A commuter train travels 39 miles in 35 minutes. What is its speed in miles per hour? The speed is approximately (Round to the nearest tenth as needed.)
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- A car is driving at 95 kilometers per hour. How far, in meters, does it travel in 4 seconds?A company with a plant in Basel can be served by bothrail and truck at a cost of €250 and €1500 per load, respectively. Thetransit time for the train is 15 days while for the truck is 5 days. (a) Ifthe daily cost of transit inventory is €100, which transportation modeis more economical attractive? (b) What will be the costs involved, ifthe daily inventory carrying cost is €50? (c) Identify related principlesneed to consider when designing a transportation system.CoastalFast is a commuter train company. On regional route SUN, CoastalFastcurrently charges $8 per passenger (fare). Monthly revenue for this route is $112,000. Currently variable cost is $4.25 per passenger and fixed cost is $54,750 per month.(complete the calculations for a month) Required: Enter this information into the “Data Table” in your CVPTemplate (Hint you will need to calculate the number of passengers). Set up formulas to calculate, Revenue, Cost, & Income Use formulas to complete the contribution margin income statement. Use scenario manager to save this original data that you added to the “Data Table”. [name this scenario: Original] Hint: only save the four variables in the data table. If you put a formula in any of these cells, allow scenario manager to change these values to constants. Use Goal Seek to find out how many passengers are necessary to breakeven. (Hint: you will need to set income to 0) Use scenario manager to save this breakeven information [name…
- Suppose an average of 240 trucks arrive each day, there are fourfour wellhead pumps, and each pump can serve an average of 3 trucks per hour. What is the probability that exactly 10trucks will arrive between 2:00 p.m. and 4:00 p.m. on any given day? How likely is it that once a truck is in position at a wellhead, the filling time will be less than 15 minutes? The probablity that 1010 trucks will arrive between 22:00 p.m. and 44:00 p.m. is .58%. The probability that the filling time for the truck being served will be less than 15 minutes is ___%what is the cost to ship 2200 lbs of goods from Houston to Denver using 2 day shipping?Assume Intervale Railway is considering hiring a reservations agency to handle passenger reservations. The agency would charge a flat fee of $13,000 per month, plus $3 per passenger reservation. What is the total reservation cost if 200,000 passengers take the trip next month? a. $613,000 b. $3.07 c. $600,000 d. $13,000
- Ten commuters must decide simultaneously in the morning to use route A or route B to go from home (same place for all) to work (ditto). If a of them use route A, each of them will travel for 10a + 40 minutes; if b of them uses route B, each of them will travel for 10b minutes. Everyone wishes to minimize his/her commuting time. Your tasks: Describe the pure Nash equilibrium (or Nash equilibria) of this ten-person game. Compute the corresponding profile of commuting times. Explicitly list all equilibrium conditions that are satisfied. What is the traffic pattern (strategies) minimizing the total travel time of all commuters (the sum of their travel times)? Describe the corresponding profile of commuting times (individual payoffs/cost). What does this mean about the Price of Anarchy of this game (assuming that the objective function is the total travel time)?Assume Intervale Railway is considering hiring a reservations agency to handle passenger reservations. The agency would charge a flat fee of $13,000 per month, plus $3 per passenger reservation. What is the total reservation cost if 200,000 passengers take the trip next month? $613,000 $3.07 $600,000 $13,000The Westminster Widget Company has an old machine that can produce 10 widgets in two hours. Now they have purchased a new machine that can produce 30 widgets in three hours. Working together, how long will it take the two machines to produce 75 widgets? 9(3)/(0) hours
- Suppose a theme park roller coaster has a train with six carriages. Each carriage takes eight customers, Trains arrive to the loading point one every 30 seconds. However, each hour, on the hour, the roller coaster is shut for 3 minutes for a systems' check. What is the capacity of the roller coaster?Telephone calls arrive at a global airline reservation office in Louisville according to Poisson distribution with a mean of 3.5 calls per minute what is the probability of receiving exactly 3 calls during a one minute intervalThe toll to a bridge costs $7. Commuters who use the bridge frequently have the option of purchasing a monthly discount pass for $30. With the discount pass, the toll is reduced to $4. For how many bridge crossings per month will the total monthly cost without the discount pass be the same as the total monthly cost with the discount pass?