The yield in bushels from a grove of orange trees is given by Y = x(1200 - x), where x is the number of orange trees per acre. How many trees will maximize the yield? trees

Q: According to one model of bird flight, the power consumed by a pigeon flying at velocity v (in…

A: The power consumed by a pigeon at velocity (v) is given as,

Q: The path of a diver is modeled by rx) %= 승x2 + 24x+ 11 where f(x) is the height (in feet) and x is…

A: We, know at maximum or minimum of a function f(x), the first derivative, f'(x)=0. At maximum,…

Q: Find the point of diminishing returns for the revenue function where x is the amount spent on…

A:

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

A:

Q: A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which…

A: Given, a parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Let the…

Q: The supply equation for the BWS Bluetooth wireless loudspeaker is p = 0.025x + 90 where x is the…

A: Given that the supply equation for the BWS Bluetooth wireless loudspeaker is p=0.025x+90. Find the…

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

A:

Q: Find the length y=(x+2)^3/2 for x in the range 0≤x≤2.

A:

Q: A case of vintage wine appreciates in value each year, but there is also an annual storage charge.…

A: Answer

Q: Help The number of mosquitoes in a lake area after an insecticide spraying decreases at a rate of…

A: Given,

Q: Q2:- Find the maximum value of the function f(x,y) 49-x-y? on the line x+ 3y = 10. %3D

A:

Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 where x…

A:

Q: Y = 0.75X + 0.0042X2 – 0.000023X3 At what level of X, the output will be maximum?

A:

Q: A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x…

A:

Q: The cost function for the manufacture of portable MP3 players is given by: C(x) = 25,000 + 20x +…

A: Given cost function is C(x) = 25,000 + 20x + 0.001x2  So the average cost function is…

Q: A manufacturer of lighting fixtures has daily production costs of C= 800 - 50x + 0.25x?, where C is…

A:

Q: At what interval is y= 2x3-3x2- 36x + 14 increasing? Decreasing?

A: Question is solved.

Q: An accessories company finds that the cost and revenue, in dollars, of producing x belts is given by…

A: NOTE: Refresh your page if you can't see any equations. . the revenue and cost functions are

Q: Find number of units X that produces a maximum revenue R. R=99x^2 - 0.06x^3

A:

Q: What values of a and b maximize the value of ! (7x-x) dx? a

A:

Q: A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which…

A:

Q: the y intercept of a function f(x) is (0,b). What is the y-intercept of f(x) +k ?

A: Given that the y intercept of a function f(x) is (0,b).f(x)+k means k units higher than f(x). So the…

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

A: Compare the given cost function with the general quadratic function as follows.

Q: A manufacturer produces microwaves. He estimates that by selling them for x dollars each he will be…

A: To determine the price will yield a maximum revenue.

Q: The height in feet of the curved arch support for a bridge can be modeled by f(x) = -0.0009x + 1.24x…

A: In this question we have to find if we are safe to jump while doing bungee.

Q: The marginal cost of producing x tablet computer is c'(x)=140-0.04x+0.00002x^2. What is the cost of…

A: We have given The marginal cost: c'(x) = 140-0.04x+0.00002x^2.

Q: A shop sells pies for $5 each. The daily cost function has the form C(x)=x+10+0.01x2, where x is the…

A: Revenue function, R(x) = price x Quantity = 5x Cost function, C(x) = x + 10 + 0.01x2 Profit function…

Q: Graph the function ƒ(x) = 8 + 2x - x2 anddetermine the values of a and b that maximize the value of…

A: Consider the function  ƒx=8+2x−x2

Q: The price per barrel of crude oil in the period 1980-2013, in constant 2014 dollars, can be…

A: To find P'(t) and P'(28).

Q: A minute ad during a campaign in 1973 cost​ $200,000. The price tag for a​ 30-second ad slot during…

A: We are given that the cost of 30-second slot of advertising for a campaign can be modeled by…

Q: F(x)= -x^2-4x+2 -Find x-intercepts(x,y) (smaller x value)?

A: Question is solved.

Q: Find the interval where the graph of y = x3 + 2x2 − 4 is decreasing and concave up.

A:

Q: A parking lot charges $2 per hour for the first 4 hours, them $3 per hour after that. Which…

A: Suppose that the total number of hours is x then given that parking lot charges $2 per hour for the…

Q: Find a formula for the linear function with slope −3 and x-intercept 2.

A: Refer to the question.For the linear function with slope −3 and x-intercept 2, use the slope…

Q: Given the profit function P(x)= 500x - x^2/ 100, where x is the number of units sold. Find the x to…

A:

Q: A bottle manufacturer has determined that the cost (C) in dollars of producing xr bottles is C =…

A:

Q: Find the slope of f(x) = In(6x) at (2, 2.48). Use a graphing utility and round to the nearest…

A: Given: fx=ln6x To determine:  Slope of the given function at 2, 2.48

Q: The value of the fuction f(×) is 600 when x= 0 and decreases by 9% for every one - unit increase in…

A:

Q: Skyscrapers Corporation is engaged in the manufacturing of standard wide flange section of steel…

A:

Q: The monthly demand for insulated coffee mugs is given by q= 4400 − 200p, where p is the price of a…

A:

Q: The total revenue in Php received from the sale of x units of children toy is given by R(x) = 3x² +…

A:

Q: A minute ad during a campaign in 1973 cost $200,000. The price tag for a 30-second ad slot during a…

A: We are given that the cost of 30-second slot of advertising for a campaign can be modeled by…

Q: All units in a 100-unit apartment building are rented out when the monthly rent is set at r =…

A:

Q: The marginal profit in souls that Freddy Krueger makes from haunting nightmares, x, can be modeled…

A:

Q: The cost, `C`, in dollars to hire pavers to pave the parking lot at a shopping mall can be modelled…

A: This question can be solved using the concept of maxima and minima.

Q: 4) Where is the function g(x) = 3x2 -x+ 5 differentiable?

A:

Q: The range of the function y= 16-x2 is the interval [0, 0)

A:

Q: A computer virus is spreading according to the equation A = 0.5(20'), where t is the time in hours.…

A: Consider the given: The number  A of computer viruses spreading according  to the equation…

Q: The revenue function of a company as a function of units sold x is R(x)=2x−0.005x2. How many units…

A: Given revenue function: