A theater is presenting a program on drinking and driving for students and their parents or other responsible adults. The proceeds will be donated to a local alcohol information center. Admission is $6.00 for adults and $3.00 for students. However, this situation has two constraints: The theater can hold no more than 180 people and for every two adults, there must be at least one student. How many adults and students should attend to raise the maximum amount of money?To raise the maximum amount of money, [ ] adults and [ ] students should attend.

A theater is presenting a program on drinking and driving for students and their parents or other…

Answered: A theater is presenting a program on…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The County Theater is an independent entertainment theater that is in the middle of a new renovation to expand their current layout of two screens. With their current renovation plan, they hope to increase their screens to three. As of now, they are still in need of $14,000 to finish the construction project. Through market research completed on their members as well as the greater community, they estimated that each donator would give around $50. As the donations have been coming in over the course of the last 18 months, they believe that the research estimate may have been too high. They created a sample of members consisting of 40 individuals. On average, they are willing to give $40 and the standard deviation for the sample is $1.35. With an alpha of .05, construct an appropriate hypothesis test. If you find that the null hypothesis is not true, what real world circumstance may have affected the research estimate?
You are thinking of making your home more energy efficient by replacing some of the light bulbs with compact fluorescent bulbs and insulating part or all of your exterior walls. Each compact fluorescent light bulb costs $4 and saves you an average of $2 per year in energy costs, and each square foot of wall insulation costs $1 and saves you an average of $0.20 per year in energy costs.† Your home has 60 light fittings and 1,200 square feet of uninsulated exterior wall. You can spend no more than $1,300 and would like to save as much per year in energy costs as possible. How many compact fluorescent light bulbs and how many square feet of insulation should you purchase? Please don't give handwritten answer..thanku
Your school's basketball team is organizing a bus trip to a Toronto Raptors game at the Air Canada Centre. The cost to rent the bus, which can carry up to 52 people, is $380 and the cost of tickets for a group of 20 or more is $29.50 per person. In addition, the team wants to make a $250 profit from this event to help defray the costs of a future tournament. However, the school administration requires that the cost of the trip per person not exceed $45. Is this possible? If so, what is the minimum number of people that must participate in the activity?
You are thinking of making your home more energy efficient by replacing some of the light bulbs with compact fluorescent bulbs and insulating part or all of your exterior walls. Each compact fluorescent light bulb costs $4 and saves you an average of $2 per year in energy costs, and each square foot of wall insulation costs $1 and saves you an average of $0.20 per year in energy costs.† Your home has 50 light fittings and 1,200 square feet of uninsulated exterior wall. You can spend no more than $1,300 and would like to save as much per year in energy costs as possible. How many compact fluorescent light bulbs and how many square feet of insulation should you purchase? (If an answer does not exist, enter DNE.) compact fluorescent light bulbs bulbs insulation sq ft How much will you save in energy costs per year?
The following are recipes for pancakes and waffles. A batch of pancakes require 3 cups of flour, 1 cup of milk, and 2 eggs and feeds 6 people. A batch of waffles requires 2 cups of flour, 2 cups of milk, and 2 eggs and feeds 5 people. Suppose you have available 24 cups of flour, 18 cups of milk, and 20 eggs. How many batches of pancakes and waffles should you make to feed the maximum number of people? a) State what you assign to x and y. Write the objective function. [2] b) Write the three constraint inequalities. [3] c) Find the axes intercepts of each of the above inequalities. [3] d) Plot the inequalities. Label the solution set. [3] e) How many batches of pancakes and waffles should you make to feed the maximum number of people
A school district is buying new furniture for some classrooms. Each classroom must have 28 desks. The furniture company gives a special discount every 50 desks purchased. If the district wants to furnish complete classrooms with having to store any desks, and take full advantage of the discount what is the smallest number of desks it should purchase? How many rooms can be furnished with new desks?

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