The function f(x) = 4x + 5,000 represents the amount of money a television is being sold for, where x is the number of televisions being manufactured. The function g(x) = 20x − 500 represents the cost of production, where x is the number of televisions being manufactured. What is (f − g)(100)? Explain. $6,900 is the profit made from 100 televisions. $3,900 is the profit made from 100 televisions. $6,900 is the cost of manufacturing 100 televisions. $3,900 is the cost of manufacturing 100 televisions.

$3.9K is the profit made from 100 TVs

Step-by-step explanation:

Step-by-step explanation:

the profit is defined by

Profit=Gain-cost

In this case (F-g)(100)= is the profit to sell 100 television and is calculated

F(x)-g(x)=4x+5000-(20x-500)=4x-20x+5000+500=-16x+5500=-16*(100)+5500=3900

3900=3.9k

b

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204