# 25 points Use the graphing method to minimize the...

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MA 114 - 003 Midterm Exam 2 Form A There are two sides to this exam. Please read each problem carefully. Label problem numbers clearly in your blue book, and start each problem on a new page (you may use the back sides of each page). The point values are shown for each problem. 1. ( 25 points ) Use the graphing method to minimize the objective function 3 x + 4 y subject to the constraints y ≥ - 2 x + 10 y ≥ - 1 2 x + 7 x 0 , y 0 What is the minimum? At what values of x and y does the minimum occur? 2. ( 15 points ) For the following word problem, set up the linear programming problem by writing down the constraints and the objective function. DO NOT PROCEED FURTHER. DO NOT SOLVE. (Note: It may help to first define your variables and organize the information in a table). A furniture company makes chairs and tables. A chair requires 7 hours of carpentry, 1 hour of assembly, and 2 hours of finishing. A table requires 10 hours of carpentry, 1 hour of assembly, and 4 hours of finishing. Each