Each month a store owner can spend at most $100,000 on PC's and laptops. A PC costs the store owner $1000 and a laptop costs him $1500. Each PC is sold for a profit of $400 while laptop is sold for a profit of $700. The sore owner estimates that at least 15 PC's but no more than 80 are sold each month. He also estimates that the number of laptops sold is at most half the PC's. How many PC's and how many laptops should be sold in order to maximize the profit?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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Each month a store owner can spend at most $100,000 on PC's and laptops. A PC costs the
store owner $1000 and a laptop costs him $1500. Each PC is sold for a profit of $400 while
laptop is sold for a profit of $700. The sore owner estimates that at least 15 PC's but no more
than 80 are sold each month. He also estimates that the number of laptops sold is at most half
the PC's. How many PC's and how many laptops should be sold in order to maximize the
profit?
Transcribed Image Text:00 Each month a store owner can spend at most $100,000 on PC's and laptops. A PC costs the store owner $1000 and a laptop costs him $1500. Each PC is sold for a profit of $400 while laptop is sold for a profit of $700. The sore owner estimates that at least 15 PC's but no more than 80 are sold each month. He also estimates that the number of laptops sold is at most half the PC's. How many PC's and how many laptops should be sold in order to maximize the profit?
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