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kodGreya [7K]
2 years ago
14

At a chip manufacturing plant, four technicians (A, B, C, and D) produce three products (Products 1, 2, and 3). This month, the

chip manufacturer can sell 80 units of Product 1, 50 units of Product 2, and at most 50 units of Product 3. Technician A can make only Products 1 and 3. Technician B can make only Products 1 and 2. Technician C can make only Product 3. Technician D can make only Product 2. For each unit produced, the products contribute the following profit: Product 1, $6; Product 2, $7; and Product 3, $10. The time (in hours) each technician needs to manufacture a product is as follows(X means the technician can not produce the corresponding product). Each technician can work up to 120 hours per month. How can the chip manufacturer maximize its montly profit
Business
1 answer:
Vesna [10]2 years ago
7 0

The chip manufacturer can maximize the monthly profit by using the objective function: z = 6X₁ + 7X₂ + 10 X₃

An objective function is a function that has the goal of maximizing or minimizing the model's value based on the relationship between the variables in the function.

The term "decision variables" refers to a group of variables that are responsible for regulating the objective function.

The decision variable for the quantity of the product 1, 2, 3 manufactured can be expressed as:

  • X₁, X₂, X₃

The objective function used in maximizing the profit is:

  • z = 6X₁ + 7X₂ + 10 X₃

This is subjected to the constraint:

  • 2X₁ + 3X₃  ≤  120     (Tech A time and manufacturing limitation)
  • 2.5X₁ + 3X₂  ≤  120  (Tech B time and manufacturing limitation)
  • 4X₂  ≤  120               (Tech C time and manufacturing limitation)
  • 3.5X₂  ≤  120            (Tech D time and manufacturing limitation)

Learn more about objective function for maximizing profit here:

brainly.com/question/12975426

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Suppose, you own a screen-printing business and you enter into a contract with a local school to print 50 orange t-shirts with t
LUCKY_DIMON [66]

Answer: $500

Explanation:

Based on the scenario in the question, there's a breach of contract as the shirts aren't delivered and there are 50 t-shirts which cost $10 each that no one law is willing to buy because it has a school name and their mascot on the front.

Here, the maker of the shirt can sue for damages and since there's no resale, the amount to be sued for damages will be the price of each shirt multiplied by the total number of shirt. This will be:

= $10 × 50

= $500

6 0
3 years ago
Gonzo Co. owns a building in Georgia. The building’s historical cost is $970,000, and $440,000 of accumulated depreciation has
ladessa [460]

Answer:

1. The cost to be capitalized to building account is $343,600

2. The subsequent carrying amount of the building is $873,600

Explanation:

1. In order to calculate the which of the costs incurred by Gonzo Co. should be capitalized to the building account we would have to use the following formula:

cost to be capitalize=Major improvement to the plumbing+Added a loby

cost to be capitalize=$109,000+$234,600

cost to be capitalize=$343,600

The cost to be capitalized to building account is $343,600

2. To calculate the subsequent carrying amount of the building we have to use the following formula:

subsequent carrying amount=Historical cost+improvements-Accumulated Depreciation

subsequent carrying amount=$970,000+$343,600-$440,000

subsequent carrying amount=$873,600

The subsequent carrying amount of the building is $873,600

5 0
3 years ago
List and explain ten factors to consider in preparing family income​
aniked [119]

<em>Answer:</em>

<em>1. Availability of Money:</em>

<em>The expenditure of a family depends upon the availability of money or total income of the family. It can afford to spend under various needs. In lower income group, families expenditure is more on food. Higher income group families spend more on recreation, education and luxuries etc.</em>

<em>2. The size and the composition of the family:</em>

<em>Expenditure depends upon the size and composition of the family. The size of the family means the number of adults and children. The more the mouths to eat the expenditure is more on food, clothing and shelter. With the growth of children, more will be spent on education and clothing. More will be spent towards transportation when the members go out of the house for work or study.</em>

<em>Composition of the family means the number of adults and children in the family. It also includes the number of males, females and old persons. For old persons, extra expenditure will be incurred towards health and medical expenses.</em>

<em>3. Stages of family life cycle:</em>

<em>Family life cycle plays an important role in spending money. At the beginning stage, most part of the family income is spent towards the establishment expenditure as a newly married couple starts their family life. In the expanding stage families need money for the children, their food, dress, education etc. Some families in the expanding stage spend more on purchasing durable household goods, furniture etc. In the contracting stage major expenditure is on wedding celebration of their children. During this stage, the family income is gradually reduced. So the expenditure should be cut short.</em>

<em>4. Occupation of the family members:</em>

<em>Sometimes expenditure of the family depends upon the occupation of the family members. In certain jobs, there are special benefits like free quarters, educational facilities for children, health and medical allowance, travelling allowance etc.</em>

<em>5. The needs and objectives of the family:</em>

<em>Expenditure will be done according to the needs and objectives of the family. For example, a family where young children are there, more will be spent for nutritious foods. Old people require health and medical expenses. Working women spend money for the servants as they do not find time to do the household work.</em>

<em>6. Resources:</em>

<em>Both human and material resources can make significant changes in the pattern of expenditure of a family. The abilities, skill, knowledge, interest, attitude and habits of the members of the family can be utilized for various purposes as supplementary income.</em>

<em>7. Locality of the family:</em>

<em>In rural areas more will be spent on food. But in urban areas the expenditure is more on education, recreation, transportation, accommodation etc.</em>

<em>8. Socio-economic status of the family:</em>

<em>The socio-economic status of the family is determined by its income, education level and occupation of the members. The higher the socio-economic status the expenditure will be more on interior decoration, higher education, club membership, accommodation, recreation etc. The total expenditure depends on the standard of living the family maintains.</em>

<em>9. Social and religious traditions:</em>

<em>Some families accept old and traditional values. So they spend more on marriages and religious festival.</em>

<em>10. Personal choice:</em>

<em>Expenditure depends upon the personal choice. For example, one person may have a liking for expensive perfumes and jewellery while another may have simple tastes. Expenditure is also affected by the measures taken in the family to make provision for the future like house building, higher education of children etc. The home-maker will be able to manage with her income by cutting out unnecessary and extravagant expenditure. “One must cut one’s coat according to his cloth.”</em>

<em />

<em>This saying is rightly proved in home management. Balancing of income and expenditure is the best way of money management. Whatever the income may be, the efficient management of money is a requisite for a happy, successful and peaceful family life.</em>

8 0
3 years ago
Most economists prefer _____ as the best indicator of current economic performance.
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Most economists prefer real GDP growth as the best indicator of current economic performance. Real GDP is the gross domestic product in constant dollars. In other words, it is a nation's total output of goods and services, adjusted for price changes. The real GDP allows economists to make useful comparisons of a nation's output and services by eliminating the effect of price changes. It is also known as inflation-corrected GDP and constant-price GDP.
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