2) A company produces and sells smartphones. The revenue for one smartphone is $900. The cost to produce x smartphones is given by C (x) = 0.001x³ -0.003x² +0.015x + 90000 dollars. a) How many smartphones must be produced and sold to maximize the profit? Round the answer to the nearest whole number. smartphones b) Using this number of smartphones, what is the maximum profit? Round your answer to the nearest dollar. dollars

If xis large, which function grows faster, f(x)=2x or g(x)=x2?

In these problem you are asked to find a function that models a real-life situation and then use the model to answer questions about the situation. Use the guidelines on page 273 to help you. Minimizing a Sum Find two possible numbers whose sum is 100 and the sum or whose squares is a minimum.

What is the difference between the input and the output of a function?

Why does the vertical line test tell as whether the graph of a relation represents a function?

Explain how to interpret the initial value in a word problem that uses a linear function.

You plan to make a box with a square base and lid, with the largest possible volume, and with surface area 140in^2 a) If the square base of the box is x inches wide, determine a formula for the function V (x) representing the volume of the box (in cubic inches). Your function should contain the variable x and cannot contain any other variables. b) Determine a domain for V(x) which makes sense in the context of the scenario. Briefly explain why you chose the domain you provided c) Determine the largest possible volume of such a box. You must use calculus to verify that the volume you find is the largest possible volume.

House price y is estimated as a function of the square footage of a house x and a dummy variable d that equals 1 if the house has ocean views. The estimated house price, measured in $1,000s, is given by yˆy^ = 119.60 + 0.14x + 54.80d.   a-1. Compute the predicted price (in $1,000s) of a house with ocean views and square footage of 1,600. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) predicted price=    a-2. Compute the predicted price (in $1,000s) of a house with ocean views and square footage of 3,200. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) predicted price=

The daily cost of producing x high performance wheels for racing is given by the following function, where no more than 100 wheels can be produced each day. What production level will give the lowest average cost per wheel? What is the minimum average cost? C(x)=0.04x³-4.0x² +170x; (0,100] What production level will give the lowest average cost per wheel? =(Type an integer or a decimal.) X=

(6) The demand function for a tablet is given by the model p = 200 - 16x where p is measured in dollars per tablet and x is measured in millions of tablets. Ifit costs $50 to produce each tablet and a profit ofS125 million was derive when 2,5 million tablets were produced. Derive the number of tablets that the company could sell to make the same amount of profit?