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Linear Programming Project
In this Project, each team will be provided with a linear programming problem that must be solved in detail. The solution to the problem must include the items listed below in a clear and orderly format. Once the team is certain that the solution is correct and complete, the solution should be submitted to the Instructor by the Due Date. Submissions after the Due Date will receive Lateness Deductions at the rate of 10% per calendar day late; the timestamp ofthe submission will be used in any such evaluation.
The following items must be clearly presented in the problems 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.
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?
sketch the parallelogram spanned by and in the xy plane and compute its area.
determine the roots of the simultaneous nonlinear equations x-42 y-42 5 x2 y2 16. use a graphical approach to
Highway engineers design a parabolic curve for an entrance ramp from a straight street to an interstate highway . The vertex of the curve passes through (0, 0) and the parabola passes through (1000, + 800). Find an equation for the parabola.
A manufacturer obtains GPS systems from three different subcontractors: 20% from A, 45% from B, and 35% from C. The defective rates for the subcontractors are 1%, 3% and 2%, respectively.
the lifetime of a light bulb is normally distributed with a mean life of 1000 hours and a standard deviation of 30 hours. Find the probability that a randomly selected light bulb lasts longer than 1045 hours.
What question could the student be trying to answer by using the graph?
Explain three of the rules for exponents and How do exponents assist you in the solution of square roots?
Where t is the number of years after January 1, 1998 and C(t) is the number of conncections in millions.
1. How old are you now? At what age do you hope to retire? These questions are really about answering: How many years do you have until you retire?
how many bicycles must be produced each day for the average cost to be no more than $100?
6. 23% of the seniors at a high school failed pre-calculus. If 1138 students failed pre-calculus, how many seniors are at this high school?
What was the percent increase?
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