For a certain company, the cost function for producing x items is C(x)=30x+100 and the revenue function for selling x items is R(x)=-0.5(x-100)^2+5,000. The maximum capacity of the company is 140 items. A.) Assuming that the company sells all that it produces, what is the profit function? Solve.
P(x)=
B.) What is the domain of P(x)
C.) The company can choose to produce either 70 or 80 items. what is their profit for each.
Profit when producing 70 items=
Profit for producing 80 items=
D.) can you explain from the model, why the company makes less profit when producing 10 more units.​

first one because it can't have a fraction in it

step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week