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Arada [10]
3 years ago
15

The WorldLight Company produces two light fixtures (products 1 and 2) that require both metal frame parts and electrical compone

nts. Management wants to determine how many units of each product to produce so as to maximize profit. For each unit of product 1, 1 unitof frame parts and 2 units of electrical components are required. For each unit of product 2, 3 units of frame parts and 2 units of electrical components are required. The company has 200 units of frame parts and 300 units of electrical components. Each unit of product 1 gives a profit of $2, and each unit of product 2, up to 70 units, gives a profit of $4. Any excess over 60 units of product 2 brings no profit, so such an excess has been ruled out. Formulate a linear programming model for this problem. Use the graphical method to solve this model. What is the resulting total profit?

Business
1 answer:
Deffense [45]3 years ago
4 0

Answer:

Explanation:

a) x1 = number of unit product 1 to produce , and

x2 number of unit product 2 to produce

A linear program that will maximize world light profit is the following

maximize x_1+2x_2 subject to x_1+3x_2\leq 200

2x_1+2x_2\leq 300\\\\x_2\leq 60\\\\x_1\geq 0\\\\x_2\geq 0

Unit 1 is used both in products in 1 : 3 ratio which can be a maximum of 200 unit 2 is used in 2 : 2 ratio which can be maximum of 300

So, this can be written as the inequations

Profit functio is p = 0ne dollar on product A and two dollar on product B

= x + 2y

Now , we find a feasible area whose extremeties will give the maximum profit for, the  graph is ( see attached file )

So on the graph, we can get the other extremeties of the shaded regional so which will not give maximum profit ,

Thus , the maximum possible profit is

p = ($1 * 125) + ($2 * 25)

= $175

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Answer:

Laura should focus on purchasing Index Mutual Funds and Exchanged-Traded Funds.

Explanation:

Laura should, amongst many investments’ options, focus on two particular types of investments: the first one is called index mutual funds, which have a much lower fee than mutual funds, giving the investor an investment with lower cost while having a fund that works in many ways equal to mutual funds. The second one should be exchange-traded funds, particularly because those funds are based on commissions, making it possible to charge lower fees than mutual funds.

5 0
3 years ago
The type of production that does not concern itself with customer preferences, but instead focuses on making a large number of a
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A type of production that focuses on making a large number of a few products rather than customer preferences is called mass production.

<h3>What is mass production?</h3>

Mass production is also referred to as continuous production or flow production and it can be defined as a type of production that focuses on manufacturing large quantities of a standardized product and it doesn't concern itself with customer preferences.

This ultimately implies that, mass production is mainly focused on making a large number of a few products rather than being focused on customer preferences. Also, the production is usually in a constant flow and automated by a mechanical process.

Read more on mass production here: brainly.com/question/744854

3 0
2 years ago
A business owner makes 50 items by hand in six hours. She could have earned $10 an hour working for someone else. If each item s
ElenaW [278]

Answer:

Please see attachment.

Explanation:

5 0
3 years ago
Mark and Kate are establishing a fund for their son's college education. They would like $60,000 in the fund at the end of 10 ye
katen-ka-za [31]

Answer:

The lump sum amount to be deposited should be $27,020.67

Explanation:

Data provided in the question:

Future value = $60,000

Time, t = 10 years

Interest rate, r = 8% = 0.08

Compounded monthly i.e number of periods n = 12

Now,

Future value = Amount deposited ×  \left( 1 + \frac{r}{n} \right)^{\Large{n \times t}}

Therefore,

on substituting the respective values, we get

$60,000 = Amount deposited ×  \left( 1 + \frac{0.08}{12} \right)^{\Large{12 \times 10}}

or

$60,000 = Amount deposited × ( 1.00667 )¹²⁰

or

$60,000 = Amount deposited × 2.220522

or

Amount deposited = $60,000 ÷ 2.220522

or

Amount deposited = $27,020.67

Hence,

The lump sum amount to be deposited should be $27,020.67

7 0
3 years ago
Arielle, a successful banker and educator, has decided to retire, but she is very interested in staying involved with a company
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Answer:

overall strategic goals and approval of major decisions.

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A board of directors are people that are selected to make decisions that are beneficial to shareholders and to ensure that the management of the organisation acts in the best interest of shareholders.

Directors asses the performance of the management and make major decisions such as acquisitions, issuing of new shares, company liquidation, and dividend declaration.

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3 0
3 years ago
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