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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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Gannon Enterprises is in the midst of a major strategic change. To lessen resistance from some of thesenior managers who are opp
lions [1.4K]

Answer:

C. negotiation

Explanation:

3 0
2 years ago
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Assume that three identical units of merchandise were purchased during October, as follows: Units Cost October 5 Purchase 1 $5 1
den301095 [7]

Answer:

Cost of merchandise sold = $ 28

Gross profit = $ 13

The ending inventory under the LIFO method = $ 18

Explanation:

Given:

October 5,

Purchased units =  1

Unit cost = $5

on October  12,

Purchased units = 1

Unit cost = $ 13

On October 28,

Purchased unit = 1

Unit cost = $ 15

Total cost of the 3 units purchased = $33

Now, the unit sold on October 31 will be the unit purchased in the end i.e on October 28

thus,

Cost of merchandise sold = $ 28

Gross profit = Selling price of the unit - Unit price of purchase

or

Gross profit = $ 28 - $ 15 = $ 13

now, the ending inventory under the LIFO method = $ 5 + $ 13 = $ 18

4 0
3 years ago
Read 2 more answers
The shortest-route problem is a special case of the transshipment problem.
Vsevolod [243]

The shortest-route problem is a special case of the transshipment problem while transportation problems prevent shipments from entering and exiting some nodes, the transshipment problem does.

<h3>What are transshipment?</h3>

Transshipment is the loading and unloading of goods and stuff from one transport vehicle to another vehicle.

Transshipment happens because of no direct connection between the ports, due to this the goods are transported to different vehicles.

Thus, while transportation problems prevent shipments from entering and exiting some nodes, the transshipment problem does.

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3 0
1 year ago
On October 1, 2018, Chief Corporation declared and issued a 10% stock dividend. Before this date, Chief had 80,000 shares of $5
iris [78.8K]

Answer:

correct option is a. decrease by $80,000

Explanation:

given data

stock dividend = 10%

common stock = $5

Chief = 80,000 shares

market value = $10

to find out

Chief's retained earnings will

solution

here retaining earning will be decrease by the maount of stock dividend that is

retaining earning = $80,000 × 10 % × $10

retaining earning = $80,000 × 0.10 × $10

retaining earning = $80000

so here correct option is a. decrease by $80,000

4 0
2 years ago
the term structure of interest rates is a. the relationship among interest rates of different bonds with the same maturity. b. t
AveGali [126]

The term structure of interest rates is the relationship between interest rates or bond yields and different terms or maturities.

What is Term Structure of Interest Rates?

The yield curve, also known as the term structure of interest rates, represents the interest rates of bonds of comparable quality but different maturities. The interest rate term structure shows market participants' expectations for future interest rate adjustments as well as their evaluation of the state of monetary policy.

The relationship between interest rates or bond yields and various terms or maturities is, in essence, the term structure of interest rates. The term structure of interest rates is referred to as a yield curve when it is graphed, and it is extremely important in determining the state of an economy at any one time.

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