A farmer decides to purchase fertilizer containing 3 nutrients A, B, and C to be spread to his field. The minimum needs are 160units of A, 200units of B and 80units of C. There are 2 popular brands of fertilizer on the market; Fast Grow costing GHS40 per bag and containing 3units of A, 5units of B, and lunit of C, and Easy Grow costing GHS30 per bag and containing 2units of each nutrient. The farmer wishes to minimize his cost while maintaining the nutrients required. a) Formulate the linear programming problem. b) Graph the constraints. c) How many bags of each brand of fertilizer should the farmer buy in order to minimize cost?
A farmer decides to purchase fertilizer containing 3 nutrients A, B, and C to be spread to his field. The minimum needs are 160units of A, 200units of B and 80units of C. There are 2 popular brands of fertilizer on the market; Fast Grow costing GHS40 per bag and containing 3units of A, 5units of B, and lunit of C, and Easy Grow costing GHS30 per bag and containing 2units of each nutrient. The farmer wishes to minimize his cost while maintaining the nutrients required. a) Formulate the linear programming problem. b) Graph the constraints. c) How many bags of each brand of fertilizer should the farmer buy in order to minimize cost?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![A farmer decides to purchase fertilizer containing 3 nutrients A,
B, and C to be spread to his field. The minimum needs are
160units of A, 200units of B and 80units of C. There are 2
popular brands of fertilizer on the market; Fast Grow costing
GHS40 per bag and containing 3units of A, 5units of B, and
lunit of C, and Easy Grow costing GHS30 per bag and
containing 2units of each nutrient. The farmer wishes to
minimize his cost while maintaining the nutrients required.
a) Formulate the linear programming problem.
b) Graph the constraints.
c) How many bags of each brand of fertilizer should the
farmer buy in order to minimize cost?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9b8161a-25b0-4384-87b0-df65258d34b6%2F8d2891b7-3332-48b2-bb54-6de14b6ecae3%2F2dxn4ii.jpeg&w=3840&q=75)
Transcribed Image Text:A farmer decides to purchase fertilizer containing 3 nutrients A,
B, and C to be spread to his field. The minimum needs are
160units of A, 200units of B and 80units of C. There are 2
popular brands of fertilizer on the market; Fast Grow costing
GHS40 per bag and containing 3units of A, 5units of B, and
lunit of C, and Easy Grow costing GHS30 per bag and
containing 2units of each nutrient. The farmer wishes to
minimize his cost while maintaining the nutrients required.
a) Formulate the linear programming problem.
b) Graph the constraints.
c) How many bags of each brand of fertilizer should the
farmer buy in order to minimize cost?
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