Respuesta :
Answer:
[tex]P(d)=-33.75d^2+1800d-2000[/tex]
Step-by-step explanation:
The profit function is:
[tex]P(d) = -15d^2+1,200d-2,000[/tex]
Where
P is the profit
and
d is the number of units sold
Now, there is a 50% increase in number of units sold, so d will become:
50% = 50/100 = 0.5
d + 0.5d = 1.5d
So, we have to replace "d" with "1.5d" in the function, which makes it:
[tex]P(d) = -15d^2+1,200d-2,000\\P(d) = -15(1.5d)^2+1,200(1.5d)-2,000\\P(d)=-15(33.75)d^2+1800d-2000\\P(d)=-33.75d^2+1800d-2000[/tex]
From the equations shown, last answer choice is correct.
[tex]P(d)=-33.75d^2+1800d-2000[/tex]