A lawn and garden store creates three different potting mixes sold in 20-pound bags. Mix A contains 12 poundsof peat, 5 pounds of perlite, 3 pounds of organic material, and earns a profit of $2 per 20-pound bag. Mix Bcontains 10 pounds of peat, 6 pounds of perlite, 4 pounds of organic material, and earns a profit of $5 per bag. MixC contains 8 pounds of peat, 8 pounds of perlite, 4 pounds of organic material, and earns a profit of $6 per bag.There are 1,216 pounds of peat, 880 pounds of perlite, and 640 pounds of organic material available every weekto make these potting mixes. How many 20-pound bags of each mix should be made in order to maximizeweekly profit?| bags of mix A, □ bags of mix B and bags of mix C.

Let x , y and z be the number of 20-pound bags of Mix A , Mix B and Mix C to produce.the objective…

Answered: A lawn and garden store creates three…

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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a theatre has 800 seats, divided into orchestra, main and balcony. Orchestra seats sell for $40, main fo $30 and balcony for $2. If all the seats are sold revenue to the hteatre s $23,200. If all the main and balcony seats are sold but only half the orchestra seats are sold, the gross revenue os $20,000. How many are there of each kind of seat?
As part of a weight reduction program, a man designs a monthly exercise program consisting of bicycling, jogging, and swimming. He would like to exercise at most 36 hours, devote at most 4 hours to swimming, and jog for no more than the total number of hours bicycling and swimming. The calories burned by this person per hour by bicycling, jogging, and swimming are 200, 694, and 256, respectively. How many hours should be allotted to each activity to maximize the number of calories burned? What is the maximum number of calories he will burn? (Hint: Write the constraint involving jogging in the form ≤0.) Let x, be the number of hours spent bicycling, let x₂ be the number of hours spent jogging, and let x3 be the number of hours spent swimming. What is the objective function? z = x₁ + x₂ + x3 22/11
Suppose Meredith, Kelsey and Nina go to a donut shop. Meredith buys 3 apple crumb, 8 Boston creme and 2 cookies & cream donuts and ends up spending $29.82. Kelsey gets 3 of the apple crumb, 5 Boston creme and 7 cookies & cream donuts for a total cost of $35.95. Lastly, Nina spends $34.94 on 7 apple crunb, 3 Boston creme, and 6 cookies & cream donuts. How much does each type of donut cost? Each apple crumb donut costs $ Each Boston creme donut costs $ Each cookies & cream donut costs $
A graphic designer can design a magazine cover or a logo. Her company makes a profit of $800 for each magazine cover and $500 for each logo. She estimates that it takes her 4 hours of brainstorming for a magazine cover and 2 hours of brainstorming for a logo. She'd like to keep the total brainstorming time under 24 hours a week. Further, she estimates that it takes her 2 hours to lay out a magazine cover and 0.5 hours to sketch up a logo, and she must fit this into 10 hours a week. Her boss requires her to design no more than 4 logos for each magazine cover she designs. How many of each should she design in order to maximize the company's profits? magazine covers logos What is the maximum profit? $
.
Lamar works as a car audio technician. Last week a total of 27 cars came into his shop and he made a total of $3,049.73. If Lamar normally charges $99.99 for installation of a stereo and $149.99 for the installation of a speaker system, how many of each component did he install last week?
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
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?

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