Please help with solving this problem in graphical analysis and formulate a linear programming model for the below:
A company produces two prducts that are processed on two assembly lines. Assembly line 1 has 100 available hours, and assemoly line 2 has 42 available hours. Each prduct equires 10 hours of processing time on line 1, while on line 2 product 1 requires 7 hours and product 2 requirs 3 hour. The profit for product 1 is $6 per unit, and the profit for product 2 is $4 per unit.
A fertilizer company makes a fertilizer using two chemicals that provide nitrogen, phosphate, and potassium. A pound of ingredient 1 contributes 10 ounces of nitrogen and 6 ounces of phosphate, while a pound of ingredient 2 contributes 2 ounces of nitrogen, 6 ounces of phosphate, and 1 ounce of potassium. Ingredient 1 cs $3 per pound, and intredien 2 cost $5 per pound. The company asked how many pounds of each chemical ingredient to put into a bag of fertilizer to meet the minimum requirements of 20 ounces of nitrogen 36 ounces of phosphae, and 2 ounces of potassium while minimizing cost.
I am having trouble with graphing these. Please help graph and explain.© BrainMass Inc. brainmass.com October 16, 2018, 10:13 pm ad1c9bdddf
A Complete, Neat and Step-by-step Solution is provided in the attached file.
Mathematics - Linear Operators...
Given the following linear programming problem:
Min Z = 2x + 8y
Subject to (1) 8x + 4y 64
(2) 2x + 4y 32
(3) y 2
At the optimal solution the minimum cost is: