Knoebels Amusement Park in Elysburg, Pennsylvania, charges a lump-sum fee, L, to enter its Crystal Pool. It also charges p per trip down a slide on the pool's water slides. Suppose that 400 teenagers visit the park, each of whom has a demand function of q₁ =6-p, and that 400 seniors also vist, each of whom has a demand function of q₂-5-p. Knoebels's objective is to set L and p so as to maximize its profit given that it has no (non-sunk) cost and must charge both groups the same prices. What are the optimal L and p? The optimal L and p are L=$ and p=$ (Enter numeric responses using real numbers rounded to three decimal places.)

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Knoebels Amusement Park in Elysburg, Pennsylvania, charges a lump-sum fee, L, to enter its Crystal Pool. It also charges p per trip down a
slide on the pool's water slides. Suppose that 400 teenagers visit the park, each of whom has a demand function of q₁ =6-p, and that 400
seniors also vist, each of whom has a demand function of q₂-5-p. Knoebels's objective is to set L and p so as to maximize its profit given
that it has no (non-sunk) cost and must charge both groups the same prices. What are the optimal L and p?
The optimal L and p are
L=$ and p=$
(Enter numeric responses using real numbers rounded to three decimal places.)
Transcribed Image Text:Knoebels Amusement Park in Elysburg, Pennsylvania, charges a lump-sum fee, L, to enter its Crystal Pool. It also charges p per trip down a slide on the pool's water slides. Suppose that 400 teenagers visit the park, each of whom has a demand function of q₁ =6-p, and that 400 seniors also vist, each of whom has a demand function of q₂-5-p. Knoebels's objective is to set L and p so as to maximize its profit given that it has no (non-sunk) cost and must charge both groups the same prices. What are the optimal L and p? The optimal L and p are L=$ and p=$ (Enter numeric responses using real numbers rounded to three decimal places.)
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