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- 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.Express In(y-C1 ) =C2 +Inx Use Least Square Method. having these points. (2,5),(3,1),(5,2),(6,0) and 7,1).The process for cleaning up waste in a nuclear reactor core room eliminates 85% of the waste present in the area. If there is 1.7 kg of waste in the room at the beginning of the monitoring period and 2 kg of additionalwaste are generated each week, determine a recurrence relation and initial conditions describing the amount wn, of waste in the core room at the end of week n of the monitoring period.
- Monday's date will be 4/17, Hint: Use Fermat's Little Theorem. Please don't use AI technologys like. ChstgptA new warehouse is being designed and a decision concerning the number of loading docks is required. There are two models based on truckarrival assumptions for the use of this warehouse, given that loading a truck requires 1 hour. Using the first model, we assume that the warehouse could be serviced by one of the many thousands of independent truckers who arrive randomly to obtain a load for delivery. It is known that, on average, 1 of these trucks would arrive each hour. For the second model, assume that the company hires a fleet of 10 trucks that are assigned full time to shipments from this warehouse. Under that assumption the trucks would arrive randomly, but the probability of any truck arriving during a given hour is 0.1. Obtain the appropriate probability distribution for each of these assumptions and compare the results.Although the Hungarian method is an efficient methodfor solving an assignment problem, the branch-and-boundmethod can also be used to solve an assignment problem.Suppose a company has five factories and five warehouses.Each factory’s requirements must be met by a singlewarehouse, and each warehouse can be assigned to only onefactory. The costs of assigning a warehouse to meet afactory’s demand (in thousands) are shown in Table 77.Let xij 1 if warehouse i is assigned to factory j and 0otherwise. Begin by branching on the warehouse assigned tofactory 1. This creates the following five branches: x11 1,x21 1, x31 1, x41 1, and x51 1. How can we obtaina lower bound on the total cost associated with a branch?Examine the branch x21 1. If x21 1, no furtherassignments can come from row 2 or column 1 of the costmatrix. In determining the factory to which each of theunassigned warehouses (1, 3, 4, and 5) is assigned, we cannotdo better than assign each to the smallest cost in…
- Solve using " Pigeonhole Principle "(a) There are 7 different time periods in a day during which classes at BRAC University can bescheduled. If there are 597 classes of different courses held per day, what is the minimumnumber of classrooms that will be needed? (b) What is the minimum number of students, each of whom comes from one of the 64 districtsof Bangladesh, which must be enrolled in BRAC University to guarantee that there are at least200 who come from the same district?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.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.