. 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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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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