Number of guests jumping around on hot sidewalk outside

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As the summer heats up, everyone loves going to the California Dreamin' Water Park - primarily because of their most popular ride, a series of water slides called Grizzly Mountain. When the park opens each day at 10 a.m., guests enter the park and rush over to Grizzly Mountain at a constant rate of 10 per minute until 4 p.m. From 4 p.m. until the park closes at 10 p.m. guests arrive at Grizzly Mountain at a constant rate of 7 per minute. The line gets long quickly at Grizzly Mountain so the park built a canopy over the line area that accommodates up to 420 guests waiting in line. Once the line exceeds 420 people, the remaining guests are left to wait in the sun and jump around on the hot sidewalk. The ride operators at Grizzly Mountain send guests down the slides at a constant rate of 420 per hour. Grizzly Mountain begins each day with completely empty lines. What is the maximum number of guests jumping around on the hot sidewalk outside of the Grizzly Mountain canopy on any given day at California Dreamin' Water Park?

Reference no: EM132295501

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