B.3. Class Discussion for Linear Programming Problem B.3.1. A store wants to liquidate 200 of its shirts and 100 pairs of pants from last season. They have decided to put together two offers, A and B. Offer A is a package of one shirt and a pair of pants which will sell for P750. Offer B is a package of three shirts and a pair of pants, which will sell for P1,550. The store does not want to sell less than 20 packages of Offer A and less than 10 of Offer B. Formulate an LP model to determine the maximum revenue that can be generated from the offer. Problem B.3.2. Bevco manufactures an orange-flavored soft drink called Oranj by combining orange soda and orange juice. Each ounce of orange soda contains 0.5 oz. of sugar and 1 mg. of Vitamin C. Each ounce of orange juice contains 0.25 oz. of sugar and 3 mg. of Vitamin C. It costs Bevco 2 cents to produce an ounce of orange soda and 3 cents to produce an ounce of orange juice. Bevco's marketing department has decided that each 10 oz. bottle of Oranj must contain at least 20 mg. of Vitamin C and at most 4 oz. of sugar. Use LP to determine how Bevco can meet the marketing department's requirements at minimum cost.
B.3. Class Discussion for Linear Programming Problem B.3.1. A store wants to liquidate 200 of its shirts and 100 pairs of pants from last season. They have decided to put together two offers, A and B. Offer A is a package of one shirt and a pair of pants which will sell for P750. Offer B is a package of three shirts and a pair of pants, which will sell for P1,550. The store does not want to sell less than 20 packages of Offer A and less than 10 of Offer B. Formulate an LP model to determine the maximum revenue that can be generated from the offer. Problem B.3.2. Bevco manufactures an orange-flavored soft drink called Oranj by combining orange soda and orange juice. Each ounce of orange soda contains 0.5 oz. of sugar and 1 mg. of Vitamin C. Each ounce of orange juice contains 0.25 oz. of sugar and 3 mg. of Vitamin C. It costs Bevco 2 cents to produce an ounce of orange soda and 3 cents to produce an ounce of orange juice. Bevco's marketing department has decided that each 10 oz. bottle of Oranj must contain at least 20 mg. of Vitamin C and at most 4 oz. of sugar. Use LP to determine how Bevco can meet the marketing department's requirements at minimum cost.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Transcribed Image Text:B.3. Class Discussion for Linear Programming
Problem B.3.1. A store wants to liquidate 200 of its shirts and 100 pairs of pants from last season.
They have decided to put together two offers, A and B. Offer A is a package of one shirt and a pair of
pants which will sell for P750. Offer B is a package of three shirts and a pair of pants, which will sell
for P1,550. The store does not want to sell less than 20 packages of Offer A and less than 10 of Offer
B. Formulate an LP model to determine the maximum revenue that can be generated from the offer.
Problem B.3.2. Bevco manufactures an orange-flavored soft drink called Oranj by combining orange
soda and orange juice. Each ounce of orange soda contains 0.5 oz. of sugar and 1 mg. of Vitamin C.
Each ounce of orange juice contains 0.25 oz. of sugar and 3 mg. of Vitamin C. It costs Bevco 2 cents
to produce an ounce of orange soda and 3 cents to produce an ounce of orange juice. Bevco's
marketing department has decided that each 10 oz. bottle of Oranj must contain at least 20 mg. of
Vitamin C and at most 4 oz. of sugar. Use LP to determine how Bevco can meet the marketing
department's requirements at minimum cost.
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