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lawyer [7]
2 years ago
9

Pls help soon:)

Mathematics
2 answers:
strojnjashka [21]2 years ago
8 0
P(x)=f(x)*g(x)
P(x)=(x-400)(1,200-2x)
P(x)=1,200x-2x^2-480,000+800x
P(x)=-2x^2+2,000x-480,000

Answer: Option <span>D. P(x) = -2x2 + 2,000x - 480,000</span>
Katena32 [7]2 years ago
6 0

Answer:

Option (D) is correct.

P(x)=-2x^2+2000x-480000

Step-by-step explanation:

Given : The number of units produced in May is given by function f(x) = x-400

and the manufacturer's profit per unit for May is given by the function g(x) = 1200-2x

We have  to determine the  total profit the manufacturer can earn in May, P(x).

Consider the given data

Since,   The number of units produced in May is given by function f(x) = x-400

and the manufacturer's profit per unit for May is given by the function g(x) = 1200-2x

Total profit that the manufacturer can earn in May is given by the product of number of units produced with the profit per unit.

that P(x)=F(x)\cdot G(x)

Substitute the values, we get,

P(x)=(x-400)\cdot(1200-2x)

Simplify, using FOIL method \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd

=x\cdot \:1200+x\left(-2x\right)+\left(-400\right)\cdot \:1200+\left(-400\right)\left(-2x\right)

We get,

P(x)=-2x^2+2000x-480000

Thus, Option (D) is correct.

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