Provide an appropriate response.The demand function for a manufacturer's product is p = f(q) = 600 - 2q, where p is the price (in dollars) per unit when q units are demanded (per week). Find the level of production that maximizes the manufacturer's total revenue and determine this revenue.

Fill in the blank(s) with the appropriate word(s).


150; $45,000

Mathematics

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Find the indicted product and simplify if possible.Measurements concerning the volume of liquid flowing through a valve result in the expression 

A. 3F5 + 9F3 - 4F2 + 4F - 16 B. 3F6 - 3F4 + 12F3 - 4F2 + 4F - 16 C. 3F5 - 3F4 + 12F3 - 4F2 - 4F - 16 D. 3F5 - 3F4 + 12F3 - 4F2 + 4F - 16

Mathematics

One period of the given function is defined below. Determine whether the function is even, odd, or neither.f(x) = x cos 2x-2 ? x < 2

A. Odd B. Neither C. Even

Mathematics

Solve for x in the proportion. If possible, reduce the known fraction first. = 

A. x = 
B. x = 
C. x = 
D. x = 

Mathematics

Complete the table and use the result to find the indicated limit.If f(x) = x2 + 8x - 2, find  f(x). 

A.
 ; limit = 5.40
B.
 ; limit = 17.70
C.
 ; limit = ?
D.
 ; limit = 18.0

Mathematics