owns = 150

Derk’s aunt = 200

Shares in the partnership holding:

= 400 shares × Interest

= 400 shares × 80%

= 320 shares

Therefore,

Number of shares Derk owns in Rose Corporation:

= Own shares + Daughter's shares + Shares in the partnership holding

= 250 + 150 + 320

= 720

5 0
3 years ago
Helen spent the last 85 days of 2020 in a nursing home. The cost of the services provided to her was $27,625 ($325 per day). Med
Vsevolod [243]

Answer:

Amount included in gross income of Helen is $0.

Hence, There will be no effect upon the gross income of Helen.

Explanation:

Data Given:

Number of Days Helen Spent = 85 days

Cost of the services = $27,625

Medicare Paid = $8400

Benefits received = $15440

Assumption: Federal Daily Excludible amount = $380

Solution:

Daily Statutory  amount = Daily Excludible amount x number days spent

Daily Statutory  amount =  $380 x 85 days

Daily Statutory  amount = $32300

We know that,

Amount of Medicare Paid = $8400

So, now we need to calculate the amount of exclusion first.

1. Amount of Exclusion = cost of the services - Medicare paid

Amount of Exclusion = $27625 - $8400 = $19225

So, now we calculate the amount included into the gross income of Helen.

2. Amount included in gross income = Benefits Received - Amount of Exclusion

Amount included in gross income =  $15440 - $19225

Amount included in gross income = -$3785

Here, we will not cater the negative, which means that amount included in gross income of Helen is $0.

Hence, There will be no effect upon the gross income of Helen.

5 0
3 years ago
Crusher Company has provided the following data for maintenance cost:
Firdavs [7]

Answer:

Total Fixed Cost: $13,020

Explanation:

Fixed cost is calculated using high low method.

High low method seeks to find variable cost per hour / unit by dividing the difference of cost (total cost at two levels) with difference of activity level. Than variable cost is reduced from total cost to identify the fixed cost. Below is the calculation:

Current year cost: $ 37,850        Current year machine hours: 19,100

Prior year cost:      $ 33,300        Prior year machine hours:     15,600

Variable cost per machine hour = <u>Current year cost - Prior year cost</u>

                                      Current year machine hour - prior year machine hour

Variable cost per machine hour: <u>37,850 - 33,300</u> = $1.30 per machine hour

                                                       19,100 - 15,600

Variable cost current year: ($1.30 * 19,100) = $24,830

Variable cost prior year: ($1.30 * 15,600) = $20,280

Fixed cost: Total cost - variable cost

Fixed cost current year: 37,850 - 24,830 = $13,020

Fixed cost prior year:     33,300 - 20,280 = $13,020

7 0
3 years ago
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