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12) The owner of a video store has determined that the profits P of the store are approximately given by P(x) = -x2 + 120x + 67, where x is the number of videos rented daily. Find the maximum profit to the nearest dollar. A) $3,600 D) $7,267 B) $7,200 C) $3,667 12)

12) The owner of a video store has determined that the profits P of the store are approximately given by P(x) = -x2 + 120x + 67, where x is the number of videos rented daily. Find the maximum profit to the nearest dollar. A) $3,600 D) $7,267 B) $7,200 C) $3,667 12)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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12) The owner of a video store has determined that the profits P of the store are approximately given 12) by P(x) = -x² + 120x+67, where x is the number of videos rented daily. Find the maximum profit to the nearest dollar. A) $3,600 B) $7,200 D) $7,267 13) A projectile is fired from a cliff 300 feet above the water at an inclination of 45° to the horizontal, 13) with a muzzle velocity of 320 feet per second. The height h of the projectile above the water is -32x² + x + 300, where x is the horizontal distance of the projectile from the base (320)² given by h(x) = C) $3,667 of the cliff. Find the maximum height of the projectile. A) 2700 ft B) 800 ft C) 1600 ft D) 1100 ft 14) A projectile is fired from a cliff 400 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 320 feet per second. The height h of the projectile above the water is -32x2 given by h(x)= + x + 400, where x is the horizontal distance of the projectile from the base (320)² of the cliff. How far from the base of the cliff is the height of the projectile a maximum? A) 2800 ft B) 1200 ft C) 1600 D) 800 ft 14)
Transcribed Image Text:12) The owner of a video store has determined that the profits P of the store are approximately given 12) by P(x) = -x² + 120x+67, where x is the number of videos rented daily. Find the maximum profit to the nearest dollar. A) $3,600 B) $7,200 D) $7,267 13) A projectile is fired from a cliff 300 feet above the water at an inclination of 45° to the horizontal, 13) with a muzzle velocity of 320 feet per second. The height h of the projectile above the water is -32x² + x + 300, where x is the horizontal distance of the projectile from the base (320)² given by h(x) = C) $3,667 of the cliff. Find the maximum height of the projectile. A) 2700 ft B) 800 ft C) 1600 ft D) 1100 ft 14) A projectile is fired from a cliff 400 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 320 feet per second. The height h of the projectile above the water is -32x2 given by h(x)= + x + 400, where x is the horizontal distance of the projectile from the base (320)² of the cliff. How far from the base of the cliff is the height of the projectile a maximum? A) 2800 ft B) 1200 ft C) 1600 D) 800 ft 14)
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