Please help me resolve this problem !

For a certain company, the cost function for producingx

items isC(x)=30x+150

and the revenue function for sellingx

items isR(x)=0.5(x90)2+4,050.

The maximum capacity of the company is150 items.

Part a: Answer the following questions about the cost functionC(x)

and the revenue functionR(x)

1-What is the domain and range ofC(x)?

2-What is the meaning of the slope and intercept ofC(x)?

3-At what production levelx

will the company receive the most revenue?

The maximum revenue occurs whenx=?

Part b: Answer the following questions about the profit functionP(x)

.

4-Assuming that the company sells all that it produces, what is the profit function? P(x)=

5-Why is finding the range ofP(x) important?

6-The company can choose to produce either60

or70 items. What is their profit for each case, and which level of production should they choose?

Profit when producing60 items =

Profit when producing70 items =

7-Can you explain, from our model, whythe company makes less profitwhen producing 10 more units?