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Chapter 7 Problems

# Chapter 7 Problems - X1 X2 RHS Dual Minimize 1 1 Constraint...

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Problem 7-14 The best combination that yields the highest profit is: 40 Air conditioners and 60 Large Fans, with a profit of \$1,900. Calculations and graph A L Z 0 0 0 0 120 1800 70 0 1750 40 60 1900 A: Air Conditioner L: Large Fans Z: Profit

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Problem 7-16 The Mayor should use 175 radio ads and 10 TV ads. This will allow the Mayor to reach 595,000 people. Radio TV RHS Dual Maximize 3000 7000 Budget 200 500 < = 40000 15 Maximum No. of Ads 1 0 < = 175 0 Minimum No. of TV Ads 0 1 > = 10 -500 Maximum No. of Radio Ads 1 -1 < = 165 0 Solution-> 175 10 595000
Problem 7-24 The smallest investment that a professor can make to meet the goals set is: To invest a total of \$3,179.348 (\$1,358.696 and \$1,820.652). Columna1

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Unformatted text preview: X1 X2 RHS Dual Minimize 1 1 Constraint 1 0.36 0.24 >= 720 Constraint 2 1.67 1.5 >= 5000-0.5435 Constraint 3 0.04 0.08 >= 200-2.3098 Solution-> 1358.696 1820.652 3179.348 X1 X2 Z 3333.333 3333.333 5000 5000 1358.696 1820.652 3179.348 Problem 7-29 (a) The optimal solution is x = 2, y = 3. (b) If the first constrain is altered, the feasible region changes from x=4, y=4 to x=4, y=2.6667. In additional the optimal solution changes from (x,y) = (2,3) to (x,y)=(2.857, 1.714). X Y Z 4 24 4 16 2 3 26 X Y Z 2.666667 16 4 16 2.857143 1.714286 21.71429...
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Chapter 7 Problems - X1 X2 RHS Dual Minimize 1 1 Constraint...

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