Final answer:
To find the break-even points for the company, set the total revenue equal to the total cost using the given cost and revenue functions.
Step-by-step explanation:
The break-even points for the company can be found by setting the total revenue equal to the total cost. At the break-even point, the company is neither making a profit nor a loss. Let's solve the equation to find the break-even points.
Given the cost and revenue functions, we need to find the values of x when the total revenue (TR) equals the total cost (TC). We can set up the following equation:
TR = TC
Using this equation, we can find the break-even points:
a) x = 0 and x = 100
b) x = 300 and x = 500
c) x = 140 and x = 400
d) x = 700 and x = 800