To graph: A pie chart of total six-month sales of the four territories by use of the table. January February March April May June Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe Northwest $123,200 $86,400 $115,800 $73,700 $133,400 $91,100 $136,700 $92,600 $112,900 $65,300 $135,000 $78,400 Northeast $214,700 $121,300 $228,400 $133,100 $246,600 $164,800 $239,000 $153,200 $266,100 $185,000 $279,300 $190,100 Southwest $88,300 $51,000 $72,100 $45,700 $97,700 $58,300 $104,000 $67,800 $125,000 $78,300 $130,400 $74,500 Southeast $143,200 $88,700 $149,900 $91,300 $158,400 $94,000 $127,700 $70,300 $145,700 $79,400 $162,000 $88,600

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Answer 1

Question

Chapter 21.I, Problem 7RE

To determine

To graph: A pie chart of total six-month sales of the four territories by use of the table.

January February March April May June

Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe

Northwest $123,200 $86,400 $115,800 $73,700 $133,400 $91,100 $136,700 $92,600 $112,900 $65,300 $135,000 $78,400

Northeast $214,700 $121,300 $228,400 $133,100 $246,600 $164,800 $239,000 $153,200 $266,100 $185,000 $279,300 $190,100

Southwest $88,300 $51,000 $72,100 $45,700 $97,700 $58,300 $104,000 $67,800 $125,000 $78,300 $130,400 $74,500

Southeast $143,200 $88,700 $149,900 $91,300 $158,400 $94,000 $127,700 $70,300 $145,700 $79,400 $162,000 $88,600

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Suppose we have a linear program in standard equation form maximize cTx subject to Ax = b. x ≥ 0. and suppose u, v, and w are all optimal solutions to this linear program. (a) Prove that zu+v+w is an optimal solution. (b) If you try to adapt your proof from part (a) to prove that that u+v+w is an optimal solution, say exactly which part(s) of the proof go wrong. (c) If you try to adapt your proof from part (a) to prove that u+v-w is an optimal solution, say exactly which part(s) of the proof go wrong.

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Microsoft Excel snapshot for random sampling: Also note the formula used for the last column 02 x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51)) A B 1 No. States 2 1 ALABAMA Rand No. 0.925957526 3 2 ALASKA 0.372999976 4 3 ARIZONA 0.941323044 5 4 ARKANSAS 0.071266381 Random Sample CALIFORNIA NORTH CAROLINA ARKANSAS WASHINGTON G7 Microsoft Excel snapshot for systematic sampling: xfx INDEX(SD52:50551, F7) A B E F G 1 No. States Rand No. Random Sample population 50 2 1 ALABAMA 0.5296685 NEW HAMPSHIRE sample 10 3 2 ALASKA 0.4493186 OKLAHOMA k 5 4 3 ARIZONA 0.707914 KANSAS 5 4 ARKANSAS 0.4831379 NORTH DAKOTA 6 5 CALIFORNIA 0.7277162 INDIANA Random Sample Sample Name 7 6 COLORADO 0.5865002 MISSISSIPPI 8 7:ONNECTICU 0.7640596 ILLINOIS 9 8 DELAWARE 0.5783029 MISSOURI 525 10 15 INDIANA MARYLAND COLORADO

Answer 2

Question

Chapter 21.I, Problem 7RE

To determine

To graph: A pie chart of total six-month sales of the four territories by use of the table.

January February March April May June

Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe

Northwest $123,200 $86,400 $115,800 $73,700 $133,400 $91,100 $136,700 $92,600 $112,900 $65,300 $135,000 $78,400

Northeast $214,700 $121,300 $228,400 $133,100 $246,600 $164,800 $239,000 $153,200 $266,100 $185,000 $279,300 $190,100

Southwest $88,300 $51,000 $72,100 $45,700 $97,700 $58,300 $104,000 $67,800 $125,000 $78,300 $130,400 $74,500

Southeast $143,200 $88,700 $149,900 $91,300 $158,400 $94,000 $127,700 $70,300 $145,700 $79,400 $162,000 $88,600

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Answer 3

Question

Chapter 21.I, Problem 7RE

To determine

To graph: A pie chart of total six-month sales of the four territories by use of the table.

January February March April May June

Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe

Northwest $123,200 $86,400 $115,800 $73,700 $133,400 $91,100 $136,700 $92,600 $112,900 $65,300 $135,000 $78,400

Northeast $214,700 $121,300 $228,400 $133,100 $246,600 $164,800 $239,000 $153,200 $266,100 $185,000 $279,300 $190,100

Southwest $88,300 $51,000 $72,100 $45,700 $97,700 $58,300 $104,000 $67,800 $125,000 $78,300 $130,400 $74,500

Southeast $143,200 $88,700 $149,900 $91,300 $158,400 $94,000 $127,700 $70,300 $145,700 $79,400 $162,000 $88,600

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Answer 4

Question

Chapter 21.I, Problem 7RE

To determine

To graph: A pie chart of total six-month sales of the four territories by use of the table.

January February March April May June

Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe

Northwest $123,200 $86,400 $115,800 $73,700 $133,400 $91,100 $136,700 $92,600 $112,900 $65,300 $135,000 $78,400

Northeast $214,700 $121,300 $228,400 $133,100 $246,600 $164,800 $239,000 $153,200 $266,100 $185,000 $279,300 $190,100

Southwest $88,300 $51,000 $72,100 $45,700 $97,700 $58,300 $104,000 $67,800 $125,000 $78,300 $130,400 $74,500

Southeast $143,200 $88,700 $149,900 $91,300 $158,400 $94,000 $127,700 $70,300 $145,700 $79,400 $162,000 $88,600

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Answer 5

Chapter 21.I, Problem 7RE

To determine

To graph: A pie chart of total six-month sales of the four territories by use of the table.

January February March April May June

Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe

Northwest $123,200 $86,400 $115,800 $73,700 $133,400 $91,100 $136,700 $92,600 $112,900 $65,300 $135,000 $78,400

Northeast $214,700 $121,300 $228,400 $133,100 $246,600 $164,800 $239,000 $153,200 $266,100 $185,000 $279,300 $190,100

Southwest $88,300 $51,000 $72,100 $45,700 $97,700 $58,300 $104,000 $67,800 $125,000 $78,300 $130,400 $74,500

Southeast $143,200 $88,700 $149,900 $91,300 $158,400 $94,000 $127,700 $70,300 $145,700 $79,400 $162,000 $88,600

Answer 6

Chapter 21.I, Problem 7RE

To determine

To graph: A pie chart of total six-month sales of the four territories by use of the table.

January February March April May June

Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe

Northwest $123,200 $86,400 $115,800 $73,700 $133,400 $91,100 $136,700 $92,600 $112,900 $65,300 $135,000 $78,400

Northeast $214,700 $121,300 $228,400 $133,100 $246,600 $164,800 $239,000 $153,200 $266,100 $185,000 $279,300 $190,100

Southwest $88,300 $51,000 $72,100 $45,700 $97,700 $58,300 $104,000 $67,800 $125,000 $78,300 $130,400 $74,500

Southeast $143,200 $88,700 $149,900 $91,300 $158,400 $94,000 $127,700 $70,300 $145,700 $79,400 $162,000 $88,600

Answer 7

Chapter 21.I, Problem 7RE

To determine

To graph: A pie chart of total six-month sales of the four territories by use of the table.

January February March April May June

Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe Standard Deluxe

Northwest $123,200 $86,400 $115,800 $73,700 $133,400 $91,100 $136,700 $92,600 $112,900 $65,300 $135,000 $78,400

Northeast $214,700 $121,300 $228,400 $133,100 $246,600 $164,800 $239,000 $153,200 $266,100 $185,000 $279,300 $190,100

Southwest $88,300 $51,000 $72,100 $45,700 $97,700 $58,300 $104,000 $67,800 $125,000 $78,300 $130,400 $74,500

Southeast $143,200 $88,700 $149,900 $91,300 $158,400 $94,000 $127,700 $70,300 $145,700 $79,400 $162,000 $88,600

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 21.I - Use Table 21-1 to answer the following questions...Ch. 21.I - Use Exhibits 21-1 and 21-2 to answer the following...Ch. 21.I - Prob. 3TIE Ch. 21.I - Prob. 4TIE Ch. 21.I - Prob. 5TIE Ch. 21.I - Prob. 6TIE Ch. 21.I - Prob. 7TIE Ch. 21.I - Prob. 8TIE Ch. 21.I - Prob. 9TIE Ch. 21.I - Prob. 10TIE

Solution Summary: The author explains how to draw a pie chart of total six-month sales of the four territories by using the table.

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Chapter 21 Solutions

	January		February		March		April		May		June
	Standard	Deluxe	Standard	Deluxe	Standard	Deluxe	Standard	Deluxe	Standard	Deluxe	Standard	Deluxe
Northwest	$123,200	$86,400	$115,800	$73,700	$133,400	$91,100	$136,700	$92,600	$112,900	$65,300	$135,000	$78,400
Northeast	$214,700	$121,300	$228,400	$133,100	$246,600	$164,800	$239,000	$153,200	$266,100	$185,000	$279,300	$190,100
Southwest	$88,300	$51,000	$72,100	$45,700	$97,700	$58,300	$104,000	$67,800	$125,000	$78,300	$130,400	$74,500
Southeast	$143,200	$88,700	$149,900	$91,300	$158,400	$94,000	$127,700	$70,300	$145,700	$79,400	$162,000	$88,600