Question

In: Operations Management

Q6: A soft drink company has two bottling plants, one located at P and the other...

Q6: A soft drink company has two bottling plants, one located at P and the other at Q. Each plant produces three different soft drinks A, B, and C. The capacities of the two plants in number of bottles per day, are as follows:

Plant P

Plant Q

Product A

3000

1000

Product B

1000

1000

Product C

2000

6000

A market survey indicates that during the month of May, there will be a demand for at least 24000 bottles of A, 16000 bottles of B and 48000 bottles of C. The operating cost per day of running plants P and Q are respectively $600 and $400. Formulate a model for this problem to find how many days should the firm run each plant in the month of May so that the production cost is minimized while still meeting the market demand.

Solution:

Solutions

Expert Solution

If you liked the answer please give an Up-vote, this will be quite encouraging for me, thank you!


Related Solutions

A soft drink bottling company just ran a long line of 12-ounce soft drink cans filled...
A soft drink bottling company just ran a long line of 12-ounce soft drink cans filled with cola. A sample of 32 cans is selected by inspectors looking for non-conforming items. Among the things the inspectors look for are paint defects on the can, improper seal, incorrect volume, leaking contents, incorrect mixture of carbonation and syrup in the soft drink, and out-of-spec syrup mixture. The results of this inspection are given here. Construct a c chart from the data. Can...
Management of a soft-drink bottling company has the business objective of developing a method for allocating...
Management of a soft-drink bottling company has the business objective of developing a method for allocating delivery costs to customers.  Although one cost clearly relates to travel time within a particular route, another variable cost reflects the times required to unload the cases of soft drink at the delivery point.  To begin, management decided to develop a regression model to predict delivery time based on the number of cases delivered.  A sample of 20 deliveries within a territory was selected.  The delivery times and...
A soft-drink bottling company maintains records of the number of unacceptable bottles obtained from its two...
A soft-drink bottling company maintains records of the number of unacceptable bottles obtained from its two filling and capping machines. A trial inspection of a production run of 1000 bottles showed that 430 came from Machine I and 570 from Machine II. Ten bottles from Machine I and 25 from Machine II were nonconforming. (a) Use the above information to estimate the probabilities in the contingency table: Conforming Nonconforming TOTAL Machine I Machine II TOTAL (b) What proportion of the...
Management of a soft-drink bottling company wants to develop a method for allocating delivery costs to...
Management of a soft-drink bottling company wants to develop a method for allocating delivery costs to customers. Although one cost clearly relates to travel time within a particular route, another cost variable reflects the time required to unload the cases of soft drink at the delivery point. A sample of 20 deliveries within a territory was selected. The delivery times (in minutes) and the number of cases delivered were recorded in the file below. Customer Number of cases Delivery Time...
Management of a soft-drink bottling company wants to develop a method for allocating delivery costs to...
Management of a soft-drink bottling company wants to develop a method for allocating delivery costs to customers. Although one cost clearly relates to travel times within a particular route, another variable cost reflects the time required to unload the cases of soft drink at the delivery point. A sample of 20 deliveries within a territory was selected. The delivery time and the number of cases delivered were recorded. Develop a regression model to predict delivery time based on the number...
A soft drink company has recently received customer complaints about its one-liter-sized soft drink products. Customers...
A soft drink company has recently received customer complaints about its one-liter-sized soft drink products. Customers have been claiming that the one-liter-sized products contain less than one liter of soft drink. The company has decided to investigate the problem. According to the company records, when there is no malfunctioning in the beverage dispensing unit, the bottles contain 1.02 liters of beverage on average, with a standard deviation of 0.15 liters. A sample of 70 bottles has been taken to be...
A soft drink manufacturing company has 3 factories - one in Orlando, one in Tampa, and...
A soft drink manufacturing company has 3 factories - one in Orlando, one in Tampa, and one in Port St. Lucie - which supply soft drink bottles to 3 warehouses located in the city of Miami. The associated per-unit transportation cost between the factories and the warehouses is provided in the table below. Transportation Costs of Factories ($): Factories / Warehouses W1 W2 W3 Orlando 6 4 5 Tampa 7 6 5 Port St. Lucie 5 7 6 The factory...
Suppose soft drink production at bottling plant is described by the production function: ? =??^?.? where...
Suppose soft drink production at bottling plant is described by the production function: ? =??^?.? where y is the number of cases of soft drinks produced and x is the number of hours of labor hired. We also assume the wage for labor is r, price for soft drink is p and fixed costs is $1,000.   How many cases of soft drinks will be produced with 4 hours of labor?   Find each of the following if 4 hours of labor...
The NEPA Bottling Company, which provides glass bottles to soft drink manufacturers, provided the information regarding...
The NEPA Bottling Company, which provides glass bottles to soft drink manufacturers, provided the information regarding the number of cases per shipment, size of cartons, and the corresponding transportation cost: Number of Cases/Shipment (hundreds) 15 22 35 43 58 65 73 82 85 98 Size of Carton (cubic inches) 12 16 20 24 28 32 36 40 44 48 Transportation Costs (dollars) 200 260 310 360 420 480 540 630 710 730 The marketing manager is interested in studying the...
Using Coca-Cola Company as your model, prepare a global marketing strategy for another soft drink bottling...
Using Coca-Cola Company as your model, prepare a global marketing strategy for another soft drink bottling company of your choice to compete and win against Coke. Support your arguments with at least four (4) scholarly research journal articles, cited in correct APA format style.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT