Explanation Given information: A manufacturing process with a $12 million budget uses x kilograms of one raw material and y kilograms of second raw material to make Q = 3 ln ( x + 1 ) + 2 ln ( y + 1 ) units of products. The first raw material costs $6million per kilogram and the second costs $3 million per kilogram. Calculation: The first raw material costs $6million per kilogram. ⇒ The amount spent to buy first raw material is 6x million dollars. The second costs $3 million per kilogram. ⇒ The amount spent to buy second raw material is 3y million dollars. The budget spent = 6 x + 3 y The total budget is $12 million. If the budget is fully spent, then 12 = 6 x + 3 y To determine (b) To find: The maximum number of units that can be produced under this budget.

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Question

Chapter 4.4, Problem 18P

To determine

(a)

To find:

An expression for y in terms of x if the budget is fully spent and the values of x which makes sense.

To determine

(b)

To find:

The maximum number of units that can be produced under this budget.

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Chapter 4.4, Problem 17P

Chapter 4.4, Problem 19P

Chapter 4 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

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(a) To find: An expression for y in terms of x if the budget is fully spent and the values of x which makes sense.

Solution Summary: The author explains the expression for y in terms of x if the budget is fully spent and the values which make sense.