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1₁ Hi-V produces three types of canned juice drinks, A, B, and C, using fresh strawberries, grapes, and apples. The daily supply is limited to 200 tons of strawberries, 100 tons of grapes, and 150 tons of apples. The cost per ton of strawberries, grapes, and apples, is $200, $100, and $90, respectively. A ton of strawberies makes 1,500 lb of strawberry juice. A ton of grapes produces 1,200 lb of grape juice. While 1,000 lb of apple juice requires 1 ton of apples. Drink A is a 1:1 mix of strawberry and apple juice. Drink B is 1:1:2 mix of strawberry, grape, and apple juice. Drink C is a 2:3 mix of grape and apple juice. All drinks are canned in 16- oz (1 lb) cans. The selling price per can is $1.15, $1.25, and $1.20 for drinks A, B, and C. Formulate the appropriate LP for Hi-V. Use only 3 decision variables.

1₁ Hi-V produces three types of canned juice drinks, A, B, and C, using fresh strawberries, grapes, and apples. The daily supply is limited to 200 tons of strawberries, 100 tons of grapes, and 150 tons of apples. The cost per ton of strawberries, grapes, and apples, is $200, $100, and $90, respectively. A ton of strawberies makes 1,500 lb of strawberry juice. A ton of grapes produces 1,200 lb of grape juice. While 1,000 lb of apple juice requires 1 ton of apples. Drink A is a 1:1 mix of strawberry and apple juice. Drink B is 1:1:2 mix of strawberry, grape, and apple juice. Drink C is a 2:3 mix of grape and apple juice. All drinks are canned in 16- oz (1 lb) cans. The selling price per can is $1.15, $1.25, and $1.20 for drinks A, B, and C. Formulate the appropriate LP for Hi-V. Use only 3 decision variables.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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1 " Hi-V produces three types of canned juice drinks, A, B, and C, using fresh strawberries, grapes, and apples. The daily supply is limited to 200 tons of strawberries, 100 tons of grapes, and 150 tons of apples. The cost per ton of strawberries, grapes, and apples, is $200, $100, and $90, respectively. A ton of strawberies makes 1,500 lb of strawberry juice. A ton of grapes produces 1,200 lb of grape juice. While 1,000 lb of apple juice requires 1 ton of apples. Drink A is a 1:1 mix of strawberry and apple juice. Drink B is 1:1:2 mix of strawberry, grape, and apple juice. Drink C is a 2:3 mix of grape and apple juice. All drinks are canned in 16- oz (1 lb) cans. The selling price per can is $1.15, $1.25, and $1.20 for drinks A, B, and C. Formulate the appropriate LP for Hi-V. Use only 3 decision variables.
Transcribed Image Text:1 " Hi-V produces three types of canned juice drinks, A, B, and C, using fresh strawberries, grapes, and apples. The daily supply is limited to 200 tons of strawberries, 100 tons of grapes, and 150 tons of apples. The cost per ton of strawberries, grapes, and apples, is $200, $100, and $90, respectively. A ton of strawberies makes 1,500 lb of strawberry juice. A ton of grapes produces 1,200 lb of grape juice. While 1,000 lb of apple juice requires 1 ton of apples. Drink A is a 1:1 mix of strawberry and apple juice. Drink B is 1:1:2 mix of strawberry, grape, and apple juice. Drink C is a 2:3 mix of grape and apple juice. All drinks are canned in 16- oz (1 lb) cans. The selling price per can is $1.15, $1.25, and $1.20 for drinks A, B, and C. Formulate the appropriate LP for Hi-V. Use only 3 decision variables.
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