Question #315440

The demand function π‘„(𝑃)

Q(P) and cost functions πΆ(𝑄)

C(Q) of a company's are given by the equations:

𝑄=12000βˆ’60𝑃

Q=12000βˆ’60P

𝐢(𝑄)=10000+4𝑄,

C(Q)=10000+4Q,

where π‘ƒ

P and π‘„

Q are the price and quantity, respectively. 

What is the company's profit function?


a.

=βˆ’60π‘ƒβˆ’4𝑄+2 000

=βˆ’60Pβˆ’4Q+2 000


b.

=βˆ’60𝑃

2

+11 760π‘ƒβˆ’58 000

=βˆ’60P2+11 760Pβˆ’58 000


c.

=βˆ’60𝑃

2

+12 240π‘ƒβˆ’58 000

=βˆ’60P2+12 240Pβˆ’58 000


d.

=βˆ’60𝑃

2

+12 240𝑃+38 000


0
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