Carole's car averages 13 4 miles per gallon in city driving and 22 2 miles per gallon in highway driving If she drove a total of 631 6 miles on 34 gallons of gas, then how many of the gallons were used for city driving a 25 gallons b 20 gallons c 16 gallons d 14 gallons Solve the system of equations by using the inverse of the coefficient matrix 3x 3y z 18 4x 4y z 9 3x y 4z 1 a (2, 5, 3) b ( 3, 5, 2) c (2, 3, 5) d No inverse, no solution for system Use the echelon method to solve the system of three equations in three unknowns 4x 5y z 33 2x 2y z 3 4x y 2z 14 a ( 4, 3, 4) b (3, 4, 4) c ( 4, 4, 3) d No solution A company makes 3 types of cable Cable A requires 3 black wires, 3 white wires, and 2 red wires Cable B requires 1 black, 2 white, and 1 red Cable C requires 2 black, 1 white, and 2 red If 100 black wires, 110 white wires, and 80 red wires were used, then how many of each cable were made a 10 cable A, 20 cable B, 20 cable C b 20 cable A, 20 cable B, 10 cable C c 20 cable A, 20 cable B, 83 cable C d 20 cable A, 93 cable B, 10 cable C There were 28,000 people at a ball game in Los Angeles The day's receipts were $166,000 How many people paid $13 for reserved seats and how many paid $4 for general admission a 22,000 paid $13 6000 paid $4 b 6000 paid $13 22,000 paid $4 c 13,500 paid $13 14,500 paid $4 d 14,500 paid $13 13,500 paid $4 An airline with two types of airplanes, P 1 and P 2 , has contracted with a tour group to provide transportation for a minimum of 400 first class, 900 tourist class, and 1500 economy class passengers For a certain trip, airplane P 1 costs $10,000 to operate and can accomodate 20 first class, 50 tourist class, and 110 economy class passengers Airplane P 2 costs $8500 to operate and can accomodate 18 first class, 30 tourist class, and 44 economy class passengers How many of each type of airplane should be used in order to minimize the operating cost a 9 P 1 planes and 13 P 2 planes b 5 P 1 planes and 22 P 2 planes c 13 P 1 planes and 9 P 2 planes d 14 P 1 planes and 7 P 2 planes A summer camp wants to hire counselors and aides to fill its staffing needs at minimum cost The average monthly salary of a counselor is $2400 and the average monthly salary of an aide is $1100 The camp can accommodate up to 35 staff members and needs at least 20 to run properly They must have at least 10 aides, and may have up to 3 aides for every 2 counselors How many counselors and how many aides should the camp hire to minimize cost a 13 counselors and 16 aides b 19 counselors and 23 aides c 13 counselors and 17 aides d 8 counselors and 12 aides Provide an appropriate response Is it possible that the feasible region of a linear program include more than one distinct area a No b Yes Q25 Wally's Warehouse sells trash compactors and microwaves Wally has space for no more than 77 trash compactors and microwaves together Trash compactors weigh 24 pounds and microwaves weigh 55 pounds Wally is limited to a total of 8100 pounds for these items The profit on a microwave is $95 and on a compactor $39 How many of each should Wally stock to maximize profit potential a 0 trash compactors, 76 microwaves b 1 trash compactor, 76 microwaves c 77 trash compactors, 1 microwave d 0 trash compactors, 77 microwaves

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Carole's car averages 13.4 miles per gallon in city driving and 22.2 miles per gallon in highway driving. If she drove a total of 631.6

Carole's car averages 13.4 miles per gallon in city driving and 22.2 miles per gallon in highway driving. If she drove a total of 631.6 miles on 34 gallons of gas, then how many of the gallons were used for city driving?

a. 25 gallons

b. 20 gallons

c. 16 gallons

d. 14 gallons

Solve the system of equations by using the inverse of the coefficient matrix.

3x + 3y + z = 18

4x - 4y - z = -9

3x + y + 4z = -1

a. (2, 5, -3)

b. (-3, 5, 2)

c. (2, -3, 5)

d. No inverse, no solution for system

Use the echelon method to solve the system of three equations in three unknowns.

4x + 5y + z = -33

2x - 2y - z = -3

4x + y + 2z = -14

a. (-4, 3, -4)

b. (3, -4, -4)

c. (-4, -4, 3)

d. No solution

. A company makes 3 types of cable. Cable A requires 3 black wires, 3 white wires, and 2 red wires. Cable B requires 1 black, 2 white, and 1 red. Cable C requires 2 black, 1 white, and 2 red. If 100 black wires, 110 white wires, and 80 red wires were used, then how many of each cable were made?

a. 10 cable A, 20 cable B, 20 cable C

b. 20 cable A, 20 cable B, 10 cable C

c. 20 cable A, 20 cable B, 83 cable C

d. 20 cable A, 93 cable B, 10 cable C

There were 28,000 people at a ball game in Los Angeles. The day's receipts were $166,000. How many people paid $13 for reserved seats and how many paid $4 for general admission?

a. 22,000 paid $13; 6000 paid $4.

b. 6000 paid $13; 22,000 paid $4.

c. 13,500 paid $13; 14,500 paid $4.

d. 14,500 paid $13; 13,500 paid $4.

An airline with two types of airplanes, P₁and P₂, has contracted with a tour group to provide transportation for a minimum of 400 first class, 900 tourist class, and 1500 economy class passengers. For a certain trip, airplane P₁costs $10,000 to operate and can accomodate 20 first class, 50 tourist class, and 110 economy class passengers. Airplane P₂costs $8500 to operate and can accomodate 18 first class, 30 tourist class, and 44 economy class passengers. How many of each type of airplane should be used in order to minimize the operating cost?

a. 9 P₁planes and 13 P₂planes

b. 5 P₁planes and 22 P₂planes

c. 13 P₁planes and 9 P₂planes

d. 14 P₁planes and 7 P₂planes

. A summer camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The average monthly salary of a counselor is $2400 and the average monthly salary of an aide is $1100. The camp can accommodate up to 35 staff members and needs at least 20 to run properly. They must have at least 10 aides, and may have up to 3 aides for every 2 counselors. How many counselors and how many aides should the camp hire to minimize cost?

a. 13 counselors and 16 aides

b. 19 counselors and 23 aides

c. 13 counselors and 17 aides

d. 8 counselors and 12 aides

. Provide an appropriate response.

Is it possible that the feasible region of a linear program include more than one distinct area?

a. No

b. Yes

Q25. Wally's Warehouse sells trash compactors and microwaves. Wally has space for no more than 77 trash compactors and microwaves together. Trash compactors weigh 24 pounds and microwaves weigh 55 pounds. Wally is limited to a total of 8100 pounds for these items. The profit on a microwave is $95 and on a compactor $39. How many of each should Wally stock to maximize profit potential?

a. 0 trash compactors, 76 microwaves

b. 1 trash compactor, 76 microwaves

c. 77 trash compactors, 1 microwave

d. 0 trash compactors, 77 microwaves