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You are assigned the task of buying cabinets for a large storage room. The cabinets come in two styles, A and B. Here are the details: Cabinet A costs $100, takes up 6 m² of floor space and has a storage volume of 9 m³; Cabinet B costs $200, takes up 8 m² of floor space and has a storage volume of 16 m³. You have $3800 to spend and 216 m² of available floor space. How many units of each style should you buy in order to maximize the storage volume?

You are assigned the task of buying cabinets for a large storage room. The cabinets come in two styles, A and B. Here are the details: Cabinet A costs $100, takes up 6 m² of floor space and has a storage volume of 9 m³; Cabinet B costs $200, takes up 8 m² of floor space and has a storage volume of 16 m³. You have $3800 to spend and 216 m² of available floor space. How many units of each style should you buy in order to maximize the storage volume?

Advanced Engineering Mathematics
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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You are assigned the task of buying cabinets for a large storage room. The cabinets come in two styles, A and B. Here are the details: Cabinet A costs $100, takes up 6 m² of floor space and has a storage volume of 9 m³; Cabinet B costs $200, takes up 8 m² of floor space and has a storage volume of 16 m³. You have $3800 to spend and 216 m² of available floor space. How many units of each style should you buy in order to maximize the storage volume?
Transcribed Image Text:You are assigned the task of buying cabinets for a large storage room. The cabinets come in two styles, A and B. Here are the details: Cabinet A costs $100, takes up 6 m² of floor space and has a storage volume of 9 m³; Cabinet B costs $200, takes up 8 m² of floor space and has a storage volume of 16 m³. You have $3800 to spend and 216 m² of available floor space. How many units of each style should you buy in order to maximize the storage volume?
Expert Solution
Step 1: Linear Programming

Here we have to find number of units of each style to maximize the volume. 

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