# QM Spring2017 - TUTORIAL - Additional Problems - Chapter 7 LP Graphical

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Vietnam International University (VNU) HCMC INTERNATIONAL UNIVERSITY (IU) Semester 02, Academic Year 2016 - 2017 ------o0o------ Page 1 of 3 Course: Quantitative Methods for Business (BA168IU) | Lecturer: Mr. Nguyen Minh Tuan Paper Title: TUTORIAL MATERIAL 06 | ADDITIONAL PROBLEMS Chapter 07: Linear Programming: The Graphical Method TUTORIAL MATERIAL 06 ADDITIONAL PROBLEMS (Chapter 07: Linear Programming: The Graphical Method) Problem 01: The Flair Furniture Company produces inexpensive tables and chairs Processes are similar in that both require a certain amount of hours of carpentry work and in the painting and varnishing department Each table takes 4 hours of carpentry and 2 hours of painting and varnishing Each chair requires 3 of carpentry and 1 hour of painting and varnishing There are 240 hours of carpentry time available and 100 hours of painting and varnishing Each table yields a profit of \$70 and each chair a profit of \$50. Determine the best combination of tables and chairs to produce to reach the maximum profit. Problem 02: The Electrocomp Corporation manufactures two electrical products: air conditioners and large fans. The assembly process for each is similar in that both require a certain amount of wiring and drilling. Each air conditioner takes 3 hours of wiring and 2 hours of drilling. Each fan must go through 2 hours of wiring and 1 hour of drilling. During the next production period, 240 hours of wiring time are available and up to 140 hours of drilling time may be used. Each air conditioner sold yields a profit of \$25. Each fan assembled may be sold for a \$15 profit. (a) Formulate and solve this LP production mix situation to find the best combination of air conditioners and fans that yields the highest profit. Use the corner point graphical approach. (b) Find the range of objective function coefficient of decision variable regarding the number of air conditions to be produced such that remains the optimal solution. Problem 03: A candidate for mayor in a small town has allocated \$40,000 for last-minute advertising in the days preceding the election. Two types of ads will be used: radio and television. Each radio ad costs \$200 and reaches an estimated 3,000 people. Each television ad costs \$500 and reaches an estimated 7,000 people. In planning the advertising campaign, the campaign manager would like to reach as many people as possible, but she has stipulated that at least 10 ads of each type must be used. Also, the number of radio ads must be at