1. Given the following revenue and cost function for a businessfirm, calculate the break-even quantity, total revenue, total cost and total profit at break-even level of production.

revenue function R = F(Q) = 4q

total cost C = F(Q) = 12 + 2q

2. Given the following revenue and cost function for a business firm, calculate the break-even quantity, total revenue, total cost and total profit at break-even level of production.

total revenue R = f(q) = 30q

total cost C = 100 + 5q + q squared

a. Find the first derivative using the limits formula [dy/dx lim x-0]

b. Calculate the maximum profit at the profit maximization level of production

Please see the attached file.

1. Given the following revenue and cost function for a business firm, calculate the break-even quantity, total revenue, total cost and total profit at break-even level of production.

revenue function R = F(Q) = 4q

total cost C = F(Q) = 12 + 2q

Solution. To find the break-even quantity, we let R=C. So,

4q=12+2q

So, q=6

When q=6, we have

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Statistics and quantitative analysis for revenues and cost functions are examined.