The owners of the appliance store want to spend up to $250,000 on buying new stock. They need to buy at least 100 of each appliance. The prices of buying appliances and the profits derived from selling them are shown in the following table, along with the floor area the devices require when stacked in the warehouse.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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trying to solve part 2

 

The owners of the appliance store want to spend up to $250,000 on buying new
stock. They need to buy at least 100 of each appliance. The prices of buying
appliances and the profits derived from selling them are shown in the following table,
along with the floor area the devices require when stacked in the warehouse.
Area (m?)
Аppliance
Clothes dryer
Coffee machine
Price
Profit
$200
$21
1.2
$300
$28
0.2
Refrigerator
Stereo
$600
$46
0.9
008$
$86
0.5
Washing machine
$300
$40
1.5
Appliance
Clothes dryer
Number
102
Coffee machine
100
Refrigerator
100
Stereo
137
Washing machine
100
Мaхimum profit
$25,324
Floor area (m?)
450.90
Transcribed Image Text:The owners of the appliance store want to spend up to $250,000 on buying new stock. They need to buy at least 100 of each appliance. The prices of buying appliances and the profits derived from selling them are shown in the following table, along with the floor area the devices require when stacked in the warehouse. Area (m?) Аppliance Clothes dryer Coffee machine Price Profit $200 $21 1.2 $300 $28 0.2 Refrigerator Stereo $600 $46 0.9 008$ $86 0.5 Washing machine $300 $40 1.5 Appliance Clothes dryer Number 102 Coffee machine 100 Refrigerator 100 Stereo 137 Washing machine 100 Мaхimum profit $25,324 Floor area (m?) 450.90
Now assume that the area of the warehouse in Q2 is limited to 450 m?. How many
of each appliance should they buy if they want to maximise profit and how much is
the store's profit reduced when they sell the goods?
Аppliance
Clothes dryer
Number
Coffee machine
Refrigerator
Stereo
Washing machine
Махimum profit
Profit reduction
You will notice that in this second case the solution no longer involved buying
integer numbers of appliances. Is there a way to instruct the solver to only choose
integers?
Transcribed Image Text:Now assume that the area of the warehouse in Q2 is limited to 450 m?. How many of each appliance should they buy if they want to maximise profit and how much is the store's profit reduced when they sell the goods? Аppliance Clothes dryer Number Coffee machine Refrigerator Stereo Washing machine Махimum profit Profit reduction You will notice that in this second case the solution no longer involved buying integer numbers of appliances. Is there a way to instruct the solver to only choose integers?
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