A manufacturer of wool roving has determined that the highest price per unit that can be charged to sell q ounces of wool roving is D(g) = p = 50 –- 0.25q It costs C(q) = 100 + 5g² to manufacture q ounces of wool roving. The manufacturer can produce between 0 and 4,000 ounces of roving. What is the profit function for this manufacturer? How many ounces of wool roving must be produced and sold to yield the maximum profit?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
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What is the profit function? Ounces of wool? How do you know it’s a Global maximum
„A manufacturer of wool roving has determined that the highest price per unit that can
be charged to sell q ounces of wool roving is
D(q) = p = 50 –- 0.25q
It costs
C(q) = 100 + 5g²
to manufacture q ounces of wool roving. The manufacturer can produce between 0 and 4,000 ounces
of roving.
What is the profit function for this manufacturer?
How many ounces of wool roving must be produced and sold to yield the maximum profit?
How do you know that this is a global maximum?
1
Transcribed Image Text:„A manufacturer of wool roving has determined that the highest price per unit that can be charged to sell q ounces of wool roving is D(q) = p = 50 –- 0.25q It costs C(q) = 100 + 5g² to manufacture q ounces of wool roving. The manufacturer can produce between 0 and 4,000 ounces of roving. What is the profit function for this manufacturer? How many ounces of wool roving must be produced and sold to yield the maximum profit? How do you know that this is a global maximum? 1
manufacturer of wool roving has determined that the highest p
be charged to sell q ounces of wool roving is
D(g) = p= 50 – 0.25q
It costs
C(q) = 100 + 5q?
to manufacture q ounces of wool roving. The manufacturer can produce betwee
of roving.
What is the profit function for this manufacturer?
How many ounces of wool roving must be produced and sold to yield the m.
How do you know that this is a global maximum?
Transcribed Image Text:manufacturer of wool roving has determined that the highest p be charged to sell q ounces of wool roving is D(g) = p= 50 – 0.25q It costs C(q) = 100 + 5q? to manufacture q ounces of wool roving. The manufacturer can produce betwee of roving. What is the profit function for this manufacturer? How many ounces of wool roving must be produced and sold to yield the m. How do you know that this is a global maximum?
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