2. You have a factory that makes bikes and scooters. For bikes, you need 60 square feet of spaceper station to make bikes, it takes 20 minutes per bike to make one, and it costs you 80.26dollars per bike; for scooters, you need 45 square feet of space per station, it takes 36 minutesper scooter to make one, and it costs you 85.19 dollars per scooter. You have 9000 dollars totalto invest, 5000 square feet of floor space, and 50 hours in the week to make them.(a) What are the constraints of the linear inequality system as equations? Are there anyimplicit constraints?(b) Is this a maximization or minimization question? Why?.(c) If you make 130.50 dollars per bike and 102.50 dollars per scooter, how many of each shouldyou make? How much money would you make?(d) One of the scooter parts is now much more expensive, and it costs you 95.45 dollars nowto make one but you can only charge 107.99 dollars per scooter without losing too manysales. How many of each should you make now? How much money would you make?(e) All the constraints from the last problem are still true, but now there is a massive shortageof bikes due to a supply issue that doesn't affect you, and you can sell bikes now for 150.95dollars each. How many of each should you make, and how much money would you make?

Bike Scooter Availability Area 60 sq ft 45 sq ft 5000 sq ft Time 20 min 36 min 50 hr=3000 min…

Answered: 2. You have a factory that makes bikes…

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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ou 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 40 light fittings and 1,300 square feet of uninsulated exterior wall. You can spend no more than $1,400 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
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