In: Operations Management

A curtain manufacturer receives three orders for curtain material with widths and lengths as follows:

Order number: 1 2 3

Width (m) : 2.5 3.8 4.9

Length (number of rolls) : 30 50 10

1 2.5 30 2 3.8 50 3 4.9 10 Rolls of curtain material are produced in two standard widths, 5 and 10 m. These can be cut to the sizes specified by the order. There is no practical length limitation as rolls can be joined together. Determine the production plan that minimizes the curtain material trim loss.

Let x be no of 5 m rolls and y be no of 10 m rolls made

Now trim loss will be 5x + 10y - total width required = 5x + 10y - (2.5+3.8+4.9) = 5x + 10 y -11.2

We need to minimise above such that

trim loss >=0

x,y>=0 and are integers

The problem is put in excel as shown below:

Solver has following entries done:

The excel solution is given below:

As obtained above, we need to manufacture three curtains each having width 5 m. The minimum trim loss will be 3.8

A warehouse receives orders for a particular product on a
regular basis. When an order is placed, customers can order 3, 4,
5, ..., 21 units of the product. Historical data suggest that the
size of any given order is equally likely to be of any of these
sizes. Let X denote the size of an order.
Find the probability that a customer orders exactly five
units.
A warehouse receives orders for a particular product on a
regular basis. When...

A warehouse receives orders for a particular product on a
regular basis. When an order is placed, customers can order 3, 4,
5, ..., 21 units of the product. Historical data suggest that the
size of any given order is equally likely to be of any of these
sizes. Let X denote the size of an order.
Find the probability that a customer orders at least five
units.

1. Order raw material costing $60,000 from various suppliers
2. Receives notification from the suppliers that the raw
materials ordered in transaction (8) were shipped. The merchandise
belongs to the suppliers until received by Whitley Products
Corporation.
3. Received the raw materials shipped in transaction (9)
Journalize the transactions above.

A cardboard cutting company received three orders to cut rolls to the measurements shown below:
Order
Width (meters)
Length (meters)
A
0.50
1000
B
0.70
3000
C
0.90
2000
This company buys the cardboard to be cut into two standard widths: 1 and 2 meters and then cuts it according to what each order requires. The standard rolls do not have a defined length, since for practical purposes the cardboard can be glued to comply with the required length.
Formulate...

Suppose Jones Company has orders from three customers located in
the same market area. One order has a total weight of 3,600 pounds,
the second weighs 8,300 pounds, and the third weighs 12,100 pounds.
The transportation carrier quotes a freight rate of $20 per
hundredweight (or cwt.) for direct shipment to the customer for
shipments weighing 1,000 to 4,999 pounds, $18 per cwt. for orders
weighing 5,000 to 9,999 pounds, and $16 for shipments weighing
between 10,000 and 15,000 pounds....

Problem 6-09 (Algorithmic)
The Ace Manufacturing Company has orders for three similar
products:
Product
Order (Units)
A
2250
B
550
C
1100
Three machines are available for the manufacturing operations.
All three machines can produce all the products at the same
production rate. However, due to varying defect percentages of each
product on each machine, the unit costs of the products vary
depending on the machine used. Machine capacities for the next week
and the unit costs are as follows:...

Problem 6-09 (Algorithmic) The Ace Manufacturing Company has
orders for three similar products: Product Order (Units) A 1950 B
400 C 1300 Three machines are available for the manufacturing
operations. All three machines can produce all the products at the
same production rate. However, due to varying defect percentages of
each product on each machine, the unit costs of the products vary
depending on the machine used. Machine capacities for the next week
and the unit costs are as follows:...

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