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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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In 2016 Whitney's Cafe had a total revenue of $136,900. In 2017 Whitney's Cafe had a total revenue of $175,200. Complete the fol
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Answer:

1.28 times

Explanation:

How many times as large the revenue generated in 2017 is compared to that of 2016 can be derived from the division of the revenues for both years.

Given that the total revenue for 2017 is $175,200 and that for 2016 is $136,900

The number of times 2017 revenue is as large as that of 2016

= $175,200/$136,900

= 1.28 times

4 0
3 years ago
Financial information is presented below:Operating expenses $ 45,000Sales returns and allowances 3,000Sales discounts 7,000Sales
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Answer:

a. 0.36

Explanation:

The computation of the gross profit rate is shown below:

Gross profit rate = Gross profit ÷ Net sales revenue

where,

Net sales revenue = Sales revenue - Sales return and allowances - sales discounts

= $160,000 - $3,000 - $7,000

= $150,000

And, the Cost of goods sold is $96,000

So, the gross profit is

= $54,000 ÷ $150,000

= 0.36

5 0
3 years ago
Based on your reading of the following passage, to which listed careers do you think John might be suited? (Select all that appl
lesya [120]

Answer:

a seaman

a seaman

a rail yard worker

Explanation:

7 0
2 years ago
Peninsula Company reported net income of $290,000 for the year. During the year, accounts receivable increased by $21,000, accou
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Answer:

$305,000

Explanation:

Given that,

Net income for the year = $290,000

Increase in accounts receivable = $21,000

Decrease in accounts payable = $9,000

Depreciation Expense = $45,000

Net cash provided by operating activities:

= Net Income of current year - Decrease in Accounts Payable + Depreciation Expense - Increase in Accounts Receivable

= $290,000 - $9,000 + $45,000 - $21,000

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3 years ago
As in the previous Participation Exercise, the Khalid Company manufactures and sells Paso-the-Salsa, which is a bottled condimen
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Answer:

Instructions are listed below.

Explanation:

Giving the following information:

Each bottle is sold for $5. The company recently had the following costs to produce 12,000 units of its product during August:

(1) Rent of $5,000 on a billboard to help advertise the product

(2) Rent on factory and equipment of $8,000

(3) Total payroll for hourly-paid, factory workers $24,000

(4) Tomatoes, onions, spices, and bottles $18,000

(5) Total payroll for salaried, administrative staff $6,000

The company sold 8,000 units.

A) First, we need to calculate the total and unitary cost of production:

Total cost= direct material + direct labor + factory overhead

Total cost= tomatoes, onions, spices, and bottles + Total payroll for hourly-paid, factory workers + Rent on factory and equipment

Total cost= 18,000 + 24,000 + 8,000

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Unitary cost= 50,000/12,000= $4.17 per bottle

Now, we can calculate the cost of goods sold:

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B) Income statement:

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Net operating income= (4,360)

C) Inventory= unitary cost* ending inventory in units

Inventory= 4.17*4,000= $16,680

4 0
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