An employee's monthly productivity M, in number of units produced, is found to be a function of the number t of years of service. For a certain product, a productivity function is shown below. Find the maximum productivity and the year in which it is achieved. M(t) = - 21 + 104t+ 120, 0sts40 The maximum productivity is achieved in year The maximum productivity isunits.

Q: small company of science writers found that its rate of profit​ (in thousands of​ dollars) after t…

A: Given: Profit function: P'(t)=(3t+3)(t2+2t+2)13

Q: Determine a possible equation y = a (x+ 5) x (x – 5) of the function. Leave your 10 = a (-3 + 5)…

A: We need to find the equation of the given graph by observing the zeros of the function and given…

Q: The profit P, in thousand of dollars, that a manufacturer makes is a function of the number N of…

A: The profit P=-0.2N2+3.6N-9 (a) The functional notation at a production level of 4 items per year is…

Q: The profit P, in thousand of dollars, that a manufacturer makes is a function of the number N of…

A: Given P = −0.2N2 + 3.6N − 9

Q: 6. Consider the quadratic function whose equation is f (x)= x²+ 2x-8. (a) Sketch a graph of f on the…

A:

Q: The zeros of a function are 3 and 4, while the zeros of a second function ) are 3 and 5. What are…

A:

Q: Clovis measures its height h of the rocket above the sloping ground while it is going up. Consider…

A:

Q: The cost per unit C, in dollars, of producing z off-road 4x4 ATV at a local manufacturing plant is…

A: To find minimum cost per unit and number of units, we use the application of calculus. If a function…

Q: Consider the function h (x) = 2x^2 – 8x – 10. Find its vertex

A:

Q: The profit function for a certain commodity is  P(x) = 190x − x2 − 1000.  Find the level of…

A: Consider the given function.  Differentiate the function and equate it with 0. This will give the…

Q: f(r) = 2x- 33x2 + 108x +9 This function has a local minimum at x equals The minimum height is This…

A: f(x)=2x³-33x²+108x+9 To find local maxima, minima, maximum and minimum value

Q: The profit function for a certain commodity is  P(x) = 180x − x2 − 2000.  Find the level of…

A:

Q: A Rectangular box is to have a square base and a volume of 50ft^3. The material for the base costs…

A: Given: A Rectangular box is to have a square base and a volume of 50ft3, the base costs 29…

Q: The profit function for a certain commodity is  P(x) = 190x − x2 − 1000.  Find the level of…

A:

Q: Rewrite the quadratic function in standard form. f(x) = x2 − 16x + 70 f(x) =        Give the…

A: First we write this into standard form then calculate the vertex.

Q: b 11. Find the vertex of f (x) = x² – 8x + 16. Use x = 2a A. (4,0) (- 4,0) С. (0,4) D. (0, -4) B.

A:

Q: The profit function for a computer company is given by P(x) = -a? + 30x – 24 where a is the number…

A:

Q: The profit function for a certain commodity is P(x) = 150x - x2 - 1000. Find the level of production…

A: We need to find x and maximum profit.

Q: Q3:Find the maximum and minimum value if any of the function f(x) = (2r – 1)2 + 3

A:

Q: A swimming pool company is selling pools and offers building pools from 1 foot to 15 feet deep. The…

A: Given: Swimming pool company offers building pools from 1 foot to 15 feet deep. V=d(50-3d)2 Where V…

Q: The cost per unit C, in dollars, of producing x off-road 4x4 ATV at a local manufacturing plant is…

A: The cost per unit function is given by C = 2x2-852x+94998                            ........(1)…

Q: Profit The weekly revenue for a product is givenby R(x) = 120x - 0.015x2, and the weekly costis C(x)…

A:

Q: (a) Use a formula to express the total monthly revenue R, in dollars, of this manufacturer in a…

A: Given, Fixed costs of manufacturing of widget =  $1700 per month  Variable cost  = $18 per widget…

Q: 1. A population of 200 rabbits was introduced to an island. One week later the number of rabbits was…

A:

Q: The reproduction function for king salmon in a sea is f(p) = - p + 8.5p, where p and f(p) are in…

A: Given,           The reproduction function for king salmon in a sea is fp=-14p2+8.5p ;…

Q: Given te function g(r) = 3r - 12r - 36r2: its g-intercept is its r-intercepts are

A: We have to find the intercepts

Q: .Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is…

A: Let's find.

Q: A quadratic function of the form f(x) = ax2 + bx + c with b2 - 4ac > 0 may also be written in the…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: A cup of hot coffee is placed in a cold room.  The temperature (in degrees Fahrenheit) of the coffee…

A:

Q: g) Create the Profit function, P(x) for the cell phones a Profit = Revenue - Costs. PlX) =250x…

A:

Q: The reproduction function for king salmon in a sea is f(p) = - p? + 9.5p, where p and f(p) are in…

A: Given, The reproduction function  fp = -18p2+9.5p  We have to find the population p which gives…

Q: Profit The profit from the production and saleof specialty golf hats is given by the functionP(x) =…

A: Given: Px=20x-4000, where x is the number of hats produced and sold For finding number of hats which…

Q: 6) Consider the function f (x) = x² + 2x – 48 find the coordinate of the vertex, the y-intercept,…

A: Given: Quadratic function, f(x)=x2+2x-48

Q: he profit function for a certain commodity is  P(x) = 180x − x2 − 1000.  Find the level of…

A:

Q: A firework is shot into the air, but it malfunctions and does not explode. The firework's height…

A: The fireworks height at t seconds is h(t)=-4.9t2+29.4t-40.1

Q: Player Productions theatre finds that their ticket sales for Friday night performances (number of…

A: Given:  g(t) = 2.3 h(t+0.25)

Q: The population in thousands of people of a small town can be modeled by the function P(t) = x 2 -…

A:

Q: Find the domain of the function.

A: Given: gt=3-t-2+t For gt to be a real valued function, 3-t≥0 and 2+t≥0 .3-t≥0 and 2+t≥0 .t≤3 and…

Q: An apartment complex has 100 two-bedroom units. The monthly profit (in dollars) realized from…

A:

Q: The number of admissions to all types of hospitals in a country between 1988 and a. The number of…

A:

Q: Find the value of b that gives the function the given maximum value.f (x) = -x2 + bx + 2; maximum…

A: Consider the function  Maximum value=6

Q: Home Range The home range of an animal is theregion to which the animal confines its movements.The…

A: The function given to us is  h(x)=0.11(x)1.36 where x is the mass of the animal in grams and h(x) is…

Q: For a certain company, the cost for producing a items is 40x +300 and the revenue for selling z…

A:

Q: The profit function for a certain commodity is  P(x) = 170x − x2 − 1000.  Find the level of…

A: Given data:     The given expression for the profit function is: P(x)=170x-x2-1000.   The expression…

Q: The profit function P(x) of a company selling x items perday is given P(x) =(150-x)x-1000. Find the…

A:

Q: 6. A projectile has a height given by the function h(t)=-4.9(t-4)° +153, where time, t, is in…

A: First differentiate then solve

Q: a) Expand the function f(x) = –3 (x + 5) (x – 4) (x – 5) f(x) = b) What are the zeros of the…

A: Topic = Functions

Q: The profit P, in thousand of dollars, that a manufacturer makes is a function of the number N of…

A: Given information: The profit P, in thousand of dollars, that a manufacturer makes is a function of…

Q: A university project that enrollments are going to decline as the pool of college-aged applicants…

A: Given that: The number of applications for admission to the university is estimated by the function…

Q: A rocket carrying fireworks is launched from a hill 80 feet above a lake. The rocket will fall into…

A: