ine senator should be alotted minutes.(Simplify your answer.)The congresswoman should be allotted minutes.(Simplify your answer.)The governor should be allotted minutes.(Simplify your answer.)The maximum number of viewers is 0(Simplify your answer.)Cms A political party is planning a two-hour television show. The show will have at least 12 minutes of direct requests for money from viewers. Three of theparty's politicians will be on the show-a senator, a congresswoman, and a governor. The seriator, a party "elder statesman," demands that he be onscreen for at least twice as long as the governor. The total time taken by the senator and the governor must be at least twice the time taken by thecongresswoman. Based on a pre-show survey, it is believed that 39, 43, and 47 (in thousands) viewers will watch the program for each minute thesenator, congresswoman, and govemor, respectively, are on the air. Find the time that should be allotted to each politician in order to get the maximumnumber of viewers. Find the maximum number of viewers.The quantity to be maximized, z, is the number of viewers in thousands. Let x, be the total number of minutes allotted to the senator, x₂ be the totalnumber of minutes allotted to the congresswoman, and x3 be the total number of minutes allotted to the governor. What is the objective function?2= x₁ + x₂+x₂The senator should be allotted minutes.(Simplify your answer.)The congresswoman should be allotted minutes.(Simplify your answer.)

Answered: Image /qna-images/answer/72cf898c-ff74-4249-a11d-bf4f55292d30.jpg

Answered: A political party is planning a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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As part of a weight reduction program, a man designs a monthly exercise program consisting of bicycling, jogging, and swimming. He would like to exercise at most 32 hours, devote at most 2 hours to swimming, and jog for no more than the total number of hours bicycling and swimming. The calories burned per hour by bicycling, jogging, and swimming are 200, 573, and 257, respectively. How many hours should be allotted to each activity to maximize the number of calories burned? If he loses 1 pound of weight for each 3,500 calories burned, how many pounds will he lose each month exercising? How many hours should be allotted to each activity to maximize the number of calories burned? hours for swimming hours for bicycling hours for jogging C
Alphonse donates a fair amount of money to various charities each year. He wants to know that his money is actually going to do the charity work, though. Suppose that 90% of the charities that he donates to are probably reputable and 10% are probably not. Also, suppose that 80% of the money that goes to the real charities ends up actually being used for the charity work, while 20% goes to administrative costs. If he donates the same amount to each charity, then what percent probably goes to actual charity work? 72| % SUBMIT ANSWER O ASK FOR HELP TURN IT IN to search 344 111 80 Y U D H. V
a theatre has 800 seats, divided into orchestra, main and balcony. Orchestra seats sell for $40, main fo $30 and balcony for $2. If all the seats are sold revenue to the hteatre s $23,200. If all the main and balcony seats are sold but only half the orchestra seats are sold, the gross revenue os $20,000. How many are there of each kind of seat?
A local news channel plans a 36-minute Saturday morning news show. The show will be divided into three segments involving sports, news, and weather. Market research has shown that the sports segment should be twice as long as the weather segment. The total time taken by the sports and weather segments should be twice the time taken by the news segment. On the basis of the market research, it is believed that 50, 70, and 60 (in thousands) viewers will watch the program for each minute the sports, news, and weather segments, respectively, are on the air. Use the simplex method to complete parts (a) and (b). (a) Find the time that should be allotted to each segment in order to get the maximum number of viewers. Find the number of viewers. Set up the linear programming problem. Let x₁, x₂, and x3 be the number of minutes taken by the sports, news, and weather segments, respectively, and let z be the number of viewers in thousands. subject to x₁ + x₂ + x3 -X₁ + 2x3 -X₁+2x2-x3 x₁20, X₂20, x3…
As part of a weight reduction program, a man designs a monthly exercise program consisting of bicycling, jogging, and swimming. He would like to exercise at most 36 hours, devote at most 4 hours to swimming, and jog for no more than the total number of hours bicycling and swimming. The calories burned by this person per hour by bicycling, jogging, and swimming are 200, 694, and 256, respectively. How many hours should be allotted to each activity to maximize the number of calories burned? What is the maximum number of calories he will burn? (Hint: Write the constraint involving jogging in the form ≤0.) Let x, be the number of hours spent bicycling, let x₂ be the number of hours spent jogging, and let x3 be the number of hours spent swimming. What is the objective function? z = x₁ + x₂ + x3 22/11
A chef must decide how many chocolate lava cakes to prepare for the upcoming Mother's Day Dinner special. The chef can either prepare 50, 100, or 150 lava cakes. Assume that demand for the lava cakes can be 50, 100, or 150. Each dish costs $5 to make and is priced at for $7 on the menu. Unsold cakes are donated to a nearby charity center. Assume that there is no opportunity cost for lost sales. The cafe owner told the chef that in the past years, the probability that clients will order 50 cakes is 0.30; the probability they will order 100 cakes is 0.50, and the probability that they will order 150 cakes is 0.20. What is the best alternative using the EMV criterion?
Lamar works as a car audio technician. Last week a total of 27 cars came into his shop and he made a total of $3,049.73. If Lamar normally charges $99.99 for installation of a stereo and $149.99 for the installation of a speaker system, how many of each component did he install last week?
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