The State U doctoral program in business admits anaverage of 25 doctoral students each year. If a doctoralstudent spends an average of 4 years in residence at StateU, how many doctoral students would one expect to findthere?
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The State U doctoral program in business admits an
average of 25 doctoral students each year. If a doctoral
student spends an average of 4 years in residence at State
U, how many doctoral students would one expect to find
there?
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- Peter Bell of Bell Electronics maintains an extensive stock of computer components for the consumer market. He has hundreds of drawers/cabinets for the many small parts (motherboards, graphic cards, fans, etc.), and he wants to organize them so as to mjnimjze his travel and maximize his time a t the counter interacting with customers. a) Which item should be stored at the very front (closest to the counter)?b) Which item should be stored at the very back (furthest from the counter)?The ore of a gold mine in the Mountain Province contains, on the average, 2 gram of gold perton. One method of processing cost ₱1,800.00 per ton and recovers 90% of the gold, whileanother method cost only ₱1,400.00 per ton and recovers 85% of the gold. If the gold can besold at ₱8,000.00 per gram, which method is better and by how much?The small mail-order firm Sea’s Beginning has onephone line. An average of 60 people per hour call inorders, and it takes an average of one minute to handlea call. Time between calls and time to handle calls areexponentially distributed. If the phone line is busy, Sea’sBeginning can put up to c 2 1 people on hold. If c 2 1people are on hold, a caller gets a busy signal and calls acompetitor. Sea’s Beginning wants only 1% of all callersto get a busy signal. How many people should it be ableto put on hold, that is, what is the required value of c?
- The manager of a regional warehouse must decide on the number of loading docks to request fora new facility in order to minimize the sum of dock costs and driver-truck costs. The manager haslearned that each driver-truck combination represents a cost of $300 per day and that each dockplus loading crew represents a cost of $1,100 per day.a. How many docks should be requested if trucks arrive at the rate of three per day, each dockcan handle five trucks per day, and both rates are Poisson?Smith Inc. is a retail mail order firm that currently uses a centralized collection system that requires all checks to be sent to its flotation headquarters. An average of 6 days is required for mailed checks to be received, 3 days for Smith Inc. to process them, and 2 days for the checks to clear through its bank. A proposed lockbox system would decrease the mailing and processing time to 2 days and the check clearing time for 1 day. Smith Inc. has an average daily collection of P250,000. If Smith Inc. adopts this proposed lockbox system, its average cash balance will increase by. A. 1.2M B. 450k C. 750k D. 2MUnder ideal conditions, a service bay at a FastLube can serve 6 cars per hour. The effective capacity and efficiency of a Fast Lube service bay are known to be 5.5 and0.880, respectively. What is the minimum number of servicebays Fast Lube needs to achieve an anticipated servicing of200 cars per 8-hour day?
- A shipping company operates 10 container ships that can each carry 5000 containers oneach journey between ports. They want to be able to load and unload 20,000 containerseach week. Assume their ships always travel fully loaded. What is the longest averagetravel time between ports that allows them to meet their goal of 20,000 containers perweek?The Decision Sciences Department is tyring to determine whether to rent a slow or fast copier. The department believes that an employee's time is worth $15/hour. The slow copier rents for $4/hr, and it takes an employee an average of 10 minutes to complete copying. The fast copier rents for $15/hr, and it takes an employee an average of 6 minutes to complete copying. On average, four employees per hour need to use the copying machine. (Assume the copying times and interarrival times to the copying machine are exponentially distributed.) Which machine should the department rent to minimize expected total cost per hour? Please note this class revolves around Microsoft Excel so the answer I need needs to show the formulas in Excel, along with any corresponding graphs, etc. Thank you in advance!as the staff director of a new hospital, you are planning to hire cardiologists rehabilitation and infectious diseased specialists. according to recent data, each cardiology case averages $ 12,000 in revenue, each physical rehabilitation case $19,000, and each infectious diseased case, $14,000. you judge that each specialist you employed will expand the hospital caseload by about 10 patients per week. You already have 3 cardiologists and rehabilitation specialists bring in one government researched per year, while each infectious diseased specialist brings in three. Your board of directors would like your weekly revenue to be as large as possible. How many of each kind of specialist should you hire? a. State the LP in standard form, defining all variables? b. Solve the LP with the online solver and attach it. In a complete sentence, state your solution to the problem, How many of each kind of specialist should you hire? c. let's say you completely misjudged the number of patients each…
- The Decision Sciences Department is trying todetermine whether to rent a slow or a fast copier. Thedepartment believes that an employee’s time is worth $15per hour. The slow copier rents for $4 per hour and it takesan employee an average of 10 minutes to complete copying(exponentially distributed). The fast copier rents for $15 perhour and it takes an employee an average of 6 minutes tocomplete copying. An average of 4 employees per hour needto use the copying machine (interarrival times areexponential). Which machine should the department rent?This problem illustrates balking. The Oryo Cookie IceCream Shop in Dunkirk Square has three competitors. Sincepeople don’t like to wait in long lines for ice cream, thearrival rate to the Oryo Cookie Ice Cream Shop depends onthe number of people in the shop. More specifically, whilej 4 customers are present in the Oryo shop, customersarrive at a rate of (20 5j) customers per hour. If more than4 people are in the Oryo shop, the arrival rate is zero. Foreach customer, revenues less raw material costs are 50¢.Each server is paid $3 per hour. A server can serve anaverage of 10 customers per hour. To maximize expectedprofits (revenues less raw material and labor costs), howmany servers should Oryo hire? Assume that interarrivaland service times are exponential.Shipping Fruit. Wollmer Distribution Company collects fruit from several small farms in the region, consolidates its collections, and then ships the fruit to a regional wholesale fruit market by truck. Having made their collections, the company has in stock 57 tons of grapes, 62 tons of peaches, and 81 tons of bananas. Wollmer owns four trucks that can transport fruit to market. Each truck has its own capacity, and Wollmer has discovered that yield losses occur at different rates depending on which fruit is carried in which truck. The truck suspension system and the efficiency of the refrigeration system seem to account for most of the losses. The following table shows the loss as a percentage: Grapes Peaches Bananas Capacity Truck 1 12% 10% 4% 40 T Truck 2 12% 14% 5% 50 T Truck 3 16% 13% 6% 55 T Truck 4 18% 17% 8% 75 T The current market prices for the three fruits are as follows: Fruit Price / Ton Grapes $ 500 Peaches 1,000 Bananas 1,750 As a logical way of loading the trucks, a…