Answered: Solve the following Integer Programming…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter3: Solving Equation And Problems

Section3.5: Equations With The Variable On Both Sides

Problem 19P

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If during the following year it is predicted that each comedy skit will generate 30 thousand and each musical number 20 thousand, find the maximum income for the year. A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs 3000, and brings in 20,000 from the shows sponsors. Each musical number requires 1 hour of rehearsal time, costs 6000, and generates 12,000. If 250 hours are available for rehearsal and 600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.
A business executive realizes that he is out of shape so he begins an exercise program in which he jogs daily and each day thereafter jogs 3% more miles than he did on the previous day. The program will be complete when he has jogged a total of at least 66 miles. If he jogs 3 miles on the first day, what is the minimum number of days he will have to exercise to complete the program?
Verify that in the example to the right, the same result isobtained if the constraint x + y = 20 is used to eliminate x rather than y.

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Solve the following Integer Programming problem Maximize z = 2x1 + 3x2 subject to 5x1 + 7x2 \leq35 4x1 + 9x2 \leq36 x1, x2 \geq 0 and integer