A college student works in both the school cafeteria andlibrary. She works no more than 12 hours per week at thecafeteria, and no more than 16 hours per week at thelibrary. She must work at least 20 hours each week. Writea system of inequalities that describes all the givenconditions.Write a system of inequalities letting x= number of hoursworked at the cafeteria per week and y = number of hoursworked at the library per week.x+yz x≤ ys

To write: The system of inequalities that describe all the given condition. Given: The number of…

Answered: A college student works in both the…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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A car weighing 4000 lb and equipped with a 235 HP engine is travelling along a 4% grade, assume standard conditions and the following vehicle specific parameters: rolling coefficient = 0.012, drag coefficient = 0.46, and frontal area = 22 ft^2. What is the maximum speed the vehicle is capable of on the grade?
A Company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used 4 workers, who produced an average of 87 carts per hour. Workers receive $13 per hour, and machine coast was $32 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $18 per hour while output increased by four carts per hour. a) Compute the multifactor productivity (MFP) (labor plus equipment) under the Prior to buying the new equipment. The MFP (carts/$) = .6949 (round to 4 decimal places). b) Compute the % growth in productivity between the Prior to and after buying the new equipment. The growth in productivity = 25.55 % (round to 2 decimal places)
1. Give an example each for the following: * an odd function * an even function
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!
of the applicants are denied on this basis? 5. a. What is the probability that a normal variable exceeds two-sigma limits? (That is, what is the probability of observing a value of the random variable larger than µ + 20 or less than µ – 20?)
Suppose you sample one value from a uniform distribution with a = 0 and b=20. a. What is the probability that the value will be between 12 and 172 b. What is the probability that the value will be between 4 and 72 c. What is the mean? d. What is the standard deviation? a. The probability that the value will be between 12 and 17 is (Type an integer or a decimal)
Suppose the waiting time at a certain checkout counter is bi-modal. With probability 0.85, the waiting time follows an exponential distribution with a mean waiting time of four minutes. With probability 0.15, the waiting time equals 20 minutes. a) Compute the mean and median waiting time at the checkout counter. b) Compute the variance of the waiting time at the checkout counter. c) Compute the probability that an individual customer waits longer than 5 minutes at the checkout counter.
A manager is simulating the number of times a machine operator stops a machine to make adjustments. After careful study the manager found that the number of stops ranged from one to five per cycle and that each number of stops was equally likely. Using the random numbers 0.17 and 0.47 (in that order), determine how many stops for adjustments each of the next two cycles will have. The first cycle will have stops and the second cycle will have stops.
Suppose that you have two four-sided dice that are each equally weighted (i.e. equal chance of any of the four sides landing face up). One of them has values [12.5968, 2, -2 and -12.5968] , the other [12.5968, 4, -2 and -12.5968] Which of them has a σ of 9 using the probability model approach. a) [12.5968, 2, -2 and -12.5968] B) [12.5968, 4, -2 and -12.5968]
The focal length of a plane mirror is: a) Infinite b) Zero c) Equal to its radius of curvature d) Half of its radius of curvature.
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A bank is trying to determine which of two machinesshould be rented to process checks. Machine 1 rents for$10,000 per year and processes 1,000 checks per hour.Machine 2 rents for $15,000 per year and processes 1,600checks per hour. Assume that the machines work 8 hours aday, 5 days a week, 50 weeks a year. The bank must processan average of 800 checks per hour, and the average checkprocessed is for $100. Assume an annual interest rate of20%. Then determine the cost to the bank (in lost interest)for each hour that a check spends waiting for and undergoingprocessing. Assuming that interarrival times and servicetimes are exponential, which machine should the bank rent?

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