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 |
c.
| d. | 500; $25,000.00 |
Mathematics
You might also like to view...
Find the limit.
sin-1 x
A. -1
B. - 
C. 
D. 1
Mathematics
Solve. Express the result in scientific notation. If necessary, round the decimal factor to two decimal places.If the mass of an object is 7.62816 × 10-6 tons and its volume is 8.22 × 10-3 cubic feet, find the density of this object. (Use the formula D = 
.)
A. 9.28 × 10-3 tons per cubic foot B. 9.28 × 10-5 tons per cubic foot C. 92.8 × 10-4 tons per cubic foot D. 9.28 × 10-4 tons per cubic foot
Mathematics
Perform the indicated operations and write the answer in the form 
where a and b are real numbers.6i(3 - 3i)
A. 18i - 18i2 B. 18 + 18i C. 18i - 18 D. 18i + 18i2
Mathematics
Find the partial derivative.f(x,y) = 3x2 - 15xy + 7y3. Find 
.
A. 6x - 15y B. 6x - 15y + 21y2 C. -15x + 21y2 D. 6x2 - 15x
Mathematics