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 (a) Express the revenues from domestic and foreign markets as functions of x and y. Then show that the total revenue is given by R(x, y) 1200x + 2200y - 3x² - 2y² + xy. -

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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 a 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
(a) Express the revenues from domestic and foreign markets as functions
of x and y. Then show that the total revenue is given by
R(x, y) 1200x + 2200y - 3x² - 2y² + xy.
-
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 a 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 (a) Express the revenues from domestic and foreign markets as functions of x and y. Then show that the total revenue is given by R(x, y) 1200x + 2200y - 3x² - 2y² + xy. -
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