A company produces two types of bicycles; mountain bikes and racing bikes. It takes 7 hours of assembly time and 9⁄2 hours of mechanical tuning time to produce a mountain bike. It takes 10 hours of assembly time and11/2 hours of mechanical tuning time to produce a racing bike. The company has at most 24 hours of mechanical tuning labor per week and at most 161 hours of assembly labor per week. The company's profit is $50 for each mountain bike produced and $200 for each racing bike produced. The company wants to make as much money as possible. Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce. Which of the following is the objective function for the problem?

a) Maximize P = 200x + 50y
b) Minimize P = 200x + 50y
c) Maximize P = 10000xy
d) Minimize P = 50x + 200y
e) Maximize P = 50x + 200y
f) None of the above.

1/800 is the right answer

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

answer is  

c.

36

step-by-step explanation:

p - 6

step-by-step explanation

so you know that it cost $6 to see a movie you subtract p - 6 to get your answer

hope this !