Johnson?s Produce is purchasing fertilizer with two nutrients: N (nitrogen) and P (phosphorus). They need at least 180 units of N and 90 units of P. Their supplier has two brands of fertilizer for them to buy. Brand A costs $10 a bag and has 4 units of N and 1 unit of P. Brand B costs $5 a bag and has 1 unit of each nutrient. Johnson?s Produce can pay at most $800 for the fertilizer. How many bags of each brand should be purchased to minimize the cost? What is the minimum cost

MA 103 ? COLLEGE ALGEBRA

Linear Programming Project

The following items must be clearly presented in the problem?s analysis and
solution:
? The definition of all variables;
? A statement of the objective function;
? A listing of all the constraint inequalities;
? A graph showing the inequalities and the coordinates of the vertices;
? An evaluation of the objective function at each vertex;
? The conclusions drawn from the analysis