e. A television producer designed a program that will include a comedy and advertisements.The advertiser insists on at least 4 minutes of advertising time. The producer insists on notmore than 8 minutes of advertisement. The comedian insists on at least 5 minutes of thecomedy portion. The total time allotted for the comedy and advertisement cannot exceed onehour. If it has been determined that each minute of advertising attracts 400,000 viewers andeach minute of the comedy program attracts 405,000 viewers, how many minutes should begiven to each of the comedy and advertisement in order to maximize the number of viewers?

The linear function that needs to be optimized is called the objective function. The objective…

Answered: 100 me A television producer designed 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
A high school dietician is planning menus for the upcoming month. Anew item will be spaghetti with sauce. The dietician wants each serving tocontain at least 10 grams of protein and at least 40 grams of carbohydrates.Spaghetti contains 5 grams of protein and 32 grams of carbohydrates per cup,and the sauce contains 4 grams of protein and 5 grams of carbohydrates percup. For aesthetic reasons, the dietician wants a ratio of spaghetti to sauce to be4:1.Spaghetti costs $0.30 per cup to buy and prepare, and the sauce $0.40 per cupto buy and prepare. The dietician wants to minimize the cost per serving andkeep the calories per serving 330 or less. The sauce contains 100 calories percup, and spaghetti contains 160 calories per cup.Formulate a linear programming model for this problem.
Basketball field house seats 15,000. Courtside seats sell for $9, baseline seats for $7, and balcony seats for $4. Total revenue for a sell out is 81,000. If half the court side, half the balcony and all baseline seats are sold, the total revenue is 47,500. How many of each type of seat are there?
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
Shelia and Allison ate lunch at a pizza buffet. Shelia ate three slices of mushroom pizza and seven slices of supreme pizza for a total of 3470 calories. Allison ate four slices of mushroom pizza and five slices of supreme pizza for a total of 2980 calories. Assuming the pizza slices are exactly the same size, how many calories are in a slice of this mushroom pizza? 300 calories O 350 calories O 450 calories O 270 calories O 380 calories
Nicole started a new diet that requires each meal to have 340 calories, 6 grams of fiber, and 6 g of fat. The table shows the fiber, fat, and calorie content of one serving of each of three breakfast foods. How many servings of each food should Nicole eat to follow her diet? toast serving(s) cottage cheese serving(s) fruit serving(s) Food Fiber (g) Fat (g) Calories Toast 2 1 100 Cottage cheese 0 5 120 Fruit 2 0 60

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