A produce grower is purchasing fertilizer containing 3 nutrients: A, B and C. The minimum weekly requirements are 80 units of A, 120 of B and 240 of C. There are two popular blends of fertilizer on the market. Blend 1 costing $8 a bag and contains 2 units of A, 6 of B and 4 of C. Blend 2 costing $10 a bag and contains 2 units of A, 2 of B and 12 of C. (a) Write down the LP Model. (b) Identify the coordinates of the extreme points of the feasible region. (c) How many bags of each blend should the grower buy each week to minimize the cost of meeting the nutrient requirement. (d) What is the mimimim cost ?
A produce grower is purchasing fertilizer containing 3 nutrients: A, B and C. The minimum weekly requirements are 80 units of A, 120 of B and 240 of C. There are two popular blends of fertilizer on the market. Blend 1 costing $8 a bag and contains 2 units of A, 6 of B and 4 of C. Blend 2 costing $10 a bag and contains 2 units of A, 2 of B and 12 of C. (a) Write down the LP Model. (b) Identify the coordinates of the extreme points of the feasible region. (c) How many bags of each blend should the grower buy each week to minimize the cost of meeting the nutrient requirement. (d) What is the mimimim cost ?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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A produce grower is purchasing fertilizer containing 3 nutrients: A, B and C. The minimum weekly requirements are 80 units of A, 120 of B and 240 of C. There are two popular blends of fertilizer on the market. Blend 1 costing $8 a bag and contains 2 units of A, 6 of B and 4 of C. Blend 2 costing $10 a bag and contains 2 units of A, 2 of B and 12 of C.
(a) Write down the LP Model.
(b) Identify the coordinates of the extreme points of the feasible region.
(c) How many bags of each blend should the grower buy each week to minimize the cost of meeting the nutrient requirement.
(d) What is the mimimim cost ?
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