Solve the problem.The price p and x, the quantity of a certain product sold, obey the demand equation p = - x + 100, {x|0 ? x ? 1000}a) Express the revenue R as a function of x.b) What is the revenue if 450 units are sold?c) Graph the revenue function using a graphing utility.d) What quantity x maximizes revenue? What is the maximum revenue?e) What price should the company charge to maximize revenue?

What will be an ideal response?


a.R(x) = - x2 + 100x
b. R(450) = $24,750.00
c. 
 
d.500; $25,000.00
e. $50.00

Mathematics

You might also like to view...

Divide the first polynomial by the second and state the quotient and the remainder.3x5 + 4x4 + 2x2 - 1, x + 2

A. Quotient: 3x4 - 2x3 + 4x2 + 6; remainder: -13 B. Quotient: 3x4 + 2x3 + 4x2 + 8x; remainder: -15 C. Quotient: 3x4 - 2x3 + 6x2 - 12; remainder: 23 D. Quotient: 3x4 - 2x3 + 4x2 - 6x + 12; remainder: -25

Mathematics

Determine the real zeros of the polynomial and their multiplicities. Then decide whether the graph touches or crosses the x-axis at each zero.f(x) = 5(x + 2)(x - 3)2

A. -2, multiplicity 1, touches x-axis; 3, multiplicity 2, crosses x-axis B. 2, multiplicity 1, touches x-axis; -3, multiplicity 2, crosses x-axis C. -2, multiplicity 1, crosses x-axis; 3, multiplicity 2, touches x-axis D. 2, multiplicity 1, crosses x-axis; -3, multiplicity 2, touches x-axis

Mathematics

Determine whether the equation defines y as a function of x.x + y = 9

A. y is a function of x B. y is not a function of x

Mathematics

Write an equivalent expression with negative exponents.

A. -20y-4
B. - 
C.
D. 5y-4

Mathematics