Andalus Furniture Company has two manufacturing plants, one at Aynor and another at Spartanburg. The cost of producing Q₁ kitchen chairs at Aynor is 75Q₁ +5Q₁² + 100 and the cost of producing Q₂ kitchen chairs at Spartanburg is 25Q₂ +2.5Q22 + 140. Andalus needs to manufacture a total of 130 kitchen chairs to meet an order just received. How many chairs should be made at Aynor and how many should be made at Spartanburg production cost (in dollars)? Chairs at Aynor Chairs at Spartanburg Total Production cost Q₁ = Q₂ = C = $ order minimize total production cost? What is the total

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Andalus Furniture Company has two manufacturing plants, one at Aynor and another at Spartanburg. The cost of producing Q₁ kitchen chairs at Aynor is
2
75Q₁ +5Q₁² + 100
and the cost of producing Q₂ kitchen chairs at Spartanburg is
25Q₂ +2.5Q₂² + 140.
Andalus needs to manufacture a total of 130 kitchen chairs to meet an order just received. How many chairs should be made at Aynor and how many should be made at Spartanburg in order to minimize total production cost? What is the total
production cost (in dollars)?
Chairs at Aynor
Chairs at Spartanburg
Total Production cost
Q2
=
=
C = $
Transcribed Image Text:Andalus Furniture Company has two manufacturing plants, one at Aynor and another at Spartanburg. The cost of producing Q₁ kitchen chairs at Aynor is 2 75Q₁ +5Q₁² + 100 and the cost of producing Q₂ kitchen chairs at Spartanburg is 25Q₂ +2.5Q₂² + 140. Andalus needs to manufacture a total of 130 kitchen chairs to meet an order just received. How many chairs should be made at Aynor and how many should be made at Spartanburg in order to minimize total production cost? What is the total production cost (in dollars)? Chairs at Aynor Chairs at Spartanburg Total Production cost Q2 = = C = $
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