A company manufacturing widgets has a fixed cost of $5,000, and a variable cost of $3 per widget. Suppose that the demand equation for widgets is given by q = 500 - 50p, where p is the price in dollars of one widget, and q is the number of widgets that can be sold at price p. 1. Write the function C(p), total cost, when the price is set at p
2. Write the function R(p),revenue, when the price is set at p
3. Write the function (p), profit, when the price is set at p
4. Find a function for the marginal profit for these widgets

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )