Problem 1 Suppose Prof.are asked to optimize his trip. He has decided to spare 2 hours from his busy schedule to do somefun stuff. He has 5 activities to choose from: playing tennis, reading optimization books, watchingfootball games, jogging on the street, and playing music. The table below lists the "utility" hereceives for each activity (suppose each activity takes 1 hour), and the amount of energy consumedper hour by each activity.is planning for a beach trip for summer vacation. Now youActivity1. tennis2. reading 3. watching football4. jogging 5. musicUtility (Units)2216202518Energy (kCal)35202040He does not want to get too tired from his trip, so he wishes to use at most 60 kCal of energy. Tolimit the time using his eyes, Prof. Song decided that if he chose reading, then he could not gowatching football games.1. Formulate an integer program to help Prof. Song determine how to maximize his utility duringhis fantasy trip.2. Solve this integer program in Excel or Python.

Let x=hour spend in playing tennis y=hour spend in reading z=hour spend in watching football…

Answered: Problem 1 Suppose Prof. are asked to…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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need comprehensive and correct answers.This question is about optimization.
Example 3: Alexis has a lengthy commute to work each day. There are two main routes that she takes on her way to work and they both average 40 minutes. Alexis likes to be able to predict how long before work she needs to leave in order to make it on time, and since both routes take the same average amount of time, she was interested in determining whether or not one route was more consistent with its timing. So she recorded how long it took her to drive to work 20 times total (Data shown below). Carry out an appropriate hypothesis test at the a = to determine if one route yields more consistent times than the other. 0.05 level %3D Route 1 41 42 41.5 40.5 41 40.5 40 39 40 42 Route 2 37 36 39 38 37 40 44 41 43 38 Standard Deviation Sample Size Route 1 0.950 10 Route 2 2.669 10
Example 3. Food I contains 10 units of vitamin A and 12 unit of vitamin R gram and cost 20 paise per gram. Food II contains 7 unit of vitamin A and 15 unis of vitamin B and costs 18 paise per gram. The daily requirement of vitamin A and R are atleast 80 units and 90 units respectively. Formulate the above as an LPP to per minimise the cost. CS Scanned with CamScanner
Zordon is a new competitor in the production of power rangers, and has to train its employees in theprocess of making power morphers. To increase the speed of learning, Zordon will give a bonus to theemployee with the lowest cumulative average time per unit after eight units are completed. Jason took 50hours to complete the first unit, and is subject to an 80% learning curve. Rocky took 60 hours to completethe first unit, and is subject to a 70% learning curve. Tommy took 40 hours to complete the first unit, andis subject to a 90% learning curve. Andross took 55 hours to complete the first unit, and is subject to a75% learning curve. Which employee will receive the bonus?
Homework #8 Having the ability to monitor a process is critical in maintaining quality but also managing staff morale and/or fatigue. Please use the information below to answer the questions. Warehouse 36 produces birdhouses for Company X. Due to an illness that swept through the factory, Warehouse 36 is behind in production. In order to "catch up" to their predicted quota, the supervisor plans to work 12 hour shifts for 21 days. Over the course of the three-week period, production was steady and then began to decrease resulting in not meeting the goal of 340 units per day. Based on the information provided below, when did production begin to fall? At what point could a day off have prevented a production decrease? How do you know? Provide a visual display of data that shows the average, upper/lower class limits and daily production. (Hint - statistical process control) How could you have adjusted the schedule to reach the desired result? Days Production 1 2 3 4 5 LN34567 99 6 345 7…
For his classes, Professor Wright gives three types of quizzes, objective, recall, and recall-plus. To keep his students on their toes, he has decided to give at least 20 quizzes next quarter. The three types, objective, recall, and recall-plus quizzes, require the students to spend, respectively, 10 minutes, 30 minutes, and 60 minutes for preparation, and Professor Wright would like them to spend at least 12 hours(720 minutes) preparing for these quizzes above and beyond the normal study time. An average score on an objective quiz is 5, on a recall type 6, and on a recall-plus 7, and Dr. Wright would like the students to score at least 130 points on all quizzes. It takes the professor one minute to grade an objective quiz, 2 minutes to grade a recall type quiz, and 3 minutes to grade a recall-plus quiz. How many of each type should he give in order to minimize his grading time?
A certain magical substance that is used to make solid magical spheres costs $500 per cubic foot. The power of a magical sphere depends on its surface area, and a magical sphere can be sold for $50per square foot of surface area. If you are manufacturing such a sphere, what size should you make them to maximize your profit per sphere?
I've been stuck on this problem, can somebody explain how to solve it?

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