A company produces chairs for the local market. The company found that the average cost function and the demand function in a year are C(x)=50x+ 50000 and p(x)=300–0.05x respectively, where x is the number of chairs produced. %3D a) Find the cost function, revenue function, and profit function. b) Calculate the number of chairs that will maximize the profit. Hence, find the maximum profit. c) Determine the selling price for a unit of chair when the profit is maximum.

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: f(x) = 2x ^ 2 + 7x - 13          f(x) = - x ^ 2 - 2x + 9 Solve the following algebraically or…

A: Please see the below picture for detailed solution.

Q: (x-4)^2-(x-4)=20 Solve the equation

A:

Q: ve [No.5] -2 2 зах 9x²-6x+5

A: On solving this we will get

Q: For the quadratic equation 9x^2+(3k+1)x+4=0 find the value(s) of k so that there is 1 real root.

A:

Q: p(t)=-1718^2+82000+10000

A: Given:p(t)=-17182+82000+10000

Q: F(x)=4x^4-3x^3+8x-9 Divided by x-1 What is the remainder? Is x-1 a factor of the equation?

A:

Q: How to factor f(x)= 5x^4+3x^2-2 so you can get the zeros of the function

A: We have to write 3x^2 as 5x^2-2x^2.

Q: if f(x)=x2-4  f(square root of x+4)

A:

Q: How to find the x intercepts of P(x) = 0.65x^4 - 3.5x^2 - 12?

A: x−intercept:1335+4345​​​ and −1335+4345​​​Thatis,2.786 and −2.786 (Rounded up to 3 decimal places)…

Q: How to solve for P in this scenario 0= -25,000,000+(210,000x(P-75))/1.09^2?

A: The given equation is: 0= -25,000,000+(210,000x(P-75))/1.09^2

Q: show that the difference quotient of f(x)=square root of x can be written as 1/the square root of…

A:

Q: Please solve.  a) 6^x+3=1/216 b) 8^X+2=(1/4)^x+3 c) 5(3)^x=135

A: a) 6x+3=12166x+3=1636x+3=6-3x+3=-3  [Equate the exponents]x=-6

Q: Given f(x) = 4x^2-3 and g(x) = 6 - 1/2x^2a. (f of g)(4)b. (g of f)(2)c. (f of f)(1)d. (g of g)(0)

A: Composite function:A composite function is a function that depends on another function. This…

Q: F(x)=4x^2+16x+9 in simplest radical form when f(x)=0

A: To find the simplest radical form

Q: Find the zeros of f(x) = 3x^3 + 9x^2 + x + 3

A:

Q: Solve. A) 4x + 6(4^-x) = 5 B) 2(5^2x) + 2(5^x) = 4

A: Given: A)  4x+64-x=5       4x+64x=5       4x2+64x=5        4x2+6=54x        4x2-54x+6=0