Question
In: Statistics and Probability
Problem 4-13 Romans Food Market, located in Saratoga, New York, carries a variety of specialty foods...
Problem 4-13
Romans Food Market, located in Saratoga, New York, carries a variety of specialty foods from around the world. Two of the store’s leading products use the Romans Food Market name: Romans Regular Coffee and Romans DeCaf Coffee. These coffees are blends of Brazilian Natural and Colombian Mild coffee beans, which are purchased from a distributor located in New York City. Because Romans purchases large quantities, the coffee beans may be purchased on an as-needed basis for a price 10% higher than the market price the distributor pays for the beans. The current market price is $0.47 per pound for Brazilian Natural and $0.62 per pound for Colombian Mild. The compositions of each coffee blend are as follows:
| Blend | ||
|---|---|---|
| Bean | Regular | DeCaf |
| Brazilian Natural | 75% | 40% |
| Colombian Mild | 25% | 60% |
Romans sells the Regular blend for $3.60 per pound and the DeCaf blend for $4.40 per pound. Romans would like to place an order for the Brazilian and Colombian coffee beans that will enable the production of 1000 pounds of Romans Regular coffee and 500 pounds of Romans DeCaf coffee. The production cost is $0.80 per pound for the Regular blend. Because of the extra steps required to produce DeCaf, the production cost for the DeCaf blend is $1.05 per pound. Packaging costs for both products are $0.25 per pound. Formulate a linear programming model that can be used to determine the pounds of Brazilian Natural and Colombian Mild that will maximize the total contribution to profit.
| Let | BR = pounds of Brazilian beans purchased to produce Regular |
| BD = pounds of Brazilian beans purchased to produce DeCaf | |
| CR = pounds of Colombian beans purchased to produce Regular | |
| CD = pounds of Colombian beans purchased to produce DeCaf |
If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a plus sign before the blank. (Example: -300)
| Max | BR | + | BD | + | CR | + | CD | ||
| s.t. | |||||||||
| Regular blend | BR | + | CR | = | |||||
| DeCaf blend | BD | + | CD | = | |||||
| Regular production | BR | CR | = | ||||||
| DeCaf production | BD | + | CD | = | |||||
| BR, BD, CR, CD ≥ 0 | |||||||||
What is the optimal solution and what is the contribution to profit? If required, round your answer to the nearest whole number.
Optimal solution:
| BR = |
| BD = |
| CR = |
| CD = |
If required, round your answer to the nearest cent.
Value of the optimal solution = $
Solutions
orchestra answered 1 year agoRelated Solutions
Problem 4-13 (Algorithmic) Romans Food Market, located in Saratoga, New York, carries a variety of specialty...
Problem 4-13 (Algorithmic)
Romans Food Market, located in Saratoga, New York, carries a
variety of specialty foods from around the world. Two of the
store’s leading products use the Romans Food Market name: Romans
Regular Coffee and Romans DeCaf Coffee. These coffees are blends of
Brazilian Natural and Colombian Mild coffee beans, which are
purchased from a distributor located in New York City. Because
Romans purchases large quantities, the coffee beans may be
purchased on an as-needed basis for a...
Problem 9-13 (Algorithmic) Romans Food Market, located in Saratoga, New York, carries a variety of specialty...
Problem 9-13 (Algorithmic)
Romans Food Market,
located in Saratoga, New York, carries a variety of specialty foods
from around the world. Two of the store’s leading products use the
Romans Food Market name: Romans Regular Coffee and Romans DeCaf
Coffee. These coffees are blends of Brazilian Natural and Colombian
Mild coffee beans, which are purchased from a distributor located
in New York City. Because Romans purchases large quantities, the
coffee beans may be purchased on an as-needed basis for a...
Problem 9-13 (Algorithmic) Romans Food Market, located in Saratoga, New York, carries a variety of specialty...
Problem 9-13 (Algorithmic)
Romans Food Market, located in Saratoga, New York, carries a
variety of specialty foods from around the world. Two of the
store’s leading products use the Romans Food Market name: Romans
Regular Coffee and Romans DeCaf Coffee. These coffees are blends of
Brazilian Natural and Colombian Mild coffee beans, which are
purchased from a distributor located in New York City. Because
Romans purchases large quantities, the coffee beans may be
purchased on an as-needed basis for a...
Romans Food Market, located in Saratoga, New York, carries a variety of specialty foods from around...
Romans Food Market, located in Saratoga, New York, carries a
variety of specialty foods from around the world. Two of the
store’s leading products use the Romans Food Market name: Romans
Regular Coffee and Romans DeCaf Coffee. These coffees are blends of
Brazilian Natural and Colombian Mild coffee beans, which are
purchased from a distributor located in New York City. Because
Romans purchases large quantities, the coffee beans may be
purchased on an as-needed basis for a price 10% higher...
Romans Food Market, located in Saratoga, New York, carries a variety of specialty foods from around...
Romans Food Market, located in Saratoga, New York, carries a
variety of specialty foods from around the world. Two of the
store's leading products use the Romans Food Market name: Romans
Regular Coffee and Romans DeCaf Coffee. These coffees are blends of
Brazilian Natural and Colombian Mild coffee beans, which are
purchased from a distributor located in New York City. Because
Romans purchases large quantities, the coffee beans may be
purchased on an as-needed basis for a price 10% higher...
Romans Food Market, located in Saratoga, New York, carries a variety of specialty foods from around...
Romans Food Market, located in Saratoga, New York, carries a
variety of specialty foods from around the world. Two of the
store’s leading products use the Romans Food Market name: Romans
Regular Coffee and Romans DeCaf Coffee. These coffees are blends of
Brazilian Natural and Colombian Mild coffee beans, which are
purchased from a distributor located in New York City. Because
Romans purchases large quantities, the coffee beans may be
purchased on an as-needed basis for a price 10% higher...
Romans Food Market, located in Saratoga, New York, carries a variety of specialty foods from around...
Romans Food Market, located in Saratoga, New York, carries a
variety of specialty foods from around the world. Two of the
store’s leading products use the Romans Food Market name: Romans
Regular Coffee and Romans DeCaf Coffee. These coffees are blends of
Brazilian Natural and Colombian Mild coffee beans, which are
purchased from a distributor located in New York City. Because
Romans purchases large quantities, the coffee beans may be
purchased on an as-needed basis for a price 10% higher...
Romans Food Market, located in Saratoga, New York, carries a variety of specialty foods from around...
Romans Food Market, located in Saratoga, New York, carries a
variety of specialty foods from around the world. Two of the
store’s leading products use the Romans Food Market name: Romans
Regular Coffee and Romans DeCaf Coffee. These coffees are blends of
Brazilian Natural and Colombian Mild coffee beans, which are
purchased from a distributor located in New York City. Because
Romans purchases large quantities, the coffee beans may be
purchased on an as-needed basis for a price 10% higher...
4. New York Apartments. The market supply and demand functions for apartment rentals in New York...
4. New York Apartments. The market supply and
demand functions for apartment rentals in New York are given as
follows: P=2500-Q and P=300+Q
where P is the monthly rent in $ and Q is the
number of apartments rented per month.
Which is demand, which is supply? Explain.
What is the equilibrium market price and quantity?
Measure of the benefits consumers and producers receive given
the equilibrium and show graphically.
The government is considering placing a price ceiling on
monthly...
Problem 13-12 Pronghorn Music Emporium carries a wide variety of musical instruments, sound reproduction equipment, recorded...
Problem 13-12
Pronghorn Music Emporium carries a wide variety of musical
instruments, sound reproduction equipment, recorded music, and
sheet music. Pronghorn uses two sales promotion
techniques—warranties and premiums—to attract customers.
Musical instruments and sound equipment are sold with a 1-year
warranty for replacement of parts and labor. The estimated warranty
cost, based on past experience, is 1% of sales.
The premium is offered on the recorded and sheet music. Customers
receive a coupon for each dollar spent on recorded music...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- You have invested 30 percent of your portfolio in Jacob, Inc., 40 percent is Bella Co.,...
- Parallel Arrays This question is in MindTap Cengage Summary In this lab, you use what you...
- 5. You have invested 30 percent of your portfolio in Jacob, Inc., 40 percent is Bella...
- JAVA Write a test program that prompts the user to enter a series of integers and...
- (2) Cite an example on how organizations like Google, Facebook, Youtube etc collect data for image...
- The legal landscape is perpetually changing. Psychologists must remain abreast of these changes to avoid potentially...
- We are evaluating a project that costs $1.68 million, has a six-year life, and has no...
ADVERTISEMENT