WebJan 5, 2024 · $\begingroup$ Yes that is right, marginal revenue is the derivative of total revenue. That's also what's in the question. I think I have given all the relevant information. P and Q are both functions of each other. Basically P*Q is taken the partial derivative of to Q, not using the fact that it equals aP-bP^2. Maybe the total derivative is used? WebJan 10, 2024 · In calculus terms, the marginal revenue (MR) is the first derivative of the total revenue (TR) function with respect to the quantity: ... or $10 x 20. The total revenue from producing 21 units is ...
How to Solve for Total Revenue and Marginal Revenue - YouTube
WebApr 25, 2024 · In other words, if a company is making ???100??? units of their product, the revenue function will tell them how much revenue will be generated by the ???100??? units, the cost function will tell them how much it’ll cost to produce the ???100??? units, and the profit function will find the total profit gained from producing and then selling ... WebMar 26, 2016 · Determine marginal cost by taking the derivative of total cost with respect to quantity. Set marginal revenue equal to marginal cost and solve for q. Substituting 2,000 for q in the demand equation enables you to determine price. Thus, the profit-maximizing quantity is 2,000 units and the price is $40 per unit. dhb offer
Marginal vs Derivative: Same or Different? – The Math Doctors
WebMay 23, 2024 · Derivative of total revenue; Derivative of total revenue. calculus derivatives. 2,866 really this is just differentiation, so no need to get too confused here. … WebUsing the second derivative test, \( R''=-20 \lt 0 \) (for any value of \( p \)), so the critical number is a local maximum. Since it is the only critical number, we can also conclude that it is the global maximum. The promoter will be able to … WebMar 26, 2016 · Because total revenue and total cost are both expressed as a function of quantity, you determine the profit-maximizing quantity of output by taking the derivative … cifra ray charles