The manufacturer of widgets spends $5 to make each widget and sells them for $8. The manufacturer also has fixed costs each month of $1200. Find the cost function C when x widgets are manufactured.

R(x)=8x

Step-by-step explanation:

We get the total revenue by multiplying the revenue per unit times the numbers of units sold, so the general Revenue function is given by

R(x)=selling price per unit⋅x.

The manufacturer sells each widget for $8 so the Revenue function is

R(x)=8x.

C(x)=5x+1200

Step-by-step explanation:

The general Cost function formula is given by

C(x)=cost per unit⋅x+fixed costs.

The manufacturer has fixed costs of $1200 no matter how many widgets it produces. In addition to the fixed costs, the manufacturer also spends $5 to produce each widget. If we substitute these values into the general cost function, we find that the cost function when x widgets are manufactured is given by

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4