Use the two steps for solving a linear programming problem, given in the box on page 606, to solve the problems in Exercises 17-23.
On June 24.1948. the former Soviet Union blocked all land and water routes through East Germany to Berlin. A gigantic airlift was organized using American and British planes to bring food, clothing. and other supplies to the more than 2 million people in West Berlin. The cargo capacity was 30,1000 cubic feet for an American plane and 20.000cubic feet for a British plane To break the Soviet blockade, the Western Allies had to maximize cargo capacity but were subject to the following restrictions:
• No more than 44 planes could be used.
• The larger American planes required 16 personnel per flight, double that of the requirement for the British planes, The total number of personnel available could not exceed 512.
• The cost of an American fight was $9000 and the cost of a British flight was $5000. Total weekly costs could not exceed $300,000.
Find the number of American and British planes that were used to maximize cargo capacity

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Chapter 8 Solutions
ALGEBRA+TRIGONOMETRY-MYMATHLAB
- ma Classes Term. Spring 2025 Title Details Credit Hours CRN Schedule Type Grade Mode Level Date Status Message *MATHEMATICS FOR MANAGEME... MTH 245, 400 4 54835 Online Normal Grading Mode Ecampus Undergradu... 03/21/2025 Registered **Web Registered... *SOIL SCIENCE CSS 205, 400 0 52298 Online Normal Grading Mode Undergraduate 03/21/2025 Waitlisted Waitlist03/21/2025 PLANT PATHOLOGY BOT 451, 400 4 56960 Online Normal Grading Mode Undergraduate 03/21/2025 Registered **Web Registered... Records: 3 Schedule Schedule Detailsarrow_forwardHere is an augmented matrix for a system of equations (three equations and three variables). Let the variables used be x, y, and z: 1 2 4 6 0 1 -1 3 0 0 1 4 Note: that this matrix is already in row echelon form. Your goal is to use this row echelon form to revert back to the equations that this represents, and then to ultimately solve the system of equations by finding x, y and z. Input your answer as a coordinate point: (x,y,z) with no spaces.arrow_forward1 3 -4 In the following matrix perform the operation 2R1 + R2 → R2. -2 -1 6 After you have completed this, what numeric value is in the a22 position?arrow_forward
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- Solve the following system of equations using matrices: -2x + 4y = 8 and 4x - 3y = 9 Note: This is the same system of equations referenced in Question 14. If a single solution exists, express your solution as an (x,y) coordinate point with no spaces. If there are infinite solutions write inf and if there are no solutions write ns in the box.arrow_forwardI need help explaining on this examplearrow_forwardConsider the table of values below. x y 2 64 3 48 4 36 5 27 Fill in the right side of the equation y= with an expression that makes each ordered pari (x,y) in the table a solution to the equation.arrow_forward
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