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- Please show work and I will upvote for the correct answer. Any help is appreciated! Consider an ocean with x 2 4 islands, some of which are connected by bridges. A group of one or more islands form a Coalition if it's possible to travel between any of the island(s) in the Coalition using bridges. These Coalitions are also as large as possible. Among these x islands, there are x – 2 Coalitions. For example, for the case where x = 5→ there would be k – 2 = 3 Coalitions. In this example, there would be 3 coalitions with 2 islands-2 island-1 island, or 3 islands-1 island-1 island. Determine the maximum number of bridges that can exist among these islands and prove your answer.Room A Room B 2 7 5 Room C | Room D 6 Room E Figure 1 i. He wanted to give a tour for his friend. Is that possible for them to walk through every doorway (label as 1, 2, 3, 4, 5, 6, and 7) exactly once? If so, which room must they begin and end the tour? Explain. Is it possible to tour the house visiting each room (label as A, B, C, D, E) exactly ii. once (not necessary using every doorway)? Explain.Task 3 (A)
- Ital all U| * Starred 3. (Use the graphical method for the following problem): A technology company manufac- tures televisions and soundbars. The following table gives the labor requirements and profits per Snoozed automobile: Sent r 19, 2022, 6:43 PM Chat Televisions Soundbars 10 labor-hours 8 labor-hours 1 labor-hours Assemble Load and Transport 2 labor-hours ons! Profit $150 $100 No conversations Each day, 360 labor-hours are available to assemble these products and 60 labor-hours are avail- able to load and trasport them. The manufacturer wants to determine how many televisions and soundbars to produce of each type in order to maximize profit under these constraints. Start a chat Spaces (a) Define variables for modeling this scenario, and write down the objective function. (Ъ) Identify the constraints of the problem. (c) List the corner points of the feasible region. No spaces yet Create or find a space (d) the total profit? How many televisions and soundbars should be produced…A farmer wants to decide which of the three crops he should plant on his 100-acre farm. The profit from each is dependent on the rainfall during the growing seasons. The farmer has categorized the amount of rainfall as high, medium, low. His estimated profit for each is shown in the table. If the farmer wishes to plant only one crop, decide which will be his choice using the EMV rule, prove your judgement by comparing the EMV of each crop. (Indicate the EMV in each crop, comparison and the right choice).Choose one statistic from the construction choices and one statistic from the receptionist choices that have the same salart construction: minimum, 1st quartile, median, 3rd quartile, maximum receptionist: minimum, 1st quartile, median, 3rd quartile, maximum
- Montreal Mini-Covid Hospital is serving COVID-19 patients. The hospital is receiving 20 patients per hour for COVID test. At any given time, there are 5 patients waiting in line while the front desk is serving each patient in 3 minutes and directing 50% of patients to Dr. John and 50% of patients to Dr. Mary. At any given time, there are 15 patients in Dr. John's waiting room while he is serving each patient in 4 minutes and admitting 20% of his patients for treatment. Likewise, at any given time, there are 8 patients in Dr. Mary's waiting room while she is serving each patient in 5 minutes and admitting 15% of her patients for treatment. All details are presented in the process diagram below: Dr. John (GP) 20% Admit Service time = 4 min Waiting patients = 15 Patients 50% 80% 20 / hour Front Desk Waiting Patients - 5 Service time = 15%, 3 min 50% Don't admit Dr. Mary (GP) Service time = 5 min 85% Waiting patients = 8 How long in minutes, does an admitted patient spend in the system on…TRUE (1) OR FALSE (2) According to Statistics South Africa (2011), the total human population of KaNgove, a village in Giyani (South Africa), is 6376, while the total number of households is 1545. In this study, the population unit is the households since the study seeks to study indigenous systems of households. Based on the facts above: The population size of this study will be (N=6376)? TRUE / FALSE The population size of this study will be (N=1545)? TRUE/FALSE The sample size will be n=155? TRUE/FALSEplease send handwritten solution for part d
- system is irrelevant, or if the quantities of all the goods change in the same ratio they will be equal, for then "If the pricis of all the goods change in the same ratio, the two indices will be equal, for then the weighting 10-10. With regard to Laspeyre's dned "Påasche's price inaet fumbers, it is maintained that, o weighting systems are the same relatively." (Karmal) the two Prove the above. On is inricyoFind the Eulerian trail