A linear programming computer package is needed. 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. Bean Max Brazilian Natural Colombian Mild s.t. 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 900 pounds of Romans Regular coffee and 400 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. Regular constraint Regular DeCaf 75% (a) 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, 80-pounds of Brazilian beans purchased to produce DeCat, CR-pounds of Colombian beans purchased to produce Regular, and CD-pounds of Colombian beans purchased to produce DeCat.) Decaf constraint Pounds of Regular Pounds of DeCa Blend 25% (b) What is the optimal solution? (BR, BO, CR, CD)- 40% Need Help? Read Watch (c) What is the contribution to profit (in $)? (Round your answer to two decimal places) $
A linear programming computer package is needed. 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. Bean Max Brazilian Natural Colombian Mild s.t. 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 900 pounds of Romans Regular coffee and 400 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. Regular constraint Regular DeCaf 75% (a) 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, 80-pounds of Brazilian beans purchased to produce DeCat, CR-pounds of Colombian beans purchased to produce Regular, and CD-pounds of Colombian beans purchased to produce DeCat.) Decaf constraint Pounds of Regular Pounds of DeCa Blend 25% (b) What is the optimal solution? (BR, BO, CR, CD)- 40% Need Help? Read Watch (c) What is the contribution to profit (in $)? (Round your answer to two decimal places) $
Chapter6: Target Markets: Segmentation And Evaluation
Section6.1: Family-owned Ski Butternut Targets Family Skiers
Problem 3VC: Located in the picturesque Berkshire Mountains of Western Massachusetts, Ski Butternut has been a...
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
Recommended textbooks for you