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- A marketing research group conducting a telephone survey must contact at least 150 wives and 120 husbands. It costs P100 to make a daytime call and (because of higher labor costs) P150 to make an evening call. On average, daytime calls reach wives 30% of the time, husbands 10% of the time, and neither of these 60% of the time, whereas evening calls reach wives 30% of the time, husbands 30% of the time, and neither of these 40% of the time. Staffing considerations mean that daytime calls must be less than or equal to half of the total calls made. How many should be interviewed at each period to minimize the cost of completing the survey? fomulate the LP Model; identify the decision variables used in the model; and determine the optimal solution using graphical method.Suppose you always eat a particular brand of cookes out of the standart sized package, it comes in from the store, which has 4 rows of cookies in equal amounts. You notice that when you eat 3 at a time, there's always one cookie left over. You decide when you purchase the next package, you'll eat 5 at a time, but still, there's always one cookie left over. Since it really is'nt helpfull to always have a leftover cookie, you decide to eat 7 at a time, and there are no cookies leftover, but you notice that in your last grab of 7 cookies, you're one cookie short. A. If you know there are less tha 100 cookies in the package, how many cookies are there? Solve the problem, showing each step of your work, and explain your thinking. B. You decide to space out your cookie eating, and eat one cookie a day, how many weeks will one package of cookies last? C. If you eat 2 cookies a day, how many days will one package of cookies last?Suppose you always eat a particular brand of cookes out of the standart sized package, it comes in from the store, which has 4 rows of cookies in equal amounts. You notice that when you eat 3 at a time, there's always one cookie left over. You decide when you purchase the next package, you'll eat 5 at a time, but still, there's always one cookie left over. Since it really is'nt helpfull to always have a leftover cookie, you decide to eat 7 at a time, and there are no cookies leftover, but you notice that in your last grab of 7 cookies, you're one cookie short. C. If you eat 2 cookies a day, how many days will one package of cookies last?
- Suppose you always eat a particular brand of cookes out of the standart sized package, it comes in from the store, which has 4 rows of cookies in equal amounts. You notice that when you eat 3 at a time, there's always one cookie left over. You decide when you purchase the next package, you'll eat 5 at a time, but still, there's always one cookie left over. Since it really is'nt helpfull to always have a leftover cookie, you decide to eat 7 at a time, and there are no cookies leftover, but you notice that in your last grab of 7 cookies, you're one cookie short. B. You decide to space out your cookie eating, and eat one cookie a day, how many weeks will one package of cookies last?Suppose you always eat a particular brand of cookes out of the standart sized package, it comes in from the store, which has 4 rows of cookies in equal amounts. You notice that when you eat 3 at a time, there's always one cookie left over. You decide when you purchase the next package, you'll eat 5 at a time, but still, there's always one cookie left over. Since it really is'nt helpfull to always have a leftover cookie, you decide to eat 7 at a time, and there are no cookies leftover, but you notice that in your last grab of 7 cookies, you're one cookie short. A. If you know there are less tha 100 cookies in the package, how many cookies are there? Solve the problem, showing each step of your work, and explain your thinking.A forest consists of two types of trees: those that are 0-5 ft and those that are taller than 5 ft. Each year, 40% of all 0-5-ft tall trees die, 10% are sold for $10 each, 30% stay between 0 and 5 ft, and 20% grow to be more than 5ft. Each year, 50% of all trees taller than 5ft are sold for $40, 20% are sold for $20, and 30% remain in the forest (continue growing). If a tree (less than 5 ft) is planted, what is the expected revenue earned from that tree ? Select one:a. $11.22b. $19.80c. $14.16d. $17.44e. $16.34f. $15.51
- We need to assign 4 students (Daniel, Jeremy, Xiaoying, Ashu) to 3 different teams (Team 1, Team 2, and Team 3). Each team needs to have at least 1 student. To maximize productivity, it has been determined that Ashu and Jeremy cannot be on the same team. How many different ways are there to assign the teams?We wish to demonstrate that the average time to graduate from school is afected by the students who have taken AP calculus in hgh school. Specially, we wish to demonstrate the students who have taken AP calculus in high school graduate an average of more than .25 years sooner than students who have not taken AP calculus in high school. If we let μ1 denote the average time to graduate for students who have not taken AP calculus and μ2 dentoe the average time to graduate for students who have taken AP calculus, what is the apropriate null hypothesisSuppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…
- In a recent study, 50males used a new weight-loss supplement, and 38 of them experienced weight loss after two weeks. In the same study, 20 females used the same supplement, and 16of them experienced weight loss after two weeks.Fill in t he blanks below to make the most reasonable statement possible. The new weight-loss supplement was less effective on ▼(Choose one: males/females) in the study. That is because only ____% of them lost weight after two weeks, whereas ____% of the ▼(Choose one:males/females) lost weight after two weeks.Within a group of 12 women, there are five who have known each other for a long time and have an excellent relationship. The other 7 women do not know the 5 friends nor do they know each other. Whenever a subset of the five friends is equal to or greater than 50% of the number of people in another work group (for example, if there are two of the five friends in the work group of three or four people), then the group work becomes high performance It is desired to form a working group by selecting five women from the 12 women. What is the probability that the work group is high performing? Please indicate your answer in the space provided below as a number between zero and one, to four decimal places.A national study found that treating people appropriately forhigh blood pressure reduced their overall mortality by 20%.Treating people adequately for hypertension has been difficult because it is estimated that 50% of hypertensives donot know they have high blood pressure, 50% of those whodo know are inadequately treated by their physicians, and50% who are appropriately treated fail to follow this treatment by taking the right number of pills. 2 If the preceding 50% rates were each reduced to40% by a massive education program, then what effectwould this change have on the overall mortality rate amongtrue hypertensives; that is, would the mortality rate decreaseand, if so, what percentage of deaths among hypertensivescould be prevented by the education program?