Presentation on theme: "Applications of Linear Programming"— Presentation transcript:
1Applications of Linear Programming Section 3-6(a.k.a. STORY PROBLEMS)
2Review Graph a system of inequalities. Find the vertices of the feasible region.Determine which lines are intersecting.Solve that system of equations.Plug the vertices into the objective function to find the maximum and minimum values.
3How will the applications be different? Your problems will be in paragraph form.You will have to create your own system of inequalities.You also get to create your own function.
12The AC Telephone Company manufactures two styles of cordless telephones, deluxe and standard. Each deluxe phone nets the company $9 in profit and each standard phone nets $6. Machines A and B are used to make both styles of telephones. Each deluxe model requires 3 hours of machine A time and 1 hour on B. Each standard phone requires 2 hours on both machines. If the company has 12 hours available on machine A and 8 hours available on B, determine the mix of phones that will maximize the company’s profit.
13“determine the mix of phones that will maximize the company’s profit” Let x = # of deluxe phones.Let y = # of standard phones.
14Make a chart. Profit Machine A Time Machine B # Deluxe x $9 3 1 # Standardy$62
15System of Inequalities Can I make negative phones?Does my table help?x ≥ 0y ≥ 03x + 2y ≤ 12x + 2y ≤ 8