Set up and solve Exercises 35–40 by the simplex method.
Social Sciences
39. Politics A political party is planning a half-hour television show. The show will have at least 3 minutes of direct requests for money from viewers. Three of the party’s politicians will be on the show—a senator, a congresswoman, and a governor. The senator, a party “elder statesman,” demands that he be on screen 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 the congresswoman. Based on a pre-show survey, it is believed that 35, 40, and 45 (in thousands) viewers will watch the program for each minute the senator, congresswoman, and governor, respectively, are on the air. Find the time that should be allotted to each politician in order to get the maximum number of viewers. Find the maximum number of viewers.
Trending nowThis is a popular solution!
Chapter 4 Solutions
Finite Mathematics and Calculus with Applications (10th Edition)
- After running a mile a day over a period of two weeks, the average amount of weight loss is 2.5 pounds. A dietitian, who publishes health articles in a newspaper, states their new diet program helps with additional weight loss when combining their special diet with running a mile a day over a period of two weeks. Interested in studying the dietitian's article further, you ask friends who have tried the dietitian's new program and you determine their weight loss to be 3.0 pounds in a two-week period, on average. As you set up a hypothesis test to determine if the dietitian's article is correct, what is the dietitian's claim?arrow_forward. New Puppy! You adopt a new puppy from the shelter. He is 15 pounds and growing fast! Thevet predicts he will be 70 pounds when fully grown. You chose a good food for him whichrecommends feeding 1 cup twice per day for every 25 pounds of weight. The food comes in 30pound bags, with 4 cups of food per every pound. A 30 lb bag costs $32.501. At 15 pounds, how many cups of food should you feed your puppy per day?2. Assuming he stays at 15 pounds, how long would it take him to eat a full bag of food?3. When he is full grown, how many cups of food will you feed him per day? I sent this question in already but I don't understand what formula was used to come up with the answer. I have to show all work and explain and I can't figure out how they did it.arrow_forwardVI. Show your complete solution.arrow_forward
- A collection of Halloween candy contains a total of eight chocolate bars with peanuts and coconut bars. The grams of fat in these candy bars exceed the daily maximum desirable fat intake of 60 grams by 59.4 grams. How many bars of each kind of candy are contained in the Halloween collection? Chocolate bar with peanuts has 16.3 grams, and coconut bars have 14.1.arrow_forwardSolve step wise step..... cleraly and in detail.arrow_forwardPart 1 At the grocery store, 70% of the different types of juice come in a bottle holding at least 400 milliliters (mL) and 40% of the different types of juice come in a low-sugar version. Only 25% of the juice varieties are in bottles holding at least 400 mL and have a low-sugar version. What percentage of the different types of juice come in a bottle holding at least 400 ml or are low-sugar? Explain your reasoning.arrow_forward
- Economists theorize that the recent recession has affected men more than women because men are typically employed in industries that have been hit hardest by the recession. Women, on the other hand, are typically employed in services which are considered more recession resistant. A sample of 165 men and a sample of 140 women were drawn. In those samples, 20 men were unemployed, and 13 of the women were unemployed. Complete parts a and b below. Economists theorize that the recent recession has affected men more than women because men are typically employed in industries that have been hit hardest by the recession. Women, on the other hand, are typically employed in services which are considered more recession resistant. A sample of 180men and a sample of, 160 women were drawn. In those samples,19 men were unemployed, and 10 of the women were unemployed. Complete parts a and b below. a. What is the test statistic? What is/are the critical value(s)? b. Determine the p-value and…arrow_forward4. Working alone, Jamie can mow her lawn in 75 minutes. If Bob helps here, then the two of them can mow the lawn in 30 minutes. How long does it take Bob to mow the lawn alone?arrow_forwardPage I of 3 Date: Making a Profit At Elsenhower High School's home games, booster clubs willl often hold raffles to raise money for the for special causes. The Girls' Basketball Team had a gift basket filled with movie items to be Tamed off at the Coaches Versus Cancer night. The girls decided to charge $2 a raffle ticket. The gift basket contained: 4 tickets which cost $10.25 each, 12 boxes of candy which cost $2.50 each, a box of popcorn which costs $12, and 4 pairs of 3-D glasses which cost $4.25 each. Revenue is the amount of money the girls' basketball team brings in - its income. In this case, revenue is a function of number of tickets sold. Let x be the number of tickets sold. What is the revenue function? a. Revenue = f(x) = Cost is how much money the girls' basketball team spent. In this situation, cost is a constant function. What is the cost function? [Hint: The cost function equals the expenses.] b. Cost = Profit = Revenue – Cost. What is the profit function? (Use the…arrow_forward
- Over the last 3 evenings, Yolanda received a total of 105 phone calls at the call center. The first evening, she received 5 fewer calls than the second evening. The third evening, she received 2 times as many calls as the first evening. How many phone calls did she receive each evening? 1st evening _______ 2nd_________________ 3rd__________________arrow_forwardStore Sales 6,121 24,484 97,936 153,025 489,680 Store A sells four times as many products as Store B and one fifth as many as Store C. If Store C sells 122,420 products, how many products does Store B sell?arrow_forwardReview #4, pg. 7. A cable company charges $75 for installation plus $20 per month. Another cable company does not charge an installation fee but charges $35 per month. For how many months of cable service would the total cost from either company be the same? orders a pizza for $12 aarrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage