. A new computer company is selling laptops and deluxe packages (2 desktops + 2 tablets + gaming system + speakers) through its online store. Let pi be the price of a laptop (in hundreds of dollars) and x be the number of laptops sold. Let på be the price of the deluxe package (in hundreds of dollars) and y be the number of deluxe packages sold. The joint dmeand equations are Pi = 60 – 4x + 2y Pd = 45 + 3x – 2y Laptops cost $400 to produce, the deluxe package costs $1300 to produce, and the weekly fixed costs are $15,000. If the company can produce 100 total combined laptops and deluxe packages each week, find the price of each item that would maximize the company's weekly profit.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. A new computer company is selling laptops and deluxe packages (2 desktops + 2 tablets + gaming system +
speakers) through its online store. Let pi be the price of a laptop (in hundreds of dollars) and x be the number
of laptops sold. Let pd be the price of the deluxe package (in hundreds of dollars) and y be the number of deluxe
packages sold. The joint dmeand equations are
||
ра — 45 + Зх — 2у
Laptops cost $400 to produce, the deluxe package costs $1300 to produce, and the weekly fixed costs are $15,000.
If the company can produce 100 total combined laptops and deluxe packages each week, find the price of each
item that would maximize the company's weekly profit.
Transcribed Image Text:1. A new computer company is selling laptops and deluxe packages (2 desktops + 2 tablets + gaming system + speakers) through its online store. Let pi be the price of a laptop (in hundreds of dollars) and x be the number of laptops sold. Let pd be the price of the deluxe package (in hundreds of dollars) and y be the number of deluxe packages sold. The joint dmeand equations are || ра — 45 + Зх — 2у Laptops cost $400 to produce, the deluxe package costs $1300 to produce, and the weekly fixed costs are $15,000. If the company can produce 100 total combined laptops and deluxe packages each week, find the price of each item that would maximize the company's weekly profit.
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