company manufactures two products, A and 3, in 2 factories, I and II. It has been determined that the company will realize a profit of 75 dollars on each unit of product A and a profit of 70 dollars on each unit of product B. To manufacture a unit of product A requires 7 minutes in factory I and 8 minutes in factory II. To manufacture a unit of product B requires 9 minutes in factory I and 5 minutes in factory II. There are 675 minutes of machine time available in factory I and 560 minutes of machine time available in factory II per day. How many units of each product should be produced per day to maximize the company's profit? units per day of product A, and units per day of product B. The maximal achievable profit is dollars per day.

company manufactures two products, A and 3, in 2 factories, I and II. It has been determined that the company will realize a profit of 75 dollars on each unit of product A and a profit of 70 dollars on each unit of product B. To manufacture a unit of product A requires 7 minutes in factory I and 8 minutes in factory II. To manufacture a unit of product B requires 9 minutes in factory I and 5 minutes in factory II. There are 675 minutes of machine time available in factory I and 560 minutes of machine time available in factory II per day. How many units of each product should be produced per day to maximize the company's profit? units per day of product A, and units per day of product B. The maximal achievable profit is dollars per day.

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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Question

A company manufactures two products, A and 3, in 2 factories, I and II.
It has been determined that the company will realize a profit of 75 dollars on each unit of product A and a profit of
70 dollars on each unit of product B.
To manufacture a unit of product A requires 7 minutes in factory I and 8 minutes in factory II. To manufacture a unit
of product B requires 9 minutes in factory I and 5 minutes in factory II.
There are 675 minutes of machine time available in factory I and 560 minutes of machine time available in factory II
per day.
How many units of each product should be produced per day to maximize the company's profit?
units per day of product A, and
units per day of product B.
The maximal achievable profit is
dollars per day.
Now assume that, due to changing market conditions, the company can now realize a profit of 116 dollars on each
unit of product A, whereas the profit on product B remains the same as before.
How many units of each product should now be produced per day to maximize the company's profit?
units per day of product A, and
units per day of product B.
The maximal achievable profit is now
dollars per day.

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