min z= 2x, + 3x2 s.t. 2 + x24 X - X 2-1 X1, X 20

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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Ings
Revie
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AaBbCc AaBbCcL AaBbCe AaBbCel AaBCeDd AaBbCcD AaBbCcI AaBbC
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Evaluation
Solve the problems below: Post your answers with solutions on the GC on
Wednesday, 10am, April 7, 2021.
min z = 2x, + 3rz
2x + x2 2 4
s.t.
max z = 3x1 + x2
s.t.
X, + x, 2 3
2r, + x2 <4
X, + xz = 3
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 vita-
min C. Each ounce of orange juice contains 0.25 oz of sugar and 3 mg of vitamin C. It
costs Bevco 2¢ to produce an ounce of orange soda and 3¢ to produce an ounce of or-
ange 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 linear program-
ming to determine how Bevco can meet the marketing department's requirements at min-
imum cost.
Transcribed Image Text:ACED- ith-GF Last saed b user (Compatibilit Mede] - Word Ings Revie E-E-- EE AaBbCc AaBbCcL AaBbCe AaBbCel AaBCeDd AaBbCcD AaBbCcI AaBbC 1 Delault Emphasis T Heading 4 THeading 5 THeading 6 Heading7 hgkek T Norm Paragraph Styles 1 2 4 S 6 Evaluation Solve the problems below: Post your answers with solutions on the GC on Wednesday, 10am, April 7, 2021. min z = 2x, + 3rz 2x + x2 2 4 s.t. max z = 3x1 + x2 s.t. X, + x, 2 3 2r, + x2 <4 X, + xz = 3 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 vita- min C. Each ounce of orange juice contains 0.25 oz of sugar and 3 mg of vitamin C. It costs Bevco 2¢ to produce an ounce of orange soda and 3¢ to produce an ounce of or- ange 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 linear program- ming to determine how Bevco can meet the marketing department's requirements at min- imum cost.
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