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velikii [3]
3 years ago
12

The assumption that is necessary for a linear programming model to be appropriate and that ensures that the value of the objecti

ve function and the total resources used can be found by summing the objective function contribution and the resources used for all decision variables is known as
a. additivity.
b. divisibility.
c. negativity.
d. proportionality.
Business
2 answers:
vitfil [10]3 years ago
7 0

Answer:

Additivity.

Explanation:

Linear programming is defined as a process by which optimisation of a system of linear contraints and a linear objective function occurs.

Linear programming is based on four assumptions: additivity, certainty, proportionality, and divisibility.

Additivity assumption of linear programming states that the total profit of a linear function is made up of summation of profit of each product seperately. In a similar way the total resources used can be found by summing the objective function contribution and the resources used for all decision variables.

Elan Coil [88]3 years ago
5 0

Answer:

A. Additivity

Explanation:

Additivity simply means that the values of an objective function and total resources used can be found by adding all the contributions made by the objective functions and the decision variables of all resources used. That is, it assumes that the overall of an objective function is found by adding the contribution of each objective function to the overall. In additivity, interaction between variables doesnt exist.

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Answer:The Pet Company has recently discovered a type of rock which, when crushed, is extremely absorbent. It is expected that the firm will experience (beginning now) an unusually high growth rate (20%) during the period (3 years) when it has exclusive rights to the property where this rock can be found. However, beginning with the fourth year the firm's competition will have access to the material, and from that time on the firm will assume a normal growth rate of 8% annually. During the rapid growth period, the firm's dividend payout ratio will be relatively low (20%), to conserve funds for reinvestment. However, the decrease in growth will be accompanied by an increase in dividend payout to 50%. Last year's earnings were $2.00 per share (E0) and the firm's cost of equity is 10%. What should be the current price of the common stock?

Explanation:

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3 years ago
The Whistling Straits Corporation needs to raise $72 million to finance its expansion into new markets. The company will sell ne
Alisiya [41]

Answer:

1,390,718 shares

Explanation:

Amount to be raise = $72 million

Underwriters charges = 5%

Filling Fee = $700,000

After deducting the underwriters charges the amount remains 95% of the total value. The company needs to raise exact $72 million after all charges deducted so, will take this amount as 95% of the total and gross up this value to 100%.

Total Amount to be raised = Amount including the underwrites charge + Filling charge = ( $72,000,000 / 100% - 5% ) + $700,000 = $76,489,474

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8 0
3 years ago
Orchard Farms has a pretax cost of debt of 7.29 percent and a cost of equity of 16.3 percent. The firm uses the subjective appro
svp [43]

Answer: Net present value =  $446,556

Explanation:

First we'll compute the Weighted Average Cost of Capital :

Weighted Average Cost of Capital = K_{e} \times W_{e} + K_{d} \times W_{d}

= 0.163×\frac{1}{1.48} + 0.0729× (1 - 0.35 )× \frac{0.48}{1.48}  

= 0.1255

where;

K_{e} = Cost of equity

W_{e} = Proportion of equity

K_{d} = Cost of debt

W_{d} = Proportion of debt

Now, we'll compute the cost of capital using the following formula:

Cost of capital = Weighted Average Cost of Capital + adjustment factor

= 0.1255 + 0.0125

= 0.138 or 13.8%

∴ Net present value = Cash outflows - Total PV of cash flows

= $3,900,000 - $1,260,000 (Annuity value of 13.8% for 5 years)

= 3,900,000 - 1260000 \times \frac{[1-(1+13.8)^{-5}]}{13.8}

= $3,900,000 - $3,453,444

= $446,556

Therefore, the correct answer is option(b).

5 0
3 years ago
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Can show the tables?
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2 years ago
Pretzelmania, Inc., issues 6%, 10-year bonds with a face amount of $63,000 for $58,523 on January 1, 2018. The market interest r
Mamont248 [21]

Answer:

Please refer to the below for Journal entries

Explanation:

The journal entries are seen below

1. Cash A/c Dr $58,523

Discount on bond payable A/c Cr $4,477

To bonds payable A/c Cr $63,000

(Being the issuance of bond that is recorded)

2. Interest expense A/c Dr $2,048

To discount payable A/c Cr $158

To cash A/c Cr $1,890

(Being the first interest payment that is recorded)

Note:

Interest expense

= $58,523 × 7% × 6 months ÷ 12

= $2,048

Cash

= $63,000 × 6% × 6 months ÷ 12

= $1,890

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3 years ago
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