6. The revenue function (in dollars) for a business is R(x)=-4x² +80x, and the cost function (in dollars) is C(x)=16x+26. Find the profit function, and then find the maximum profit. 7. The cost and revenue functions for a business are given below. In each function, x is measured in ten-thousand units, and the function value is in millions of dollars. C(x)=x²+2x²-5x+72 R(x)=x²-x²+25x a) Find the maximum profit, and the number of items produced and sold to generate that profit. Max profit is $ Max profit: and occurs when b) Find the number of units at which the business will break even. Max profit is $ items are produced and sold. or 8. A business' profit function is given by P(x)=-4x² +104x-640, where x is measured in hundreds of items, and the profit is in thousands of dollars. a) Find the maximum profit, and the number of items produced and sold to generate that profit. and occurs when b) Find the number of units at which the business will break even. items items are produced and sold. or__items
6. The revenue function (in dollars) for a business is R(x)=-4x² +80x, and the cost function (in dollars) is C(x)=16x+26. Find the profit function, and then find the maximum profit. 7. The cost and revenue functions for a business are given below. In each function, x is measured in ten-thousand units, and the function value is in millions of dollars. C(x)=x²+2x²-5x+72 R(x)=x²-x²+25x a) Find the maximum profit, and the number of items produced and sold to generate that profit. Max profit is $ Max profit: and occurs when b) Find the number of units at which the business will break even. Max profit is $ items are produced and sold. or 8. A business' profit function is given by P(x)=-4x² +104x-640, where x is measured in hundreds of items, and the profit is in thousands of dollars. a) Find the maximum profit, and the number of items produced and sold to generate that profit. and occurs when b) Find the number of units at which the business will break even. items items are produced and sold. or__items
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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Transcribed Image Text:6. The revenue function (in dollars) for a business is R(x)=-4x² +80x, and the cost function (in
dollars) is C(x)=16x+26. Find the profit function, and then find the maximum profit.
Max profit is $
9866
2(-1)
Max profit:
7. The cost and revenue functions for a business are given below. In each function,
x is measured in ten-thousand units, and the function value is in millions of dollars.
C(x)=x' + 2x² -5x+72
R(x)=x²-x²+25x
a) Find the maximum profit, and the number of items produced and sold to generate that profit.
and occurs when
b) Find the number of units at which the business will break even.
Max profit is $
250
items are produced and sold.
8. A business' profit function is given by P(x)=-4x² +104x-640, where
x is measured in hundreds of items, and the profit is in thousands of dollars.
or
and occurs when
b) Find the number of units at which the business will break even.
a) Find the maximum profit, and the number of items produced and sold to generate that profit.
25300
items
items are produced and sold.
items
of x hundred
fit?
000
add to Z
30
laysets is
p(x)=-2
at
40 Pl.
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