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Lunna [17]
1 year ago
10

a manufacturer makes two types of rubber, butadiene and polyisoprene. the plant has two machines, machine-1 and machine-2, which

are used to make the rubber strips. manufacturing one strip of butadiene requires 2.75 hours on machine-1 and 3 hours on machine-2. processing one strip of polyisoprene takes 3.5 hours on machine-1 and 4 hours on machine-2. machine-1 is available 180 hours per month, and machine-2 is available 200 hours per month. formulate an all-integer mathematical model that will determine how many units of each type of rubber should be produced to maximize profits if the profit contributions of butadiene and polyisoprene are $20 and $26, respectively.
Business
1 answer:
nignag [31]1 year ago
4 0

The all-integer model that determines how many units of each type of rubber should be produced to maximize profits is given by:

  • Maximize: P(x,y) = 20x + 26y.
  • Constraint 1: 2.75x + 3.5y ≤ 180.
  • Constraint 2: 3x + 4y ≤ 200.
  • Constraint 3: x ≥ 0, y ≥ 0.

<h3>How to maximize profit?</h3>

The profit is maximized using linear programming, for a system of equalities/inequalities, in which the variables are given as follows:

  • Variable x: number of units of butadiene produced.
  • Variable y: number of units of polyisoprene produced.

The profit contributions of butadiene and polyisoprene are $20 and $26, hence the profit function is defined as follows:

P(x,y) = 20x + 26y.

The number of units is a countable amount, hence the values of x and y should be positive, and the constraint is of:

x ≥ 0, y ≥ 0.

Machine-1 is available 180 hours per month, hence the constraint relative to machine-1, considering the time needed for each unit, is of:

2.75x + 3.5y ≤ 180.

Machine-2 is available 200 hours per month, hence the constraint relative to machine-2, considering the time needed for each unit, is of:

3x + 4y ≤ 200.

More can be learned about linear programming at brainly.com/question/14309521

#SPJ1

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Rzqust [24]

Answer:

The annual worth of the overhead costs for 7 year-period is

A = $389743.42.

<em>Then the time value of the annual worth is discounted by 8%</em>

∴  $389743.42 x 0.08 = $31179.47.

Explanation:

Using the formula

A = P(1 + r/n){nt}

Where:

A = ?

t = 7

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r = 10%

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TVM =8%

∴ A = $200,000.00(1 + 0.10/1){1 * 7}

A = $200,000.00(1.10){7}

A = $200,000.00(1.9487171)

A = $389743.42

<em>Then the time value of the annual worth is discounted by 8%</em>

∴  $389743.42 x 0.08 = $31179.47

8 0
3 years ago
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The shareholders' equity of Green Corporation includes $232,000 of $1 par common stock and $430,000 par of 7% cumulative preferr
dalvyx [7]

Answer:

$8,700

Explanation:

Dividends payable to preferred shareholders = [($430,000*7%)*2 - ($23,000*2)] + ($430,000*7%)

Dividends payable to preferred shareholders = [$60,200 - $46,000] + $30,100

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Dividend available to common shareholders = Total dividend - Dividends payable to preferred shareholders

Dividend available to common shareholders = $53,000 - $44,300

Dividend available to common shareholders = $8,700

So, the amount of dividends common shareholders will receive in 2021 is $8,700.

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3 years ago
In expanding into foreign markets, a company can strive to gain competitive advantage (or offset domestic disadvantages) by
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Here's the options that completes the question:

A. building a state-of-the-art facility to fully capture scale economies via an export strategy.

B. using export, licensing, or franchising strategies so as to minimize risk and capital investment.

C. locating buyer-related activities in all countries where it sells its product.

D. dispersing its activities among various countries in a manner that lowers costs or else helps achieve greater product differentiation and transferring competitively valuable competencies and capabilities from its domestic operations to its operations in foreign markets.

E. avoiding the use of strategies that entail coordinating its domestic strategic moves with its strategic moves in the various foreign markets that it enters.

Answer:

D. dispersing its activities among various countries in a manner that lowers costs or else helps achieve greater product differentiation and transferring competitively valuable competencies and capabilities from its domestic operations to its operations in foreign markets

Explanation:

A key condition that makes a firm achieve competitive advantage or a favourable business position is it's costs and product design.

If a firm can lower it's cost in a foreign market while also maintaining quality just as it is has done in it's domestic market then it stands a better chance of success.

For example, if a firm in the clothing line industry decides to expand its operations to a foreign market eg Africa.

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A likely analytical procedure to test the accuracy of purchase discounts would be to compute the ratio of cash discounts earned
NikAS [45]

A likely analytical procedure to test the accuracy of purchase discounts would be to compute the ratio of cash discounts earned to : Purchase

<h3>What is Purchase Discount?</h3>

Purchase discount is deducted to the total purchases when computing for the net purchases. This account has a normal balance of credit and decreases the total amount of cost of goods sold.

<h3>What is Analytical procedures ?</h3>

Analytical procedures refer to study of significant ratios and past trends and investigating unusual fluctuations.

Under analytical review procedures, an auditor compares financial information of the current period with those of the previous periods, applying techniques of ratio analysis and investigating the causes of unusual fluctuations and deviations.

Therefore, we can conclude that the correct option is C.

Your question is incomplete, but most probably your full question was:

A likely analytical procedure to test the accuracy of purchase discounts would be to compute the ratio of cash discounts earned to:

a. accounts payable

b. notes payable

c. purchases

d. sales discounts

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<h3>What is market segmentation?</h3>

Market segmentation is to pinpoint specific customer groups so that merchandise and branding can be tailored to appeal to them. There are many different ways to segment markets, including geographically, demographically, or behaviorally.

<h3>What is Demographic segmentation marketing?</h3>

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The importance of Demographic segmentation marketing are-

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