The profit, P, (in dollars) for Ace Car Rental is given by P =100x -0.1x2 , where x is the number of cars rented. How many cars have to be rented for the company to maximize profits?

Q: If the profit function is  p(x)=-0.5(x-90)^2-50x+3850 what is the profit when producing 40 items?…

A: Consider the given function px=-0.5x-902-50x+3850

Q: Find the x coordinate of the vertex: f (x) = x +5x+3

A:

Q: many trees per acre will maximize the profit?

A: Use of derivatives,

Q: The annual revenue and cost functions for a manufacturer of grandfather clocks are approximately…

A:

Q: Find the slope of f(x)=3x−2 at (4,10).

A: The slope of straight line is constant for every value of x. We observe that the given function…

Q: R = 840x + 207x² – x³ X = units

A:

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 108x2/3 −…

A: R=108x2/3-6x

Q: Given the function y = x2 + 10x + 21, what is the least possible value of y? %3D

A:

Q: The profit from producing n quilts per year is given by the function P(n)=−15n^2+270n−840, where P…

A:

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 33x2/3 – 2x…

A: Given:- R = 33x(2/3) -2x To find:- Number of units x produces a maximum revenue R

Q: The profit for a product is given by ​ Px)=-12x^(2)+1600x-14400 where x is the number of units…

A:

Q: If P(x) = 1+ 5x – 2x represents the profit in selling z thousand Boombotix speakers, how many…

A:

Q: Find the point at which the line f(x)=5x+14 intersects the line g(x)=−2x (_,_)

A: Given that,  Line f(x) =5x+14 and line g(x) = -2x intersects. So, both the function gives the same…

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

A: Question is solved.

Q: f the profit function for a product is  P(x) = 6400x + 80x2 − x3 − 220,000  dollars, selling how…

A: The profit function is: P(x)=6400x+80x2−x3−220000

Q: The number of unique monthly visitors in millions to Facebook can be approximated by V(x) = 16x2 +…

A:

Q: A fast-food restaurant has a cost of production C(x)=11x+110 and a revenue function R(x)=6x. When…

A: I am going to calculate that when the company will start to run on profit just is when revenue…

Q: The weekly revenue from the production and sale of x units of grain is given by R(x) = 237x - x…

A: The weekly revenue from the production and sale of x units of grain is given by- R(x)=237x-x2 The…

Q: If the price charged for a bold is p cents, then x thousands bolts will be sold in a certain…

A: Given that,   P=64-(x/30)   Revenue (R) =number of bolts*price of bolts

Q: A jewelry maker incurs costs for a necklace according to C(X) = 37x + 1650. If the revenue function…

A: Given that  C(X) = 37x + 1650. R(x) = 87x

Q: The profit per acre from a grove of orange trees is given by x(230 - x) dollars, where x is the…

A: Given profit function :

Q: The profit (P) for a company is given by the equation P=-0.02x^2 + 1.40x + 1500, where x is the…

A: Consider the given profit function: P=-0.02x2+1.40x+1500 Where  x is the number of units sold Here,…

Q: A company that produces cell phones has a cost function of C the cost in dollars and x is the number…

A: Let's find critical points. The derivative of the cost function is  C'(x) = 20x - 189 The derivative…

Q: What values of a and b, with a < b, minimize the value of (x* – 2r?) dr?

A: The given integral is ∫abx4-2x2 dx. Draw the graph of the function y=x4-2x2 as shown below. .

Q: The profit per acre from a grove of orange trees is given by x(270 – x) dollars, where x is the…

A: Given, The profit per acre from a grove of orange trees is given by x(270-x) dollars, x is the…

Q: Find the range of values of x for which y = x3 + 5x2- 8x + 1 is increasing.

A:

Q: The function C(x)=−9x+2401 represents the cost to produce x items. What is the least number of items…

A: Obtain the average cost function for the given cost function as follows. Cx=Cxx=-9x+2401x=-9+2401x

Q: Find P(x), the profit function.

A:

Q: The net profit in dollars per day for a small business owner is given by the equation f (x) = -0.1x²…

A:

Q: A jewelry maker has total revenue for her bracelets given by R= 89.75x and incurs a total cost of C=…

A: The level of production for which the cost and the revenue are equal is called break even point.

Q: Show that an increase in the number of variables k never decreases the R2.

A: An increase in the number of k never decrease the coefficient of regression

Q: Find the point(s) of intersection. f(x) = 2x2 − 7x − 18 and g(x) = 3x + 10

A:

Q: The production costs per week for producing x widgets are given by: C(x) = 500+ 350x -0.09x², 0≤x≤…

A: The production cost per week for producing x widgets is given by: Cx=500+350x-0.09x20≤x≤1000To…

Q: A company's profit when it sells x thousand items is predicted to be…

A:

Q: The net profit in dollars per day for a small business owner is given by the equation f…

A: We know:

Q: The annual total revenue for Pilot V5 pens is given by R(x) = 1500x - 0.02x2 dollars, where x is the…

A: Given, R(x)=1500x-0.02x2

Q: Find the profit function if cost and revenue are given by C(x) = 130 + 2.2x and R(x) = 5x -0.09x.

A: Given: C(x)=130+2.2x R(x)= 5-0.09x2

Q: The total cost, in dollars, to produce bins of cat food is given by C(x)=15x+10582 The revenue…

A: The total cost, in dollars, to produce bins of cat food is given by C(x)=15x+10582 The revenue…

Q: The daily profit, P of a coffee shop is given by P=12x – 0.02x2 where x is the number of coffees…

A: We have to find the maximum profit from the given function.   According to our guidelines we can…

Q: Producing x footballs costs C(x) = 2.5x +500. If each football sells for $22.50, determine the…

A: Let x be the number of quantity.The selling price of the footballs is P(x) = $22.50x.And the cost…

Q: Suppose a manufacturer of washing machines found that when the unit price is $x, the revenue R (in…

A:

Q: The percent of high school students who smoked cigarettes on 1 or more of the 30 days preceding the…

A:

Q: A wholesaler of appliances finds that she can sell  (1100 − x)  flat-screen television sets each…

A:

Q: armer finds that if she plants 90 trees per acre, each tree will yield 75 bushels of fruit. She…

A: The maxima or minima of a function is were the first derivative is 0. For that point being maxima…

Q: Find the number of units, x, that produces the maximum profit P, if C(x) = 45+4x and p = 60 - 2x. A.…

A:

Q: A baker can sell as many baguettes as he chooses for $2 per loaf. He estimates his cost in dollars…

A:

Q: Find the point at which the line f(x)3 4x6 intersects the line g(x) =-4 +2

A:

Q: Find the point on the graph of the equation f (x) = x² – 8 that is closest to the point (0, -2)

A:

Q: The slope of the graph of the function y = 2x at (32,8) is %3D Tuno n mplifGed fraction

A: