Download presentation

Presentation is loading. Please wait.

Published bySeth O'Brien Modified over 3 years ago

2
TV AND VCR PRODUCTION Ali Longwell Cole Guffey

3
The Situation: A company manufactures TVs and VCRs. It must produce at least 20 TV sets per month, but cannot make more than 60 of them. The company also can produce more than 100 VCRs month. Total production of TVs and VCRs combined cannot exceed 140. The profit for a TV set is $45 and $175 for a VCR. Find the number of each item that should be manufactured in order to maximize profit.

4
Constraints x0 y0 x20 x60 y100 x+y140 y140-x x= TVs y= VCRs We want to maximize the profit!

5
OBJECTIVE FUNCTION PROFIT= 45x + 175y We want to maximize the profit! $45 per each TV $175 for each VCR

6
GRAPH 20 40 60 80 100 120 140 160 0 Feasible Reason VERTICES: (60,0) (20,0) (20,100) (40,100) (60,80) Maximum Profit for TV and VCR Production

7
To Find the Maximum Profit… Objective Function: Profit=45x + 175y (60,0): Profit=45(60) + 175(0) Profit= $2700 (20,0): Profit=45(20) + 175(0) Profit= $900 (20,100): Profit=45(20) + 175(100) Profit= $18400 (40,100): Profit=45(40) + 175(100) Profit= $19300 (60,80): Profit=45(60) + 175(80) Profit= $16700 MAXIMUM PROFIT:

8
summary In order to maximize the TV and VCR Production companys profits they would have to sell 40 TV sets and 100 VCRs. By graphing the restraints you can find the feasible region, doing this you find 5 vertices. Of these points, the point (40,100) gives you the highest profit of $19300.

Similar presentations

OK

3.5 Linear Programming Warm-up (IN) 1. Solve the system: (5, 2)

3.5 Linear Programming Warm-up (IN) 1. Solve the system: (5, 2)

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on union budget 2013-14 of india Ppt on python programming language Ppt on life cycle of silkworm Ppt on varactor diode circuit Business ppt on flipkart online Ppt on protein energy malnutrition Ppt on data collection methods in quantitative research Ppt on self development of people Ppt on necessity is the mother of invention Ppt on time management for nurses