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grigory [225]
3 years ago
8

Problem 10-05 (Algorithmic) The Metropolitan Bus Company (MBC) purchases diesel fuel from American Petroleum Supply. In addition

to the fuel cost, American Petroleum Supply charges MBC $150 per order to cover the expenses of delivering and transferring the fuel to MBC's storage tanks. The lead time for a new shipment from American Petroleum is 10 days; the cost of holding a gallon of fuel in the storage tanks is $0.05 per month, or $0.6 per year; and annual fuel usage is 50,000 gallons. MBC buses operate 250 days a year. What is the optimal order quantity for MBC
Business
1 answer:
USPshnik [31]3 years ago
7 0

Answer:

456 Gallons

Explanation:

The Optimal order quantity can be found using the following formula:

Economic Order Quantity = Sqrt (2* Annual Demand * Ordering cost per order / Holding cost per unit per year)

EOQ= SquareRoot (2 * 50000 Gallons * $150 per order/ 0.48 Holding costs)

Economic Order Quantity = 456 Gallons

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Suppose that a lumberyard has a supply of 10-ft boards, which are cut into 3-ft, 4-ft, and 5-ft boards according to customer dem
Alja [10]

Answer :

Some answers are attached below

Explanation:

a) Based on the information provided, below are the all possible sensible patterns the lumberyard may use to cut the 10-ft boards -

Pattern Number 3-ft boards 4-ft boards 5-ft boards Waste (<3-ft)

1                      3                   0                     0                       1                                                                        

2                                2                 1                          0                      0

3                             1                    0                           1                       2            

4                                 0                     1                          1                        1

5                           0                      2                           0                       2                  

6                      0                     0                            2                     0      

b) ILP Formulation

Objective Function

Minimize Number of 10 ft-boards to be cut

Z = x1+x2+x3+x4+x5+x6 where xi is the number of boards for pattern i

subject to constraints -

3x1+2x2+x3>=90 ----> 3-ft boards

x2+x4+2x5>=60 ----->4-ft boards

x3+x4+2x6>=60 ----->5-ft boards

Xi>=0 ---->Non-negativity constraint

Below is the excel solver formulation and solution -

The optimal number of Pattern 1,5,6 =0, Pattern 2,3 and 4 = 30

The minimum number of 10 ft-boards to be cut = 90

7 0
3 years ago
Read 2 more answers
Marc agrees to sell Diana 500 copies of a book for $3.50 per book. Marc breaches the contract by not delivering the books. At th
Lesechka [4]

Answer:

$500

Explanation:

Damages refer to the financial loss suffered by a party to a breached contract. It occurs as a result of one party refusing to perform their obligation in the contract, causing injury and losses to the other.

Damages are the extra expense incurred by the offended party due to the breach of contract. The calculation of damages involves getting the difference between the market price and the contract price. For Diana, the damages will be the market price of $4.50, and the contact price $3.50. Because the books were 500, her damage would be 500 X 1 = $500.

6 0
3 years ago
Favorita candy's stock is expected to earn $2.40 per share this year. its p/e ratio is 18. what is the stock price?
MatroZZZ [7]
The formula to calculate p/e ratio is: price/earnings.

So, the price of the stock would be

p/e ratio = price/earnings

18 = price / 2.4

Price= 2.4 x 18

Price = 43.2 


3 0
3 years ago
MyPillow uses television advertising and wanted to see whether the TV ads reached more viewers during the daytime spots or the p
Anit [1.1K]

Answer:

c

Explanation:

If MyPillow wants to get real time update, it means it wants to get update as people are watching tv. In order to reach its audience, it would be right to reach them on the medium they use while watching tv. If most people do not use their desktop computers while watching TV , it would not be appropriate to use desktop computers.

But if people watch tv and use their phone, the appropriate means of carrying this research is through mobile.

5 0
2 years ago
What might happen to a population of animals if one or more of the limiting factors were no longer limiting?
Anuta_ua [19.1K]

In the natural world, limiting factors like the availability of food, water, shelter and space can change animal and plant populations. Other limiting factors, like competition for resources, predation and disease can also impact populations. ... Some changes may cause a population to increase.

4 0
2 years ago
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