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A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The price the manufacturer can expect to receive for the machines will depend on the number of machines made available. It is estimated that if the manufacturer supplies x machines to the domestic market and y machines to the foreign market, the machines will 5y sell for 1200 - 3x + pesos per unit domestically, and 7 2200 - 2y + pesos per unit abroad. 2x 7 (c) Using Lagrange multipliers to maximize revenue, how many of the 500 machines should be sold domestically, and how many should be sold abroad? What is the maximum revenue?

A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The price the manufacturer can expect to receive for the machines will depend on the number of machines made available. It is estimated that if the manufacturer supplies x machines to the domestic market and y machines to the foreign market, the machines will 5y sell for 1200 - 3x + pesos per unit domestically, and 7 2200 - 2y + pesos per unit abroad. 2x 7 (c) Using Lagrange multipliers to maximize revenue, how many of the 500 machines should be sold domestically, and how many should be sold abroad? What is the maximum revenue?

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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A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The price the manufacturer can expect to receive for the machines will depend on the number of machines made available. It is estimated that if the manufacturer supplies x machines to the domestic market and y machines to the foreign market, the machines will 5y pesos per unit domestically, and sell for 1200 3x + 2x 2200 - 2y + pesos per unit abroad. (c) Using Lagrange multipliers to maximize revenue, how many of the 500 machines should be sold domestically, and how many should be sold abroad? What is the maximum revenue?
Transcribed Image Text:A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The price the manufacturer can expect to receive for the machines will depend on the number of machines made available. It is estimated that if the manufacturer supplies x machines to the domestic market and y machines to the foreign market, the machines will 5y pesos per unit domestically, and sell for 1200 3x + 2x 2200 - 2y + pesos per unit abroad. (c) Using Lagrange multipliers to maximize revenue, how many of the 500 machines should be sold domestically, and how many should be sold abroad? What is the maximum revenue?
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