Concept explainers
Managing Traffic A highway engineer develops a formula to estimate the number of cars that can safely travel a particular highway at a given speed. She finds that the number N of cars that can pass a given point per minute is modeled by the function
Graph the function in the viewing rectangle [0, 100] by [0, 60]. If the number of cars that pass by the given point is greater than 40, at what range of speeds can the cars travel?
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Chapter 3 Solutions
Precalculus: Mathematics for Calculus (Standalone Book)
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- Sales A soft-drink vendor at a popular beach analyzes his sales records and find that if he sells x cans of soda pop in one day, his profit (in dollars) is given by P(x)=0.001x2+3x1800 What is his maximum profit per day, and how many cans must he sell for maximum profit?arrow_forwardAgriculture At a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season when about 700 vines are planted per acre. For each additional vine that is planted, the production of each vine decreases by about 1 percent. So, the number of pounds of grapes produced per acre is modeled by An=700+n10-0.01n where n is the number of additional vines planted. Find the number of vines that should be planted to maximize grape production.arrow_forwardMaximizing revenue A seller of contemporary disks finds that he can sell (820x) desks each month when the price is x dollars. What price will maximize revenue?arrow_forward
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