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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? d) What is the minimum 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? d) What is the minimum cost?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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? d) What is the minimum cost?
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? d) What is the minimum cost?
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